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Design of a Compact Polarization-Independent All-Optical and Logic Gate Based on Silicon Photonic Crystal

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Abstract

Before introducing the construction of AND logic gate, this article initially uses a two-dimensional photonic crystal lattice to optimize an all-optical AND logic gate. It is polarization independent and operates in both Transverse Electric (TE) and Transverse Magnetic (TM) polarizations with optimal output power and contrast ratio preservation. The structure relies on the interference effect in photonic crystals and its mechanism. The interference effect mechanism significantly reduces the power consumption requirement compared to the other two techniques. The finite-difference time-domain (FDTD) and plane-wave expansion methods are applied. The benefits of such a design include ease of construction, compatibility with integrated optical circuits, small volume, optimal output power, optimized contrast ratio, and appropriate performance in both TE and TM polarizations. These benefits are attributable to the utilization of air holes in the Silicon substrate. The normalized output powers in TM and TE polarizations are equal to 0.94 and 1.63, respectively, and the contrast ratio in such a structure is around 6 dB for both polarizations. The construction has a total area of roughly 83 \({\mu \mathrm{m}}^{2}\).

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References

  1. Mohebzadeh-Bahabady A, Olyaee S (2021) Proposal of a cascade photonic crystal XOR logic gate for optical integrated circuits with investigation of fabrication error and optical power changes. Photonics 8(9):392. https://doi.org/10.3390/photonics8090392

    Article  CAS  Google Scholar 

  2. Leiserson CE, Thompson NC, Emer JS, Kuszmaul BC, Lampson BW, Sanchez D, Schardl TB (2020) There’s plenty of room at the Top: What will drive computer performance after Moore’s law? Science, 368(6495). https://doi.org/10.1126/science.aam9744

  3. Yang H, Khayrudinov V, Dhaka V, Jiang H, Autere A, Lipsanen H, Sun Z, Jussila H (2018) Nanowire network–based multifunctional all-optical logic gates. Sci Adv 4(7). https://doi.org/10.1126/sciadv.aar7954

  4. Goswami K, Mondal H, Sen M (2021) A review on all-optical logic adder: Heading towards next-generation processor. Optics Commun, 483, 126668. https://doi.org/10.1016/j.optcom.2020.126668

  5. Salmanpour A, Mohammadnejad S, Bahrami A (2014) Photonic crystal logic gates: an overview. Opt Quant Electron 47(7):2249–2275. https://doi.org/10.1007/s11082-014-0102-1

    Article  Google Scholar 

  6. Naghizade, S., & Saghaei, H (2021) A novel design of all-optical full-adder using nonlinear X-shaped photonic crystal resonators. Optic Quantum Electron. https://doi.org/10.21203/rs.3.rs-215501/v1

  7. Younis RM, Areed NFF, Obayya SSA (2014) Fully integrated AND and OR optical logic gates. IEEE Photonics Technol Lett 26(19):1900–1903. https://doi.org/10.1109/lpt.2014.2340435

    Article  Google Scholar 

  8. Xavier SC, Carolin BE, Kabilan AP, Johnson W (2016) Compact photonic crystal integrated circuit for all-optical logic operation. IET Optoelectron 10(4):142–147. https://doi.org/10.1049/iet-opt.2015.0072

    Article  Google Scholar 

  9. Muthu KE, Jannath Ul Firthouse V, Deepa SS, Raja AS, Robinson S (2019) Design and analysis of 3-input NAND/NOR/XNOR gate based on 2D photonic crystals. J Optic Commun 43(2), 181–189. https://doi.org/10.1515/joc-2018-0210

  10. Caballero LP, Povinelli ML, Ramirez JC, Guimarães PSS, Vilela Neto OP (2022) Photonic crystal integrated logic gates and circuits. Opt Express 30(2):1976. https://doi.org/10.1364/oe.444714

