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Application of nonlinear photonic crystal ring resonators in realizing all optical OR/NOT/AND gates

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Abstract

Arithmetic logic unit (ALU) is the core of any digital processing systems. For creating an all optical ALU one needs basic logic gates such as optical NOT, OR and AND gates along with an optical full adder and optical multiplexer. In this paper we aim to design and propose these three basic logic gates using nonlinear photonic crystal ring resonators. The simulations will be done using plane wave expansion and finite difference time domain methods. The proposed structures work based on controlling the optical behavior of the nonlinear resonators using optical power. The simulation results show that the switching threshold for this resonant ring is about 15 mW/μm2. Reduced delay times and switching optical power are the main advantages of the proposed structures. Also by adding two resonant rings in input ports we reduced the cross reflection between the input ports.

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References

  • Abolhaasani-Kaleibar, A., Andalib, A.: Studying photonics crystal cavities by design and simulation of a 1 to 8 optical demultiplexer. Frequenz 72, 8–13 (2018)

    Article  Google Scholar 

  • Alipour-Banaei, H., Rabati, M.G., Abdollahzadeh-Badelbou, P., Mehdizadeh, F.: Effect of self-collimated beams on the operation of photonic crystal decoders. J. Electromagn. Waves Appl. 30, 1440–1448 (2016)

    Article  Google Scholar 

  • Andalib, A.: A novel proposal for all-optical Galois field adder based on photonic crystals. Photonic Netw. Commun. 35, 392–396 (2018)

    Article  Google Scholar 

  • Andalib, P., Granpayeh, N.: All-optical ultracompact photonic crystal AND gate based on nonlinear ring resonators. J. Opt. Soc. Am. B 26, 10–16 (2008)

    Article  ADS  Google Scholar 

  • Cheraghi, F., Soroosh, M., Akbarizadeh, G.: An ultra-compact all optical full adder based on nonlinear photonic crystal resonant cavities. Superlattices Microstruct. 113, 359–365 (2017)

    Article  ADS  Google Scholar 

  • Christina, X.S., Kabilan, A.P.: Design of optical logic gates using self-collimated beams in 2D photonic crystal. Photonic Sens. 2, 173–179 (2012)

    Article  ADS  Google Scholar 

  • Daghooghi, T., Soroosh, M., Ansari-Asl, K.: A novel proposal for all-optical decoder based on photonic crystals. Photonic Netw. Commun. 35, 335–341 (2017)

    Article  Google Scholar 

  • Dideban, A., Habibiyan, H., Ghafoorifard, H.: Photonic crystal channel drop filter based on ring-shaped defects for DWDM systems. Phys. E Low Dimens. Syst. Nanostruct. 87, 77–83 (2017)

    Article  ADS  Google Scholar 

  • Fakouri-Farid, V., Andalib, A.: Design and simulation of an all optical photonic crystal-based comparator. Optik (Stuttg) 172, 241–248 (2018)

    Article  ADS  Google Scholar 

  • Fasihi, K.: All-optical analog-to-digital converters based on cascaded 3-dB power splitters in 2D photonic crystals. Opt. Int. J. Light Electron Opt. 125, 6520–6523 (2014)

    Article  Google Scholar 

  • Ghadrdan, M., Mansouri-Birjandi, M.A.: Concurrent implementation of all-optical half-adder and AND & XOR logic gates based on nonlinear photonic crystal. Opt. Quantum Electron. 45, 1027–1036 (2013)

    Article  Google Scholar 

  • Gholamnejad, S., Zavvari, M.: Design and analysis of all-optical 4–2 binary encoder based on photonic crystal. Opt. Quantum Electron. 49, 302 (2017)

    Article  Google Scholar 

  • Hassangholizadeh-Kashtiban, M., Sabbaghi-Nadooshan, R., Alipour-Banaei, H.: A novel all optical reversible 4 × 2 encoder based on photonic crystals. Opt. Int. J. Light Electron Opt. 126, 2368–2372 (2015)

