Projects - User contributions [en]

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:15:02Z

A1783687: /* Bend designs E-field plots */

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|right|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|center| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
=== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 10 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Fig 10: Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 10. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 10. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Fig11: Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 12: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 13: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 14: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 15: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:14:43Z

A1783687: /* Bend designs E-field plots */

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|right|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|right| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
=== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 10 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Fig 10: Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 10. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 10. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Fig11: Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 12: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 13: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 14: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 15: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:12:28Z

A1783687: /* Effective medium cladding */

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:09:39Z

A1783687: /* Results */

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|center|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|center| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
=== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 10 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Fig 10: Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 10. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 10. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Fig11: Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 12: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 13: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 14: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 15: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:09:20Z

A1783687: /* Simulation Optimizer */

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|center|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|center| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
=== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 10 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Fig 10: Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 10. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 10. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Fig11: Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 12: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 11: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 12: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 13: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:09:02Z

A1783687: /* Ideal bend radius */

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|center|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|center| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
=== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 10 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Fig 10: Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 10. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 10. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Fig11: Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 10: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 11: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 12: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 13: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

2021-06-09T12:07:12Z

A1783687: /* Ideal bend radius = */

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|center|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|center| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
=== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 7 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 8. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 8. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 10: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 11: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 12: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 13: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

Projects:2020s2-7153 High-efficiency planar waveguides for terahertz waves

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A1783687:

== Abstract ==
Terahertz integrated systems are still in its infancy in terms of its technology. However, it has shown a great number of potential uses in communication, radar, imaging and sensing.

This project aims to continue the study of waveguide by examining the dispersion, cross-polarization and crosstalk, along with the characteristics of bends and crossings over the 220 to 330 GHz (WR-3 band) operating frequency range. The waveguides are substrate-less effective medium with a subwavelength arrays of hole while supporting Ex11 and Ey11 modes with low loss and low dispersion. As a step to reduce significant absorption in metals and dielectrics at terahertz frequencies, the self-supporting structures are built by using a single silicon wafer.

== Introduction ==
With a substantially growing proportion of the world's population accessing online services, data traffic has grown significantly. Most terahertz (THz) sources, however, are inaccessible, so designing efficient THz waveguides for versatile broadband THz radiation delivery is an important step towards terahertz techniques for practical applications. The terahertz spectrum that covers the frequency range from 0.1 to 10THz is an appropriate option for the support of the high-speed wireless sight transmission line by convergence electronics and optics. When used to connect the numerous THz point devices, such as sources, filters, sensor cells and detectors, THz waveguides can be very beneficial on system integration stage.

=== Project team ===
==== Project students ====
* Mahmoud Alshnqiti
* Muhammad Zulhisyam Mohd Hosni
* Muhammad Hairie Mohd Hamdan

==== Supervisors ====
* Dr. Withawat Withayachumnankul
* Dr. Wendy Lee
* Weijie Gao

=== Motivation ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [7]. Recently, the Federal Communications Commission department in united states has allocated the 100-300 GHz band, paving the grounds for future commercialising of the 100-300 GHz bandwidth [8]. The terahertz frequency range 220-330 GHz, also known as WR-3 band, provides a broad window for short-range communications due to its relatively low and relatively stable atmospheric attenuations, as shown in figure 2 [6].

Nevertheless, different waveguides have been proposed for terahertz and come with different trade-offs in respect to bandwidth, attenuation loss, and dispersion. According to [1], planar waveguides with low loss and low dispersion are promising and essential to exploit the absolute bandwidths for communications in the terahertz region [9].

A potential terahertz waveguides candidate are the effective-medium clad waveguides by [1] which have a high bandwidth, low dispersion, and an exceptionally low. Moreover, several effective-medium clad interconnects had been characterised and implemented, including a straight waveguide, crossings, and 90°bend interconnects. The optimal standard bend of the proposed terahertz platform has a limiting radius size of 2 mm which is approximately equivalent to 5λg,330, where λg,330o is the wavelength of the propagating wave at 330 GHz. However, small radius bends are essential to achieve high packaging density, improve the functionality of integrated circuits, and lower the cost of mass production [3]. Nevertheless, smaller bends are associated with higher loss proportional to the decrease in the bend radius [10]. Therefore, a low loss and more compact bend is desirable and essential for efficient integrated effective-medium clad terahertz circuits.

=== Objectives ===
Due to its short wavelength, compared to microwave frequencies, terahertz frequencies have been recognized as a candidate to fulfill the high data traffic demands with attention to commercialize communications over the terahertz band [3].