    Article  CAS  PubMed  Google Scholar 

  11. Prakash C, Sen M, Mondal H, Goswami K (2018) Design and optimization of a TE-pass polarization filter based on a slotted photonic crystal waveguide. J Optic Soc Am B 35(8):1791. https://doi.org/10.1364/josab.35.001791

    Article  CAS  Google Scholar 

  12. Diaz-Valencia B, Calero J (2014) Photonic band gaps of a two-dimensional square lattice composed by superconducting hollow rods. Physica C: Superconductiv Appl 505:74–79. https://doi.org/10.1016/j.physc.2014.07.012

    Article  CAS  Google Scholar 

  13. Sharma A, Goswami K, Mondal H, Datta T, Sen M (2022) A review on photonic crystal based all-optical logic decoder: linear and nonlinear perspectives. Optic Quantum Electron 54(2). https://doi.org/10.1007/s11082-021-03473-y

  14. Goswami K, Mondal H, Sen M (2022) Optimized design of multiple bends for maximum power transfer in optical waveguide. Optik 265, 169448. https://doi.org/10.1016/j.ijleo.2022.169448

  15. Joannopoulos JD, Villeneuve PR, Fan S (1997) Photonic crystals: putting a new twist on light. Nature 386(6621):143–149. https://doi.org/10.1038/386143a0

    Article  CAS  Google Scholar 

  16. Mondal H, Sen M, Goswami K (2019) Design and analysis of a 0.9 Tb/s six-channel WDM filter based on photonic crystal waveguides. J Optic Soc Am B 36(11):3181. https://doi.org/10.1364/josab.36.003181

  17. Mondal H, Chanda S, Sen M, Datta (2015) All optical AND gate based on silicon photonic crystal. 2015 International Conference on Microwave and Photonics (ICMAP). https://doi.org/10.1109/icmap.2015.7408744

  18. Yang YP, Lin KC, Yang IC, Lee KY, Lin YJ, Lee WY, Tsai YT (2013) All-optical photonic crystal AND gate with multiple operating wavelengths. Optics Communications 297:165–168. https://doi.org/10.1016/j.optcom.2013.01.035

    Article  CAS  Google Scholar 

  19. Danaie M, Kaatuzian H (2011) Design and simulation of an all-optical photonic crystal AND gate using nonlinear Kerr effect. Opt Quant Electron 44(1–2):27–34. https://doi.org/10.1007/s11082-011-9527-y

    Article  CAS  Google Scholar 

  20. D’souza NM, Mathew V (2016) Interference based square lattice photonic crystal logic gates working with different wavelengths. Optics Laser Technol 80, 214–219. https://doi.org/10.1016/j.optlastec.2016.01.014.

  21. Rani P, Kalra Y, Sinha R (2015) Design of all optical logic gates in photonic crystal waveguides. Optik 126(9–10):950–955. https://doi.org/10.1016/j.ijleo.2015.03.003

    Article  CAS  Google Scholar 

  22. Shaik E, Rangaswamy N (2018) Realization of XNOR logic function with all-optical high contrast XOR and NOT gates. Opto-Electron Rev 26(1):63–72. https://doi.org/10.1016/j.opelre.2018.01.003

    Article  Google Scholar 

  23. Seifouri M, Olyaee S, Sardari M, Mohebzadeh-Bahabady A (2019) Ultra-fast and compact all-optical half adder using 2D photonic crystals. IET Optoelectron 13(3):139–143. https://doi.org/10.1049/iet-opt.2018.5130

    Article  Google Scholar 

  24. Mondal H, Sen M, Goswami K (2019) Design and analysis of all-optical 1-to-2 line decoder based on linear photonic crystal. IET Optoelectron 13(4):191–195. https://doi.org/10.1049/iet-opt.2018.5099

    Article  Google Scholar 

  25. Mohebzadeh-Bahabady A, Olyaee S (2020) Investigation of response time of small footprint photonic crystal AND logic gate. Optoelectron Lett 16(6):477–480. https://doi.org/10.1007/s11801-020-0056-4