    Article  Google Scholar 

  • Isfahani, B.M., Tameh, T.A., Granpayeh, N., Javan, A.R.M.: All-optical NOR gate based on nonlinear photonic crystal microring resonators. J. Opt. Soc. Am. B 26, 1097–1102 (2009)

    Article  ADS  Google Scholar 

  • Jiang, Y.-C., Liu, S.-B., Zhang, H.-F., Kong, X.-K.: Realization of all optical half-adder based on self-collimated beams by two-dimensional photonic crystals. Opt. Commun. 348, 90–94 (2015)

    Article  ADS  Google Scholar 

  • John, S.: Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486–2489 (1987)

    Article  ADS  Google Scholar 

  • Johnson, S., Joannopoulos, J.: Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis. Opt. Express 8, 173–190 (2001)

    Article  ADS  Google Scholar 

  • Kannaiyan, V., Savarimuthu, R., Dhamodharan, S.K.: Investigation of 2D-photonic crystal resonant cavity based WDM demultiplexer. Opto Electron. Rev. 26, 108–115 (2018)

    Article  Google Scholar 

  • Karkhanehchi, M.M., Parandin, F., Zahedi, A.: Design of an all optical half-adder based on 2D photonic crystals. Photonic Netw. Commun. 31, 1–7 (2016)

    Article  Google Scholar 

  • Kaur, S.: All optical data comparator and decoder using SOA-based Mach-Zehnder interferometer. Opt. Int. J. Light Electron Opt. 124, 2650–2653 (2013)

    Article  Google Scholar 

  • Kumar, A., Gupta, M.M., Medhekar, S.: All-optical NOT and AND gates based on 2D nonlinear photonic crystal ring resonant cavity. Optik (Stuttg) 167, 164–169 (2018)

    Article  ADS  Google Scholar 

  • Mansouri-Birjandi, M.A., Tavousi, A., Ghadrdan, M.: Full-optical tunable add/drop filter based on nonlinear photonic crystal ring resonators. Photonics Nanostruct. Fundam. Appl. 21, 44–51 (2016)

    Article  ADS  Google Scholar 

  • Martinez, J.M., Herrera, J., Ramos, F., Marti, J.: All-optical address recognition scheme for label-swapping networks. IEEE Photonics Technol. Lett. 18, 151–153 (2006)

    Article  ADS  Google Scholar 

  • Massoudi, R., Najjar, M., Mehdizadeh, F., Janyani, V.: Investigation of resonant mode sensitivity in PhC based ring resonators. Opt. Quantum Electron. 51, 87 (2019)

    Article  Google Scholar 

  • Mehdizadeh, F., Soroosh, M.: Designing of all optical NOR gate based on photonic crystal. Indian J. Pure Appl. Phys. 54, 35–39 (2016)

    Google Scholar 

  • Mehdizadeh, F., Alipour-banaei, H., Serajmohammadi, S.: Study the role of non-linear resonant cavities in photonic crystal-based decoder switches. J. Mod. Opt. 0340, 0 (2017a)

    MathSciNet  Google Scholar 

  • Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H.: Proposal for 4-to-2 optical encoder based on photonic crystals. IET Optoelectron. 11, 29–35 (2017b)

    Article  Google Scholar 

  • Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H., Farshidi, E.: A novel proposal for all optical analog-to-digital converter based on photonic crystal structures. IEEE Photonics J. 9, 1–11 (2017c)

    Article  Google Scholar 

  • Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H., Farshidi, E.: Ultra-fast analog-to-digital converter based on a nonlinear triplexer and an optical coder with a photonic crystal structure. Appl. Opt. 56, 1799–1806 (2017d)

    Article  ADS  Google Scholar 

  • Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H., Farshidi, E.: All optical 2-bit analog to digital converter using photonic crystal based cavities. Opt. Quantum Electron. 49, 38 (2017e)

