Abstract
This paper presents a novel design of a high-speed optical 2-to-4 decoder based on the photonic crystal (PhC) composed of silicon rods. The proposed structure consists of three inputs (one for enable and two for decoder inputs), three PhC X-shaped resonators, several waveguides, and four outputs. Each resonator includes silica rods covered by graphene shells. The plane-wave expansion (PWE) method is used to calculate the band structure of the fundamental PhC. The finite-difference time-domain (FDTD) method is applied to compute optical light’s transmission efficiency and electric field distribution inside the designed decoder. We demonstrate that the proposed decoder can operate in the third communication window, ranging from 1530 to 1565 nm. The numerical results reveal that the normalized transmission values less than 30% and greater than 50% are supposed to be logics 0 and 1, respectively. The decoder’s maximum delay and total footprint are 2.5 ps and 690 µm2, respectively. Thus, due to the decoder’s relatively simple and low-cost fabrication and its applications in photonics-based systems, the proposed device can be used in optical communications and networking.
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References
Alden Mostaan, S.M., Saghaei, H.: A tunable broadband graphene-based metamaterial absorber in the far-infrared region. Opt. Quantum Electron. 53(2), 96 (2021)
Alexoudi, T., Kanellos, G.T., Pleros, N.: Optical RAM and integrated optical memories: A survey. Light Sci. Appl. 9(1), 1–16 (2020)
Alipour-Banaei, H., Mehdizadeh, F., Serajmohammadi, S., Hassangholizadeh-Kashtiban, M.: A 2* 4 all optical decoder switch based on photonic crystal ring resonators. J. Mod. Opt. 62(6), 430–434 (2015)
Andalib, P., Granpayeh, N.: All-optical ultracompact photonic crystal AND gate based on nonlinear ring resonators. J. Opt. Soc. Am. B. 26(1), 10 (2009)
Askarian, A.: Design and analysis of all optical 2× 4 decoder based on kerr effect and beams interference procedure. Opt. Quantum Electron. 53(6), 1–17 (2021)
Brown, S., Vranesic, Z.: EBOOK: Fundamentals of Digital Logic. McGraw Hill (2008)
Chen, Z., Li, Z., Li, B.: A 2-to-4 decoder switch in SiGe/Si multimode inteference. Opt. Express. 14(7), 2671 (2006)
Daghooghi, T., Soroosh, M., Ansari-Asl, K.: Ultra-fast all-optical decoder based on nonlinear photonic crystal ring resonators. Appl. Opt. 57(9), 2250 (2018a)
Daghooghi, T., Soroosh, M., Ansari-Asl, K.: A low-power all optical decoder based on photonic crystal nonlinear ring resonators. Optik (Stuttg). 174, 400–408 (2018b)
Danaee, E., Geravand, A., Danaie, M.: Wide-band low cross-talk photonic crystal waveguide intersections using self-collimation phenomenon. Opt. Commun. 431, 216–228 (2019)
Danaie, M., Kaatuzian, H.: Bandwidth improvement for a Photonic Crystal Optical Y-splitter. J. Opt. Soc. Korea. 15(3), 283–288 (2011)
Danaie, M., Kaatuzian, H.: Design and simulation of an all-optical photonic crystal AND gate using nonlinear Kerr effect. Opt. Quantum Electron. 44(1), 27–34 (2012)
Deubel, M., von Freymann, G., Wegener, M., Pereira, S., Busch, K., Soukoulis, C.M.: Direct laser writing of three-dimensional photonic-crystal templates for telecommunications. Nat. Mater. 3(7), 444–447 (2004)
Fakouri-Farid, V., Andalib, A.: Design and simulation of an all optical photonic crystal-based comparator. Optik (Stuttg). 172, 241–248 (2018)
Foroughifar, A., Saghaei, H., Veisi, E.: Design and analysis of a novel four-channel optical filter using ring resonators and line defects in photonic crystal microstructure, Opt. Quantum Electron. 53(2), 101 (2021)
Fu, Y., Hu, X., Gong, Q.: Silicon photonic crystal all-optical logic gates. Phys. Lett. A. 377(3–4), 329–333 (2013)