The principle objective of this project to enhance the effective-medium-clad waveguides which is foreseen as a promising candidate for terahertz integrated circuits. Accordingly, we are enhancing the compactness of the platform by proposing a new bend design with smaller footprint. However, the main challenge is to decrease the footprint while maintaining high transmission, physical structure strength, and adhering the fabrication limitation.

== Background ==
=== Terahertz background ===
The term terahertz (THz) is a prefix which refer to 1012. In the past, the terahertz region was treated as a spectrum gap due to the lack of efficient and affordable sources, and sensors required to exploit the terahertz spectrum [4]. Supported by the advancements in ultrafast lasers, terahertz applications have rapidly developed in past few decades as an enabling technology for many areas, such as: high data transmissions, non-destructive imaging, and radar [5].Prospective broad bandwidth applications are various and include short range board-board and intra-machine communications, and long-range directional communications for mobile station backbones [8]. This is inspired by the high data transmission potentials for terahertz.

However, the terahertz domain typically defined as the frequencies from 100 GHz to 10 THz. The terahertz domain falls between the electronics and the photonics domains. The terahertz has special characteristics as it can penetrate plastic and fabric (e.g. dry clothes) and it's suitable for non-destructive imaging.

=== Waveguides background ===
A waveguide is a physical structure that guides and confines propagating electromagnetic waves [11]. A large number of waveguides, inspired from microwave and photonic domains, proposed for the terahertz region and come with different trade-offs related to dispersion, bandwidth, and attenuation loss, [1]. For instance, photonic crystal waveguides, which are metal-free and inspired from the photonic domain, can have a lower attenuation about 1.0-0.1 dB/cm [2]. However, the bandwidth of photonic crystal waveguides is limited by the bandgap in which wider bandgaps are associated with strong in-band dispersions [2]. Nevertheless, dielectric rectangular waveguides, which are the fundamental and the natural structures for integrated optics, proposed broad bandwidth and a low loss [9]. However, rectangular waveguides are not integrable into other structures and lack self-support which limit the use of rectangular waveguides in integrated terahertz circuits [1]. On contrast, [1] proposed an integrable platform for terahertz applications based of effective medium cladding. The proposed platform relies on the effective-medium cladding to confine the signal and few interconnects have been characterized and implemented. The proposed waveguide interconnects include a straight waveguide and a 90° bend component.

=== Effective medium cladding ===
Silicon has a high refractive contrast of n = 3.418 , allowing for high degree of confinement in the core via total internal reflections. By perforating cylindrical holes in a silicon wafer, with a small period compared to the wavelength, we could achieve an effective medium that has a refractive index between silicon and air. Figure 1 shows the model for the effective-medium-clad straight waveguide proposed by [1].
[[File:Effective medium cladding model.png|thumb|center|Fig 1: Effective medium cladding model]]
It's worth mentioning that the anitrpoic permettivy of he foundemtal modes are dependate on the mode in which it can approxmiated using Maxwell-Garnett approximation as shown in figure 2 [2].
[[File:Equation20.png|frame|center|Fig 2: Equation of Maxwell-Garnett Approximation. Adapted from [1]]]
Figure 3, shows the waves concentrated in the core by total internal reflections with small exponential decaying penetration in the claddings.
[[File:Std ey straight.jpg|thumb|center|Fig 3: EY11 mode E-field propagation in straight waveguide]]

=== Experimental demonstration of the effective-medium-clad waveguides ===
Since this wiki page doesn't allow embedding videos from external links, here is a link on the an experimental demostration of the usage of effective-medium-clad waveguies in the transmission of a uncompressed 4K video. video comprsseion is an method in which some algrothims, more likely fast motion estimation algrothims are used to decreased the data transmitted by only send the video frames portions that has changed. Therefore, we the video transmitted was not compressed.

* Here is the link to video on YouTube platform: https://www.youtube.com/watch?v=NtyunEEIOR4

== Method ==

Similar to most RF related projects, the feedback of the quality of solutions proposed in this project are evaluated using a full-time software simulation package. Namely, CST software. In addition, after a satisfactory design simulations results, the design is sent oversees for fabrication. The process of fabrication is called deep reactive ion-etching (DRIE). The DRIE consitsts of a laser with high resolution that can make perforations into a slab of silicon with a diameter greater than 20μm.