    Article  Google Scholar 

  • Mehdizadeh, F., Alipour-Banaei, H., Serajmohammadi, S.: Design and simulation of all optical decoder based on nonlinear PhCRRs. Opt. Int. J. Light Electron Opt. 156, 701–706 (2018)

    Article  Google Scholar 

  • Mohebbi, Z., Nozhat, N., Emami, F.: High contrast all-optical logic gates based on 2D nonlinear photonic crystal. Opt. Commun. 355, 130–136 (2015)

    Article  ADS  Google Scholar 

  • Moniem, T.A.: All optical active high decoder using integrated 2D square lattice photonic crystals. J. Mod. Opt. 62, 1643–1649 (2015)

    Article  ADS  Google Scholar 

  • Moniem, T.A.: All-optical digital 4 × 2 encoder based on 2D photonic crystal ring resonators. J. Mod. Opt. 63, 735–741 (2016)

    Article  ADS  Google Scholar 

  • Moniem, T.A.: All-optical XNOR gate based on 2D photonic-crystal ring resonators. Quantum Electron. 47, 169 (2017)

    Article  ADS  Google Scholar 

  • Parandin, F., Karkhanehchi, M.M.: Terahertz all-optical NOR and AND logic gates based on 2D photonic crystals. Superlattices Microstruct. 101, 253–260 (2016)

    Article  ADS  Google Scholar 

  • Parandin, F., Malmir, M.-R., Naseri, M.: All-optical half-subtractor with low-time delay based on two-dimensional photonic crystals. Superlattices Microstruct. 109, 437–441 (2017)

    Article  ADS  Google Scholar 

  • Rahmani, A., Mehdizadeh, F.: Application of nonlinear PhCRRs in realizing all optical half-adder. Opt. Quantum Electron. 50, 30 (2017)

    Article  Google Scholar 

  • Rani, P., Kalra, Y., Sinha, R.K.: Design of all optical logic gates in photonic crystal waveguides. Opt. Int. J. Light Electron Opt. 126, 950–955 (2015)

    Article  Google Scholar 

  • Rani, P., Kalra, Y., Sinha, R.K.: Design and analysis of polarization independent all-optical logic gates in silicon-on-insulator photonic crystal. Opt. Commun. 374, 148–155 (2016)

    Article  ADS  Google Scholar 

  • Saidani, N., Belhadj, W., AbdelMalek, F.: Novel all-optical logic gates based photonic crystal waveguide using self imaging phenomena. Opt. Quantum Electron. 47, 1829–1846 (2014)

    Article  Google Scholar 

  • Salimzadeh, A., Alipour-Banaei, H.: An all optical 8 to 3 encoder based on photonic crystal OR-gate ring resonators. Opt. Commun. 410, 793–798 (2018)

    Article  ADS  Google Scholar 

  • Salmanpour, A., Mohammadnejad, S., Omran, P.T.: All-optical photonic crystal NOT and OR logic gates using nonlinear Kerr effect and ring resonators. Opt. Quantum Electron. 47, 3689–3703 (2015)

    Article  Google Scholar 

  • Serajmohammadi, S.: All-optical NAND gate based on nonlinear photonic crystal ring resonators. J. Opt. Commun. 37, 115–119 (2016)

    Article  Google Scholar 

  • Serajmohammadi, S., Alipour-Banaei, H., Mehdizadeh, F.: Proposal for realizing an all-optical half adder based on photonic crystals. Appl. Opt. 57, 1617–1621 (2018)

    Article  ADS  Google Scholar 

  • Serajmohammadi, S., Alipour-Banaei, H., Mehdizadeh, F.: Application of photonic crystal ring resonators for realizing all optical demultiplexers. Frequenz 72, 465–470 (2019)

    Article  ADS  Google Scholar 

  • Serajmohammadi, S., Alipour-Banaei, H., Mehdizadeh, F.: A novel proposal for all optical 1-bit comparator using nonlinear PhCRRs. Photonics Nanostruct. Fundam. Appl. 34, 19–23 (2019)