Goswami, K., Mondal, H., Sen, M.: A review on all-optical logic adder: Heading towards next-generation processor. Opt. Commun. 483, 126668 (2021)
Goswami, K., Mondal, H., Sen, M., Sharma, A.: Design and Analysis of All-Optical Isolator Based on Linear Photonic Crystal, Brazilian Journal of Physics 52(3), (2022a)
Goswami, K., Mondal, H., Sen, M.: Optimized design of multiple bends for maximum power transfer in optical waveguide. Optik (Stuttg). 265, 169448 (2022b)
Goswami, K., Mondal, H., Sen, M.: Design and analysis of passive and phase insensitive all-optical isolator in linear optical platform. Opt. Commun. 529, 129071 (2023)
Hosseinzadeh Sani, M., Ghanbari, A., Saghaei, H.: An ultra-narrowband all-optical filter based on the resonant cavities in rod-based photonic crystal microstructure. Opt. Quantum Electron. 52(6), 295 (2020a)
Hosseinzadeh Sani, M., Saghaei, H., Mehranpour, M.A., Asgariyan Tabrizi, A.: A novel all-optical sensor design based on a tunable resonant nanocavity in photonic crystal microstructure applicable in MEMS accelerometers, Photonic Sensors (2020b)
Hussein, H.M.E., Ali, T.A., Rafat, N.H.: New designs of a complete set of photonic crystals logic gates. Opt. Commun. 411, 175–181 (2018)
Jile, H.: Realization of an all-optical comparator using beam interference inside photonic crystal waveguides. Appl. Opt. 59(12), 3714 (2020)
Kalantari, M., Karimkhani, A., Saghaei, H.: Ultra-Wide mid-IR supercontinuum generation in As2S3 photonic crystal fiber by rods filling technique. Optik (Stuttg). 158, 142–151 (2018)
Kaur, S., Kaler, R.S.: 5 GHz all-optical binary counter employing SOA-MZIs and an optical NOT gate. J. Opt. (United Kingdom). 16(3), 35201 (2014)
Koshiba, M.: Wavelength division multiplexing and demultiplexing with photonic crystal waveguide couplers. J. Lightwave Technol. 19(12), 1970–1975 (2001)
Kuramochi, E., Nozaki, K., Shinya, A., Takeda, K., Sato, T., Matsuo, S., Taniyama, H., Sumikura, H., Notomi, M.: Large-scale integration of wavelength-addressable all-optical memories on a photonic crystal chip. Nat. Photonics. 8(6), 474–481 (2014)
Lu, C., Hu, X., Yang, H., Gong, Q.: Chip-integrated ultrawide-band all-optical logic comparator in plasmonic circuits. Sci. Rep. 4(1), 1–8 (2014)
Mano, M.M., Kime, C.R.: Logic and Computer Design Fundamentals. Prentice-Hall, Inc. (1997)
Manzacca, G., Paciotti, D., Marchese, A., Moreolo, M.S., Cincotti, G.: 2D photonic crystal cavity-based WDM multiplexer. Photonics and Nanostructures-Fundamentals and Applications. 5(4), 164–170 (2007)
Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H.: Proposal for 4-to-2 optical encoder based on photonic crystals. IET Optoelectron. 11(1), 29–35 (2017a)
Mehdizadeh, F., Alipour-Banaei, H., Serajmohammadi, S.: Study the role of non-linear resonant cavities in photonic crystal-based decoder switches. J. Mod. Opt. 64(13), 1233–1239 (2017b)
Mokhtarbaf, A., Mosleh, M., Saghaei, H., Chekin, M.: Design and simulation of all-optical majority gates using fluid infiltration approach in photonic crystal slab. Opt. Quantum Electron. 55(3), 265 (2023)
Mondal, H., Sen, M., Prakash, C., Goswami, K., Sarma, C.K.: Impedance matching theory to design an all-optical AND gate. IET Optoelectron. 12(5), 244–248 (2018)
Mondal, H., Sen, M., Goswami, K.: Design and analysis of all-optical 1‐to‐2 line decoder based on linear photonic crystal. IET Optoelectron. 13(4), 191–195 (2019)
Mondal, H., Goswami, K., Sen, M., Khan, W.R.: Design and analysis of all-optical logic NOR gate based on linear optics. Opt. Quantum Electron. 54(5), 1–14 (2022)
Moniem, T.A.: All-optical digital 4 × 2 encoder based on 2D photonic crystal ring resonators. J. Mod. Opt. 63(8), 735–741 (2016)
Moradi, M., Danaie, M., Orouji, A.A.: Design and analysis of an optical full-adder based on nonlinear photonic crystal ring resonators. Optik (Stuttg). 172, 127–136 (2018)