    Article  Google Scholar 

  26. Kumar A, Medhekar S (2020) All optical NOR and NAND gates using four circular cavities created in 2D nonlinear photonic crystal. Optics Laser Technol 123, 105910. https://doi.org/10.1016/j.optlastec.2019.105910

  27. Rao DGS, Swarnakar S, Palacharla V, Raju KSR, Kumar S (2020) Design of all-optical AND, OR, and XOR logic gates using photonic crystals for switching applications. Photon Netw Commun 41(1):109–118. https://doi.org/10.1007/s11107-020-00916-6

    Article  Google Scholar 

  28. Mondal H, Goswami K, Sen M, Khan WR (2022) Design and analysis of all-optical logic NOR gate based on linear optics. Optic Quantum Electron 54(5). https://doi.org/10.1007/s11082-022-03624-9

  29. Veisi E, Seifouri M, Olyaee S (2022) Design and numerical analysis of multifunctional photonic crystal logic gates. Optics Laser Technol 151, 108068. https://doi.org/10.1016/j.optlastec.2022.108068

  30. Goswami K, Mondal H, Sen M, Sharma A (2022) Design and analysis of all-optical isolator based on linear photonic crystal. Braz J Physics, 52(3). https://doi.org/10.1007/s13538-022-01086-8

  31. Goswami K, Mondal H, Sen M (2023) Design and analysis of passive and phase insensitive all-optical isolator in linear optical platform. Optics Commun 529, 129071. https://doi.org/10.1016/j.optcom.2022.129071

  32. Parandin F, Malmir MR, Naseri M, Zahedi A (2018) Reconfigurable all-optical NOT, XOR, and NOR logic gates based on two dimensional photonic crystals. Superlattices Microstruct 113:737–744. https://doi.org/10.1016/j.spmi.2017.12.005

    Article  CAS  Google Scholar 

  33. Parandin F, Kamarian R, Jomour M, Lalbakhsh A, Alibakhshikenari M (2021) 3.33Tb/s All-optical and logic gate based on two-dimensional photonic crystals. 2021 Photonics &Amp; Electromagnetics Research Symposium (PIERS). https://doi.org/10.1109/piers53385.2021.9694950

  34. Mondal H, Sen M, Prakash C, Goswami K, Sarma CK (2018) Impedance matching theory to design an all-optical AND gate. IET Optoelectron 12(5):244–248. https://doi.org/10.1049/iet-opt.2018.0020

    Article  Google Scholar 

  35. Mondal H, Chanda S, Gogoi P (2016) Realization of all-optical logic AND gate using dual ring resonator. 2016 International Conference on Automatic Control and Dynamic Optimization Techniques (ICACDOT). https://doi.org/10.1109/icacdot.2016.7877646

  36. Goswami K, Mondal H, Das P, Thakuria A (2021) Realization of ultra-compact all-optical logic and gate based on photonic crystal waveguide. Adv Commun Dev Netw 61–68. https://doi.org/10.1007/978-981-16-2911-2_7

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Acknowledgements

This work was supported by the Nano-photonics and Optoelectronics Research Laboratory (NORLab), Shahid Rajaee Teacher Training University.

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Azadeh Ahmadi and Arefe Ehyaee: designed and preformed simulations, analyzed data, and wrote the manuscript, Ehsan Veisi: contributed data, Mahmood Seifouri: reviewed and edited, Saeed Olyaee: supervised, edited, and prepared the final draft of the manuscript.

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Correspondence to Saeed Olyaee.

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Ahmadi, A., Veisi, E., Ehyaee, A. et al. Design of a Compact Polarization-Independent All-Optical and Logic Gate Based on Silicon Photonic Crystal. Silicon 15, 4109–4118 (2023). https://doi.org/10.1007/s12633-023-02334-5

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