=== CST simulations ===
The bend designs will be simulated in CST. CST is a software package for electromagnetic simulations that allows creation and simulation for electromagnetic systems. The results of CST simulations can estimate physical electromagnetic applications to an acceptable level of accuracy. Figures 4-5 show a CST simulation for a bend waveguide component based on the effective medium cladding propagating in EY 11 mode. To track the attenuation loss, CST logs attenuation parameters for the simulated designs as shown in figure 6.

=== Bend designs E-field plots ===
[[File:EY summary list.png|thumb|center| Fig 4: EY11 mode - summary of different E-field simulations]]
[[File:EX summary list.png|thumb|center| Fig 5: EX11 mode - summary of different E-field simulations]]
The e-field plots shows strong bend radiation in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the waves radiating from the core which are also similar to the standard bend with 2mm bend radius.

=== Bend designs transmission coefficients (before normalization) ===
[[File:Ey bending loss summ.png|thumb|center | EY11 mode non-normalized transmission coefficients]] [[File:Ex bending loss summ.png|thumb|center|Fig 6: EY11 mode non-normalized transmission coefficients]]

The transmission coefficients plots shows strong bend loss in the standard bend with 0.75mm bend radius for both fundamental modes EY11 and EX11. On the other hand, the proposed bend design shows significant reduction in the bend loss which have similar levels to the standard bend with 2mm bend radius. Hence, the animations and the transmission coefficients suggest improved bend loss with proposed bend design.

{| class="wikitable"
|-
! Polarization !! 220-260 GHz Average (dB) !! 260-330 GHz average
|-
| EX11 || 0.250 || 0.025
|-
| EY11 || 1.450 || 0.250
|}
=== E-field simulation animations ===
[[File:Bend - Ey (c=225,h=250) 0 0 01.gif|thumb|center|Fig 7: Proposed bend design EY11 mode animations]]
[[File:Bend - Ey (c=225,h=250) .gif|thumb|center|Fig 8: Standard bend design EY11 mode animations]]

As can be seen from the simulations, the standard bend has strong waves radiations in the core. On the other hand, the new proposed design has significantly decreased the radiation out of the bend structure.
== Ideal bend radius ===
The ideal bend would be a bend with a zero radius. However, this imply the 2 connected waveguides are touches which might add addtional loss due to crosstalk and waves interferance. However, the theortical bend is just used as areference in which it would be desirable which will give the system design more choices in tern fabrication options.
[[File:Ideal bend.png|thumb|center|Fig 9: Ideal bend with zero radius]]
To better demonstrate the ideal zero-radius bend, 2 straight effective-medium clad interconnects are cascaded to form a 90° bend (figure 6) and simulated in CST. Figure 7 shows the simulation design for the zero-radius bend example.
[[File:Ideal.png|thumb|center|Zero-bend field distributions simulation ]]

Attenuation parameters of the simulated zero-radius bend is shown in figure 8. The field distributions are emitted away from the interconnects junction as demonstrated in figure 7. As a result, the attenuation loss is very significant compared to the standard design bend of radius 2mm as shown in figure 8. Therefore, the optimal bend is required to achieve a compact radius footprint while maintaining low loss attenuations.

[[File:Ideal3.png|thumb|center|Attenuation parameters results for zero-radius bend simulated in CST. The figure shows attenuations parameters for the zero-radius bend compared with a standard bend radius of 2 mm.]]

=== Simulation Optimizer ===
Since the project outcomes rely heavily on the software simulator. We implemented a MATLAB program that could control the simulation tool and optimizer the design by making efficient use of time and computing resources. The optimizer analogy is shown in figure 9.
[[File:MATLAB-CST.png|thumb|center|Fig 10: MATLAB-CST optomizer]]

== Results ==
=== Bending design outcomes ===
* Successfully decreased the bend design footprint by almost a factor of 3.
* The proposed bend design maintained high efficiency transmission in both fundamental modes EX11 and EY11.
* We proposed equations that can be used for designing waveguides bends universally.

More importantly, the principle outcome of this project is that we proposed a novel bend design that can achieve high transmissions and is simple to implement in which we anticipate to be greatly beatifical for researchers in photonics.

[[File:Std 750 ey.jpg|thumb|center|Fig 11: Comparison of total bend loss of the proposed design in EX11 mode with the standard design]]

[[File:Std 750 ex.jpg|thumb|center|Fig 12: Comparison of total bend loss of the proposed design in EY11 mode with the standard design]]
=== Bending design method ===
A new method for designing sharp and compact bends are proposed in this project. The method is expected to have a great potential due to the high efficiency in effective-medium-clad bending designs and it's implementation simplicity which might be useful in other photonic integrated circuits.

