Basic Logic Gates in Two Dimensional Photonic Crystals for All Optical Device Design
Abstract
The research carried out in the field of optics and photonics with an idea to design and develop the all optical logic devices in the fascinating material known as photonic crystals (PhCs). The structural investigation reveals that the two dimensional (2-D) PhCs is more suitable for fabrication of optoelectronic components. In this article we have designed basic logic gates in 2-D PhCs as they are the building blocks for the construction of optical devices and in these, refractive index is periodically modulated with the wavelength. The understanding of light behaviour in complex PhCs helps in creating photonic band gap (PBG) that can prevent light of certain wavelength propagating in crystal lattice structure. For the selected geometry structure, three PBG bands will exists out of which two of them are transverse electric (TE) and one is transverse magnetic (TM) mode. The PBG bands in the TE mode ranges from 0.31(a/λ) to 0.46(a/λ) , 0.61(a/λ) to 0.63(a/λ) and TM mode ranges from 0.86(a/λ) to 0.93(a/λ). The free space wavelength of 1550 nm is set for the finite difference time domain (FDTD) simulation of the structure. The response time and computational overhead required for the proposed OR gate is 0.128ps and 4.4MB is obtained. Also we calculated the extinction ratio for AND gate and NOT gate as 6.19 dB and 10.21 dB respectively.
References
E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Physical review letters, vol. 58, no. 20, p. 2059, 1987.
S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Physical review letters, vol. 58, no. 23, p. 2486, 1987.
Y. Pennec, J. O. Vasseur, B. Djafari-Rouhani, L. Dobrzy´nski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surface Science Reports, vol. 65, no. 8, pp. 229–291, 2010.
R. M. Younis, N. F. Areed, and S. S. Obayya, “Fully integrated and and or optical logic gates,” IEEE Photonics Technology Letters, vol. 26, no. 19, pp. 1900–1903, 2014.
M. Pirzadi, A. Mir, and D. Bodaghi, “Realization of ultra-accurate and compact all-optical photonic crystal or logic gate,” IEEE Photonics Technology Letters, vol. 28, no. 21, pp. 2387–2390, 2016.
E. H. Shaik and N. Rangaswamy, “Phase interference dependent single phc based logic gate structure with t-shaped waveguide as xor, not and or logic gates,” in 2017 Progress in Electromagnetics Research Symposium- Fall (PIERS-FALL). IEEE, 2017, pp. 210–214.
E. Y. Glushko and A. Zakhidov, “Theory of the nonlinear all-optical logical gates based on pbg structures,” in Proceedings of CAOL 2005. Second International Conference on Advanced Optoelectronics and Lasers, 2005., vol. 2. IEEE, 2005, pp. 184–190.
A. Glushko et al., “Nonlinear pbg structures for all-optical signal processing,” in 2006 International Workshop on Laser and Fiber-Optical Networks Modeling. IEEE, 2006, pp. 473–476.
K. Goudarzi, A. Mir, I. Chaharmahali, and D. Goudarzi, “All-optical xor and or logic gates based on line and point defects in 2-d photonic crystal,” Optics & Laser Technology, vol. 78, pp. 139–142, 2016.
S. Mitatha, S. Chaiyasoonthorn, and P. Juleang, “Optical asymmetric key cryptography in rofso for high security using ring resonator system,” in 2019 5th International Conference on Engineering, Applied Sciences and Technology (ICEAST). IEEE, 2019, pp. 1–4.
A. Macker, A. K. Shukla, and V. P. Dubey, “A novel design of all optical and gate based on 2-d photonic crystal,” in 2017 International Conference on Emerging Trends in Computing and Communication Technologies (ICETCCT). IEEE, 2017, pp. 1–3.
M. M. Gupta and S. Medhekar, “All-optical not and and gates using counter propagating beams in nonlinear mach–zehnder interferometer made of photonic crystal waveguides,” Optik, vol. 127, no. 3, pp. 1221-1228, 2016.
A. Rahmani and M. Asghari, “An ultra-compact and high speed all optical or/nor gate based on nonlinear phcrr,” Optik, vol. 138, pp. 314–319, 2017.
E. H. Shaik and N. Rangaswamy, “Realization of xnor logic function with all-optical high contrast xor and not gates,” Opto-Electronics Review, vol. 26, no. 1, pp. 63–72, 2018.