Moradi, R.: All optical half subtractor using photonic crystal based nonlinear ring resonators. Opt. Quantum Electron. 51(4), 119 (2019)
Moradi, M., Danaie, M., Orouji, A.A.: Design of all-optical XOR and XNOR logic gates based on Fano resonance in plasmonic ring resonators. Opt. Quantum Electron. 51(5), 154 (2019)
Mukherjee, S., Maiti, R., Midya, A., Das, S., Ray, S.K.: Tunable direct bandgap optical transitions in MoS2 nanocrystals for photonic devices. ACS Photonics. 2(6), 760–768 (2015)
Naghizade, S., Khoshsima, H.: Low input power an all optical 4×2 encoder based on triangular lattice shape photonic crystal. J. Opt. Commun. 1, 1–8 (2018)
Naghizade, S., Saghaei, H.: Tunable graphene-on-insulator band-stop filter at the mid-infrared region. Opt. Quantum Electron. 52(4), 224 (2020a)
Naghizade, S., Saghaei, H.: A novel design of all-optical 4 to 2 encoder with multiple defects in silica-based photonic crystal fiber. Optik (Stuttg). 222, 165419 (2020b)
Naghizade, S., Saghaei, H.: A novel design of fast and compact all-optical full-adder using nonlinear resonant cavities. Opt. Quantum Electron. 53(5), 262 (2021a)
Naghizade, S., Saghaei, H.: Tunable electro-optic analog-to-digital converter using graphene nanoshells in photonic crystal ring resonators. J. Opt. Soc. Am. B. 38(7), 2127–2134 (2021b)
Naghizade, S., Saghaei, H.: A tunable electro-optic analog to digital converter using graphene nanoshells in photonic crystal resonators, JOSA B (2021c)
Naghizade, S., Saghaei, H.: A novel design of all-optical full-adder using nonlinear X-shaped photonic crystal resonators. Opt. Quantum Electron. 53(3), 1–13 (2021d)
Naghizade, S., Saghaei, H.: An ultra-fast optical analog-to-digital converter using nonlinear X-shaped photonic crystal ring resonators. Opt. Quantum Electron. 53(3), 1–16 (2021f)
Naghizade, S., Saghaei, H.: Ultra-fast tunable optoelectronic full-adder based on photonic crystal ring resonators covered by graphene nanoshells. Phys. E Low Dimens Syst Nanostruct. 142, 115293 (2022)
Naghizade, S., Didari-Bader, A., Saghaei, H.: Ultra-fast tunable optoelectronic 2-to-4 binary decoder using graphene-coated silica rods in photonic crystal ring resonators. Opt. Quantum Electron. 54(11), 767 (2022)
Parandin, F., Karkhanehchi, M.M., Naseri, M., Zahedi, A.: Design of a high bitrate optical decoder based on photonic crystals. J. Comput. Electron. 17(2), 830–836 (2018)
Poustie, A., Manning, R.J., Kelly, A.E., Blow, K.J.: “All-optical binary counter,“ Opt Express. 6(3), 69 (2000)
Prakash, C., Sen, M., Mondal, H., Goswami, K.: Design and optimization of a TE-pass polarization filter based on a slotted photonic crystal waveguide. JOSA B. 35(8), 1791–1798 (2018)
Raei, R., Ebnali-Heidari, M., Saghaei, H.: Supercontinuum generation in organic liquid–liquid core-cladding photonic crystal fiber in visible and near-infrared regions: Publisher’s note. J. Opt. Soc. Am. B. 35(7), 1545 (2018)
Rahman-Zadeh, F., Danaie, M., Kaatuzian, H.: Design of a highly sensitive photonic crystal refractive index sensor incorporating ring-shaped GaAs cavity. Opto-Electron. Rev. 27(4), 369–377 (2019)
Rani, P., Kalra, Y., Sinha, R.K.: Design of all optical logic gates in photonic crystal waveguides. Optik (Stuttg). 126(9–10), 950–955 (2015)
Rostamizadeh, A., Taghizadeh, M., Jamali, J., Andalib, A.: Application of photonic crystal based nonlinear ring resonators for realizing all optical 3-to-8 decoder. J. Opt. Commun. 52(2), 1–10 (2020)
Saghaei, H., Heidari, V., Ebnali-Heidari, M., Yazdani, M.R.: A systematic study of linear and nonlinear properties of photonic crystal fibers. Optik (Stuttg). 127(24), 11938–11947 (2016a)