Note: The new proposed bending design method can't be displayed to protect copyrights of the authors.

=== Bending design - universal equation ===
[[File:Bend equation.jpg|thumb|center|Fig 13: Different bends can be realized using a single equation]]
Note: The equations can't be displayed to protect copyrights of the authors.

== Conclusion ==
In conclusion, the effective-medium-clad waveguides has a potential to be a platform for terahertz integrated circuits. In this project, we successfully decreased the footprint of the bend waveguide by almost a factor of 3. However, the bend is core component in integrated terahertz circuits, and therefore, we improved the compactness of the effective-medium-clad waveguides by decreasing the footprint of the bend component. In addition, we proposed a new approach for designing bend with loss-low and additional implementation simplicity which we anticipate will be of great interest for researchers in photonics. The new design method and the equations were not mentioned in this wiki page, since it's expected to be published in scientific journals in the upcoming times.

== References ==
[1] W. Gao, Y. Xiongbin, M. Fujita, T. Nagatsuma, C. Fumeaux and W. Withayachumnankul, "Effective-medium-cladded dielectric waveguides for terahertz waves," Optical Society of America (OSA), 2019.

[2] W. Gao et al., "Characteristics of Effective-Medium-Cladded Dielectric Waveguides", IEEE Transactions on Terahertz Science and Technology, pp. 2,9, 2020.

[3] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[4] K. Sakai, Terahertz optoelectronics. Berlin: Springer, 2011, p. i-iv.

[5] K. Sengupta, T. Nagatsuma, and D. M. Mittleman, “Terahertz integrated electronic and hybrid electronic–photonic systems,” Nat. Electron., vol. 1, no. 12, pp. 622–635, 2018.

[6] Kallfass, I., Boes, F., Messinger, T., Antes, J., Inam, A., Lewark, U., Tessmann, A. and Henneberger, R., 2015. 64 Gbit/s Transmission over 850 m Fixed Wireless Link at 240 GHz Carrier Frequency. Journal of Infrared, Millimeter, and Terahertz Waves, 36(2), pp.221-223.

[7] J. Campion et al., "Toward Industrial Exploitation of THz Frequencies: Integration of SiGe MMICs in Silicon-Micromachined Waveguide Systems," in IEEE Transactions on Terahertz Science and Technology, vol. 9, no. 6, p. 624, Nov. 2019, doi: 10.1109/TTHZ.2019.2943572.

[8] FCC Online Table of Frequency Allocations, Federal Communications Commission, Washington DC, USA, 2018. [Online]. Available: https:// transition.fcc.gov/oet/spectrum/table/fcctable.pdf

[9] Pollock, C. and Lipson, M., 2010. Integrated Photonics. Norwell, Mass.: Kluwer Academic, pp.11-100.

[10] E. Neumann and W. Richter, "Sharp bends with low losses in dielectric optical waveguides", Applied Optics, vol. 22, no. 7, p. 1016, 1983.

File:Ideal3.png

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ideal

File:Ideal.png

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ideal

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Bend

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A1783687: /* References */

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A1783687: /* References */

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A1783687: /* References */

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A1783687: /* Objectives */

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A1783687: /* Bending design method */

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A1783687: /* Simulation Optimizer */

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A1783687: /* Bending design - universal equation */

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A1783687: /* Method */

File:MATLAB-CST.png

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MAT

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A1783687: /* Bend designs transmission coefficients (before normalization) */

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A1783687: /* Background */

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A1783687: /* Background */

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A1783687: /* Objectives */

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A1783687: /* Background */

File:Equation20.png

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Equ

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A1783687: /* Bend designs E-field plots */

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A1783687: /* References */

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A1783687: /* Experiment */

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A1783687: /* Background */

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A1783687: /* Conclusion */

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A1783687: /* Bending design method */

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A1783687: /* Method */

File:Bend - Ey (c=225,h=250) .gif

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Standard

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Best design

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A1783687: /* Bending design method */

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A1783687: /* Results */

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A1783687: /* Bending design outcomes */

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A1783687: /* Results */

File:Bend equation.jpg

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Bend eqautions

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A1783687: /* Results */

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A1783687: /* Bend designs transmission coefficients before normalization */

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A1783687: /* Bend designs transmission coefficients after normalization */

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A1783687: /* Bend designs E-field plots */

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A1783687: /* Standard designs */

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A1783687: /* Method */

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A1783687: /* Standard designs = */

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A1783687: /* Standard designs = */

File:Ex bending loss summ.png

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EX summary