G. Joseph and V. Kalyani, “Study of quality factor of silicon based not logic gate using fdtd,” in 2014 International Conference on Computational
Intelligence and Communication Networks. IEEE, 2014, pp. 909–912.
E. H. Shaik and N. Rangaswamy, “Investigation on phc based t-shaped waveguide as all-optical xor, not, or and and logic gates,” in 2017 IEEE International Conference on Industrial and Information Systems (ICIIS). IEEE, 2017, pp. 1–6.
K. Bhadel and R. Mehra, “Design and simulation of 2-d photonic crystal based all-optical and logic gate,” in 2014 International Conference on
Computational Intelligence and Communication Networks. IEEE, 2014,
pp. 973–977.
H. Mondal, S. Chanda, M. Sen, and T. Datta, “All optical and gate based on silicon photonic crystal,” in 2015 International Conference on Microwave and Photonics (ICMAP). IEEE, 2015, pp. 1–2.
M. Pirzadi and A. Mir, “Ultra optimized y-defect waveguide for realizing reliable and robust all-optical logical and gate,” in 2015 23rd Iranian
Conference on Electrical Engineering. IEEE, 2015, pp. 1067–1071.
H. Mondal, S. Chanda, and P. Gogoi, “Realization of all-optical logic and gate using dual ring resonator,” in 2016 International Conference on
Automatic Control and Dynamic Optimization Techniques (ICACDOT).
IEEE, 2016, pp. 553–556.
B. Ghosh, R. R. Pal, and S. Mukhopadhyay, “A new approach to alloptical half-adder by utilizing semiconductor optical amplifier based mzi wavelength converter,” Optik, vol. 122, no. 20, pp. 1804–1807, 2011.
A. Kabilan, X. S. Christina, and P. E. Caroline, “Photonic crystal based all optical or and xo logic gates,” in 2010 Second International conference
on Computing, Communication and Networking Technologies. IEEE, 2010, pp. 1–4.
S. Dey, A. K. Shukla, and V. P. Dubey, “Design of all optical logical or gate based on 2-d photonic crystal,” in 2017 International Conference on Emerging Trends in Computing and Communication Technologies (ICETCCT). IEEE, 2017, pp. 1–3.
Y. Wan, M. Yun, L. Xia, and X. Zhao, “1 3 beam splitter based on self-collimation effect in two-dimensional photonic crystals,” Optik, vol. 122, no. 4, pp. 337–339, 2011.
E. haq Shaik and N. Rangaswamy, “High contrast all-optical xor gate with t-shaped photonic crystal waveguide using phase based interference,” in 2017 Fourteenth International Conference on Wireless and Optical Communications Networks (WOCN). IEEE, 2017, pp. 1–3.
A. Coelho Jr, M. Costa, A. Ferreira, M. Da Silva, M. Lyra, and A. Sombra, “Realization of all-optical logic gates in a triangular triplecore photonic crystal fiber,” Journal of lightwave technology, vol. 31, no. 5, pp. 731–739, 2013.
P. Rani, Y. Kalra, and R. Sinha, “Design of all optical logic gates in photonic crystal waveguides,” Optik, vol. 126, no. 9-10, pp. 950–955, 2015.
S. Combri´e, A. Martin, G. Moille, G. Lehoucq, A. De Rossi, J.-P. Reithmaier, L. Bramerie, and M. Gay, “An efficient all-optical gate based on photonic crystals cavities and applications,” in 2014 16th International Conference on Transparent Optical Networks (ICTON). IEEE, 2014, pp. 1–4.
L. E. P. Caballero, J. P. V. Cano, P. S. Guimar˜aes, and O. P. V. Neto, “Effect of structural disorder on photonic crystal logic gates,” IEEE Photonics Journal, vol. 9, no. 5, pp. 1–15, 2017.
P. Rani, Y. Kalra, and R. Sinha, “Realization of and gate in y shaped photonic crystal waveguide,” Optics Communications, vol. 298, pp. 227–
, 2013.
L. He, W. Zhang, and X. Zhang, “Topological all-optical logic gates based on two-dimensional photonic crystals,” Optics express, vol. 27,
no. 18, pp. 25 841–25 859, 2019.
A. Saharia, N. Mudgal, A. Agarwal, S. Sahu, S. Jain, A. K. Ghunawat, and G. Singh, “A comparative study of various all-optical logic gates,” in Optical and Wireless Technologies. Springer, 2020, pp. 429–437.
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