    Article  ADS  Google Scholar 

  • Sharifi, H., Hamidi, S.M., Navi, K.: A new design procedure for all-optical photonic crystal logic gates and functions based on threshold logic. Opt. Commun. 370, 231–238 (2016)

    Article  ADS  Google Scholar 

  • Sharifi, H., Hamidi, S.M., Navi, K.: All-optical photonic crystal logic gates using nonlinear directional coupler. Photonics Nanostruct. Fundam. Appl. 27, 55–63 (2017)

    Article  ADS  Google Scholar 

  • Soto, H., Díaz, C.A., Topomondzo, J., Erasme, D., Schares, L., Guekos, G.: All-optical AND gate implementation using cross-polarization modulation in a semiconductor optical amplifier. IEEE Photonics Technol. Lett. 14, 498–500 (2002)

    Article  ADS  Google Scholar 

  • Taflove, A.: Computational Electrodynamics: The Finite-Difference Time-Domain Method. Artech House, Norwood (1995)

    MATH  Google Scholar 

  • Tavousi, A., Mansouri-Birjandi, M.A., Ghadrdan, M., Ranjbar-Torkamani, M.: Application of photonic crystal ring resonator nonlinear response for full-optical tunable add–drop filtering. Photonic Netw. Commun. 34, 131–139 (2017)

    Article  Google Scholar 

  • Wang, Y., Wang, H., Xue, Q., Zheng, W.: Photonic crystal self-collimation sensor. Opt. Express 20, 12111–12118 (2012)

    Article  ADS  Google Scholar 

  • Xia, T.J., Liang, Y., Ahn, K.H., Lou, J.W., Boyraz, O., Kao, Y.H., Cao, X.D., Chaikamnerd, S., Andersen, J.K., Islam, M.N.: All-optical packet-drop demonstration using 100-Gb/s words by integrating fiber-based components. IEEE Photonics Technol. Lett. 10, 153–155 (1998)

    Article  ADS  Google Scholar 

  • Yablonovitch, E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987)

    Article  ADS  Google Scholar 

  • Yang, Y.-P., Lin, K.-C., Yang, I.-C., Lee, K.-Y., Lee, W.-Y., Tsai, Y.-T.: All-optical photonic-crystal encoder capable of operating at multiple wavelengths. Opt. Int. J. Light Electron Opt. 142, 354–359 (2017)

    Article  Google Scholar 

  • Zabelin, V., Dunbar, L.A., Le Thomas, N., Houdré, R., Kotlyar, M.V., O’Faolain, L., Krauss, T.F.: Self-collimating photonic crystal polarization beam splitter. Opt. Lett. 32, 530–532 (2007)

    Article  ADS  Google Scholar 

  • Zhang, Y., Zhang, Y., Li, B.: Optical switches and logic gates based on self-collimated beams in two-dimensional photonic crystals. Opt. Express 15, 9287–9292 (2007)

    Article  ADS  Google Scholar 

  • Zhao, T., Asghari, M., Mehdizadeh, F.: An all-optical digital 2-to-1 multiplexer using photonic crystal-based nonlinear ring resonators. J. Electron. Mater. 48, 1–5 (2019)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, Arak Branch, Islamic Azad University, Arak, Iran

    Mohammad Reza Geraili & Mohammad Bagher Tavakoli

  2. Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

    Seyed Ebrahim Hosseini & Mehrdad Shokooh-Saremi

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  1. Mohammad Reza Geraili
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  2. Seyed Ebrahim Hosseini
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  3. Mohammad Bagher Tavakoli
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  4. Mehrdad Shokooh-Saremi
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Correspondence to Mohammad Reza Geraili.

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Geraili, M.R., Hosseini, S.E., Tavakoli, M.B. et al. Application of nonlinear photonic crystal ring resonators in realizing all optical OR/NOT/AND gates. Opt Quant Electron 51, 228 (2019). https://doi.org/10.1007/s11082-019-1914-9

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