Saghaei, H., Moravvej-Farshi, M.K., Ebnali-Heidari, M., Moghadasi, M.N.: Ultra-Wide Mid-Infrared Supercontinuum Generation in As40Se60 Chalcogenide Fibers: Solid Core PCF Versus SIF, IEEE Journal of Selected Topics in Quantum Electronics 22(2), (2016b)
Saghaei, H.: Supercontinuum source for dense wavelength division multiplexing in square photonic crystal fiber via fluidic infiltration approach. Radioengineering. 26(1), 16–22 (2017)
Saghaei, H.: Dispersion-engineered microstructured optical fiber for mid-infrared supercontinuum generation. Appl. Opt. 57(20), 5591 (2018)
Saghaei, H., Van, V.: Broadband mid-infrared supercontinuum generation in dispersion-engineered silicon-on-insulator waveguide. J. Opt. Soc. Am. B. 36(2), A193 (2019)
Saghaei, H., Elyasi, P., Karimzadeh, R.: Design, fabrication, and characterization of Mach–Zehnder interferometers, Photonics Nanostruct 37, (2019)
Saghaei, H., Elyasi, P., Shastri, B.J.: Sinusoidal and rectangular Bragg grating filters: Design, fabrication, and comparative analysis. J. Appl. Phys. 132(6), 064501 (2022)
saleh Naghizade, Saghaei, H.: Ultra-fast tunable optoelectronic half adder/subtractor based on photonic crystal ring resonators covered by graphene nanoshells. Opt. Quantum Electron. 53(7), 380 (2021e)
Sani, M.H., Ghanbari, A., Saghaei, H.: An ultranarrowband alloptical filter based on the resonant cavities in rodbased photonic crystal microstructure. Opt. Quantum Electron. 52, 295 (2020)
Sani, M.H., Ghanbari, A., Saghaei, H.: High-sensitivity biosensor for simultaneous detection of cancer and diabetes using photonic crystal microstructure. Opt. Quantum Electron. 54(1), 2 (2021)
Sharma, A., Goswami, K., Mondal, H., Datta, T., Sen, M.: A review on photonic crystal based all-optical logic decoder: Linear and nonlinear perspectives. Opt. Quantum Electron. 54(2), 1–24 (2022)
Singh, P., Tripathi, D.K., Jaiswal, S., Dixit, H.K.: All-optical logic gates: designs, classification, and comparison, Advances in Optical Technologies (2014). (2014)
Sinha, R.K., Rawal, S.: Modeling and design of 2D photonic crystal based Y type dual band wavelength demultiplexer. Opt. Quantum Electron. 40(9), 603–613 (2008)
Tavakoli, F., Zarrabi, F.B., Saghaei, H.: Modeling and analysis of high-sensitivity refractive index sensors based on plasmonic absorbers with Fano response in the near-infrared spectral region, Appl Opt 58(20), (2019a)
Tavakoli, F., Zarrabi, F.B., Saghaei, H.: Modeling and analysis of high-sensitivity refractive index sensors based on plasmonic absorbers with Fano response in the near-infrared spectral region. Appl. Opt. 58(20), 5404–5414 (2019b)
Trigona, C., Ando, B., Baglio, S.: Design, fabrication, and characterization of BESOI-accelerometer exploiting photonic bandgap materials. IEEE Trans. Instrum. Meas. 63(3), 702–710 (2014)
Uda, T., Ishii, A., Kato, Y.K.: Single Carbon Nanotubes as Ultrasmall All-Optical Memories. ACS Photonics. 5(2), 559–565 (2018)
Yablonovitch, E., Gmitter, T.J., Leung, K.M.: Photonic band structure: The face-centered-cubic case employing nonspherical atoms. Phys. Rev. Lett. 67(17), 2295–2298 (1991)
Yablonovitch, E.: Photonic crystals. J. Mod. Opt. 41(2), 173–194 (1994)
Younis, R.M., Areed, N.F.F., Obayya, S.S.A.: Fully integrated and and or optical logic gates. IEEE Photonics Technol. Lett. 26(19), 1900–1903 (2014)
Zamani, M.: Photonic crystal-based optical filters for operating in second and third optical fiber windows. Superlattices Microstruct. 92, 157–165 (2016)
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Nayyeri Raad, A., Saghaei, H. & Mehrabani, Y.S. An optical 2-to-4 decoder based on photonic crystal X-shaped resonators covered by graphene shells. Opt Quant Electron 55, 452 (2023). https://doi.org/10.1007/s11082-023-04727-7
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DOI: https://doi.org/10.1007/s11082-023-04727-7