Abstract
Silicon (Si) waveguide crossing serves as an enabling technology for dense Si photonic integrated circuits. Efficient crossing designs significantly boost the performance of photonic devices with many crossings. In this paper, several fundamental optical logic functions, such as XOR, AND, OR, NOT, NOR, NAND, and XNOR, are reported at 1550 nm telecom wavelength using direct Si waveguide crossing. The proposed scheme is made up of three input waveguides and one output waveguide arranged in the shape of the symbol ' + ' with a microring resonator in the middle. The operation of the specified logic functions depends on the constructive and destructive interferences generated by the phase differences between the incident optical beams. Using the contrast ratio and amplitude modulation metrics, the performance of the target logic operations is evaluated. Additionally, it is investigated and assessed how much the critical operating parameters affect the spectrum transmission. The proposed waveguide-based scheme can achieve better performance compared to other reported designs of similar nature, according to simulation outcomes derived using Lumerical FDTD.
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References
Alali, M.J., Raheema, M.N., Alwahib, A.A.: Nanoscale plasmonic logic gates design by using an elliptical resonator. App. Opt. 62, 4080–4088 (2023)
Al-Musawi, H.K., Al-Janabi, A.K., Al-Abassi, S.A.W., Abusiba, N.A.A., Al-Fatlawi, N.A.Q.: Plasmonic logic gates based on dielectric-metal-dielectric design with two optical communication bands. Optik 223, 165416 (2020)
Andalib, P., Granpayeh, N.: All-optical ultracompact photonic crystal AND gate based on nonlinear ring resonators. J. Opt. Soc. Am. B 26, 10–16 (2009)
Bian, Y., Gong, Q.: Compact all-optical interferometric logic gates based on one-dimensional metal-insulator-metal structures. Opt. Commun. 313, 27–35 (2014)
Bogaerts, W., Dumon, P., Thourhout, D.V., Baets, R.: Low-loss, low-cross-talk crossings for silicon-on-insulator nanophotonic waveguides. Opt. Lett. 32, 2801–2803 (2007)
Brunetti, G., Marocco, G., Benedetto1, A.D., Giorgio, A., Armenise, M.N., Ciminelli, C.: Design of a large bandwidth 2×2 interferometric switching cell based on a sub-wavelength grating. J. Opt. 23, 085801 (2021).
Chang, W., Lu, L., Ren, X., Lu, L., Cheng, M., Liu, D., Zhang, M.: An ultracompact multimode waveguide crossing based on subwavelength asymmetric Y-junction. IEEE Photon. J. 10, 1–8 (2018)
Chang, K.H., Lin, Z.H., Lee, P.T., et al.: Enhancing on/off ratio of a dielectric-loaded plasmonic logic gate with an amplitude modulator. Sci. Rep. 13, 5020 (2023)
Choure, K.K., Saharia, A., Mudgal, N., Pandey, R., Agarwal, A., Prajapat, M., Maddila, R., Tiwari, M., Singh, G.: Reconfigurable and compact reversible channel multiplexers using Si3N4 based optical microring resonator. Opt. Commun. 530, 129126 (2023)
Cui, L., Yu, L.: Multifunctional logic gates based on silicon hybrid plasmonic waveguides. Mod. Phys. Lett. B 32, 1850008 (2018)
Dimitriadou, E., Zoiros, K.E.: On the design of reconfigurable ultrafast all-optical NOR and NAND gates using a single quantum-dot semiconductor optical amplifier-based Mach-Zehnder interferometer. J. Opt. 14, 105401 (2012)
Dimitropoulos, D., Raghunathan, V., Claps, R., Jalali, B.: Phase-matching and nonlinear optical processes in silicon waveguides. Opt. Express 12, 149–160 (2004)
Fu, Y., Hu, X., Lu, C., Yue, S., Yang, H., Gong, Q.: All-optical logic gates based on nanoscale plasmonic slot waveguides. Nano Lett. 12, 5784–5790 (2012)
Fu, Y., Ye, T., Tang, W., Chu, T.: Efficient adiabatic silicon-on-insulator waveguide taper. Photon. Res. 2, A41–A44 (2014)
Gao, L., Chen, L., Wei, H., Xu, H.: Lithographically fabricated gold nanowire waveguides for plasmonic routers and logic gates. Nanoscale 10, 11923–11929 (2018)
Gilarlue, M., Badri, S.H.: Photonic crystal waveguide crossing based on transformation optics. Opt. Commun. 450, 308–315 (2019)
Hazura, H., Menon, P.S., Majlis, B.Y., Hanim, A.R., Mardiana, B., Hasanah, L., Mulyanti, B., Mahmudin, D., Wiranto, G.: Modeling of SOI-based MRR by coupled mode theory using lateral coupling configuration. In: 10th IEEE International Conference on Semiconductor Electronics (ICSE), Kuala Lumpur, Malaysia, pp. 422–425 (2012)
Hu, Y., Yang, Z., Chen, N., Hu, H., Zhang, B., Yang, H., Lu, X., Zhang, X., J. Xu, J.: 3×40 Gbit/s all-optical logic operation based on low-loss triple-mode silicon waveguide. Micromachines 13, 90 (2022)
Husko, C., Vo, T.D., Corcoran, B., Li, J., Krauss, T., Eggleton, B.: Ultracompact all-optical XOR logic gate in a slow-light silicon photonic crystal waveguide. Opt. Express 19, 20681–20690 (2011)
Ishizaka, Y., Kawaguchi, Y., Saitoh, K., Koshiba, M.: Design of ultracompact all-optical XOR and AND logic gates with low power consumption. Opt. Commun. 284, 3528–3533 (2011)
Jandieri, V., Khomeriki, R., Erni, D.: Realization of true all-optical AND logic gate based on the nonlinear coupled air-hole type photonic crystal waveguide. Opt. Express 26, 19845–19853 (2018)
Jiao, S., Feng, J., Zhang, L., Wu, D., Shen, Y.: Optical logic gate operations with single-pixel imaging. IEEE J. Sel. Top. Quant. Electron. 29, 1–8 (2023)
Kazimierczuk, M.K.: Pulse-Width Modulated DC–DC Power Converters, 2nd edn. John Wiley & Sons, Ltd (2016)
Keshtkar, P., Miri, M., Yasrebi, N.: Low power, high speed, all-optical logic gates based on optical bistability in graphene-containing compact microdisk resonators. Appl. Opt. 60, 7234–7242 (2021)
Kita, S., Nozaki, K., Takata, K., Shinya, A., Notomi, M.: Ultrashort low-loss Ψ gates for linear optical logic on Si photonics platform. Commun. Phys. 3, 33 (2020)
Kotb, A., Zoiros, K.E., Hatziefremidis, A., Guo, C.: Optical logic gates based on Z-shaped silicon waveguides at 1.55 μm. Micromachines 14, 1266 (2023).
Kotb, A., Zoiros, K.E., Li, W.: Silicon-on-silica waveguides-based all-optical logic gates at 1.55 μm. Phys. Scr. 98, 035517 (2023)
Kotb, A., Guo, C.: 100 Gb/s all-optical multifunctional AND, XOR, NOR, OR, XNOR, and NAND logic gates in a single compact scheme based on semiconductor optical amplifiers. Opt. Laser Technol. 137, 106828 (2021)
Kotb, A., Yao, C.: All-optical logic operations based on silicon-on-insulator waveguides. Opt. Eng. 62, 048101 (2023)
Kumar, A., Kumar, M., Jindal, S.K., Raghuwanshi, S.K., Kumar, R.C.: Implementation of all-optical 1 × 4 memory register unit using the micro-ring resonator structures. Opt. Quant. Electron. 53, 492 (2021)
Laakso, I., Ilvonen, S., Uusitupa, T.: Performance of convolutional PML absorbing boundary conditions in finite-difference time-domain SAR calculations. Phys. Med. Biol. 52, 7183–7192 (2007)
Lu, L., Zhang, M., Zhou, F., Chang, W., Tang, J., Li, D., Ren, X., Pan, Z., Cheng, M., Liu, D.: Inverse-designed ultra-compact star-crossings based on PhC-like subwavelength structures for optical intercross connect. Opt. Exp. 25, 18355–18364 (2017)
Ma, Y., Zhang, Y., Yang, S., Novack, A., Ding, R., Lim, A.E.J., Lo, G.Q., Baehr-Jones, T., Hochberg, M.: Ultralow loss single layer submicron silicon waveguide crossing for SOI optical interconnect. Opt. Express 21, 29374–29382 (2013)
Mostafa, T.S., Mohammed, N.A., El-Rabaie, E.M.: Ultra-high bit rate all-optical AND/OR logic gates based on photonic crystal with multi-wavelength simultaneous operation. Mod. Opt. 66, 1005–1016 (2019)
Neseli, B., Yilmaz, Y.A., Kurt, H., Turduev, M.: Inverse design of ultra-compact photonic gates for all-optical logic operations. J. Phys. D Appl. Phys. 55, 215107 (2022)
Pan, D., Wei, H., Xu, H.: Optical interferometric logic gates based on metal slot waveguide network realizing whole fundamental logic operations. Opt. Express 21, 9556–9562 (2013)
Priya, N.H., Swarnakar, S., Krishna, S.V., Kumar, S.: Design and analysis of a photonic crystal-based all-optical 3-input OR gate for high-speed optical processing. Opt. Quantum Electron. 53, 720 (2021)
Priya, N.H., Swarnakar, S., Krishna, S.V., Kumar, S.: Design and analysis of an optical three-input AND gate using a photonic crystal fiber. Appl. Opt. 61, 77–83 (2022)
Rani, P., Kalra, Y., Sinha, R.K.: Design of all optical logic gates in photonic crystal waveguides. Optik 126, 950–955 (2015)
Rao, D.G.S., Swarnakar, S., Palacharla, V., Raju, K.S.R., Kumar, S.: Design of all-optical AND, OR, and XOR logic gates using photonic crystals for switching applications. Photon Netw. Commun. 41, 109–118 (2021)
Sakai, A., Hara, G., Baba, T.: Propagation characteristics of ultrahigh-D optical waveguide on a silicon-on-insulator substrate. Jpn. J. Appl. Phys. 40, L383 (2011)
Sanchis, P., Villalba, P., Cuesta, F., Håkansson, A., Griol, A., Galán, J.V., Brimont, A., Martí, J.: Highly efficient crossing structure for silicon-on-insulator waveguides. Opt. Lett. 34, 2760–2762 (2009)
Singh, M., Datta, A.: Modeling of a vertical hybrid plasmonic switch with VO2 fin bragg grating. IEEE Photon. Technol. Lett. 30, 997–1000 (2018)
Singh, L., Pareek, P., Kumar, G.M., Singh, D.R.: A microscale numerical analysis of Ex-OR and Ex-NOR logic gates by using single plasmonic MZI. Plasmonics 16, 1127–1136 (2021)
Tong, X.C.: Silicon-on-insulator waveguides. In: Advanced Materials for Integrated Optical Waveguides. Springer Series in Advanced Microelectronics 46, 253–287 (2014).
www.lumerical. com/tcadproducts/fdtd/.e
Xiong, J., Tang, J., Chen, M., Wang, T., Cheng, Y., Wen, H.: Sensing performance of temperature insensitive microring resonators with double-layer U-shaped waveguide. Optik 262, 169236 (2022)
Yao, C., Kotb, A., Wang, B., Singh, S., Guo, C.: All-optical logic gates using dielectric-loaded waveguides with quasi-rhombus metasurfaces. Opt. Lett. 45, 3769–3772 (2020)
Zeng, S., Zhang, Y., Pun, E.: Ultrasmall optical logic gates based on silicon periodic dielectric waveguides. Photon. Nanostr. Fundam. Appl. 8, 32–37 (2010)
Zhang, L., Yue, Y., Beausoleil, R.C., Willner, A.E.: Flattened dispersion in Si slot waveguides. Opt. Exp. 18, 20529–20534 (2010)
Zoiros, K.E., Papadopoulos, G., Houbavlis, T., Kanellos, G.T.: Theoretical analysis and performance investigation of ultrafast all-optical Boolean XOR gate with semiconductor optical amplifier-assisted Sagnac interferometer. Opt. Commun. 258, 114–134 (2006)
Zou, Y., Chakravarty, S., Chung, C.J., Xu, X., Chen, R.T.: Mid-infrared silicon photonic waveguides and devices. Photon. Res. 6, 254–276 (2018)
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Simulation, data collection, and analysis were performed by AK. The first draft of the manuscript was written by AK. KKZ commented on and improved the previous versions of the manuscript. All authors read and approved the final manuscript.
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Kotb, A., Zoiros, K.E. Research on silicon waveguide crossing for optical logic operations at telecommunication wavelength. Opt Quant Electron 56, 803 (2024). https://doi.org/10.1007/s11082-024-06463-y
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DOI: https://doi.org/10.1007/s11082-024-06463-y