{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T17:06:11Z","timestamp":1772125571401,"version":"3.50.1"},"reference-count":20,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,6,30]],"date-time":"2024-06-30T00:00:00Z","timestamp":1719705600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, a novel approach to design a photonic crystal exclusive-OR (XOR) gate with high performance using recurrent neural network (RNN) is proposed, integrating the principles of symmetry and asymmetry inherent in photonic structures. The proposed model realizes the nonlinearities and dispersion properties in photonic systems, optimizing the waveguide paths and interference patterns to improve the performance of the logic gate. Simulation results demonstrate that the presented RNN design not only achieves high fidelity in the logical operation but also significantly enhances the functionality of the all-optical gate. This integration of machine learning with photonic crystal technology opens a new era for developing compact, energy-efficient photonic circuits for high-speed optical computing. Finally, the performance of the designed all-optical gate is compared with other related methods, which shows that the proposed gate outperforms other works. The results show that the obtained output power of the proposed all-optical XOR gate is 0, 0.813, 0.82, and 1 \u00d7 10\u22127 in the logical states.<\/jats:p>","DOI":"10.3390\/sym16070820","type":"journal-article","created":{"date-parts":[[2024,7,3]],"date-time":"2024-07-03T04:23:43Z","timestamp":1719980623000},"page":"820","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Design of a Photonic Crystal Exclusive-OR Gate Using Recurrent Neural Networks"],"prefix":"10.3390","volume":"16","author":[{"given":"Pouya","family":"Karami","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah 6718997551, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2724-5118","authenticated-orcid":false,"given":"Salah I.","family":"Yahya","sequence":"additional","affiliation":[{"name":"Department of Communication and Computer Engineering, Cihan University-Erbil, Erbil 44001, Iraq"},{"name":"Department of Software Engineering, Faculty of Engineering, Koya University, Koya KOY45, Iraq"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6063-3377","authenticated-orcid":false,"given":"Muhammad Akmal","family":"Chaudhary","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, College of Engineering and Information Technology, Ajman University, Ajman 346, United Arab Emirates"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1584-8747","authenticated-orcid":false,"given":"Maher","family":"Assaad","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, College of Engineering and Information Technology, Ajman University, Ajman 346, United Arab Emirates"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4024-2755","authenticated-orcid":false,"given":"Saeed","family":"Roshani","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah 6718997551, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9925-673X","authenticated-orcid":false,"given":"Fawwaz","family":"Hazzazi","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, College of Engineering, Prince Sattam bin Abdulaziz University, Al-Kharj 11492, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9044-3048","authenticated-orcid":false,"given":"Fariborz","family":"Parandin","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah 6718997551, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5088-499X","authenticated-orcid":false,"given":"Sobhan","family":"Roshani","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Kermanshah Branch, Islamic Azad University, Kermanshah 6718997551, Iran"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1038\/530144a","article-title":"The chips are down for Moore\u2019s law","volume":"530","author":"Waldrop","year":"2016","journal-title":"Nat. News"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1166","DOI":"10.1109\/JPROC.2009.2014298","article-title":"Device requirements for optical interconnects to silicon chips","volume":"97","author":"Miller","year":"2009","journal-title":"Proc. IEEE"},{"key":"ref_3","unstructured":"Joannopoulos, J.D., Meade, R., and Winn, J.N. (1995). Photonic Crystals: Molding the Flow of Light, Princeton University Press."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Sakoda, K., and Sakoda, K. (2005). Optical Properties of Photonic Crystals, Springer.","DOI":"10.1007\/b138376"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"170794","DOI":"10.1016\/j.ijleo.2023.170794","article-title":"A review of different techniques used to design photonic crystal-based logic gates","volume":"282","author":"Jindal","year":"2023","journal-title":"Optik"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.optcom.2015.03.011","article-title":"Realization of all optical half-adder based on self-collimated beams by two-dimensional photonic crystals","volume":"348","author":"Jiang","year":"2015","journal-title":"Opt. Commun."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.optlastec.2012.12.030","article-title":"Design of ultra compact all-optical XOR, XNOR, NAND and OR gates using photonic crystal multi-mode interference waveguides","volume":"50","author":"Liu","year":"2013","journal-title":"Opt. Laser Technol."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Shaik, E.H., and Rangaswamy, N. (2019). Interference-Based All-Optical Photonic Crystal Logic Gates. Advances in Photonic Crystals and Devices, CRC Press.","DOI":"10.1201\/9781351029421-14"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s11082-011-9527-y","article-title":"Design and simulation of an all-optical photonic crystal AND gate using nonlinear Kerr effect","volume":"44","author":"Danaie","year":"2012","journal-title":"Opt. Quantum Electron."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1515\/joc-2017-0129","article-title":"An optical five channel demultiplexer-based simple photonic crystal ring resonator for WDM applications","volume":"41","author":"Naghizade","year":"2019","journal-title":"J. Opt. Commun."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1515\/joc-2017-0088","article-title":"Loss-less elliptical channel drop filter for WDM applications","volume":"40","author":"Naghizade","year":"2019","journal-title":"J. Opt. Commun."},{"key":"ref_12","first-page":"1","article-title":"Design and Optimization of a Photonic Crystal-Based All-Optical XOR Gate Using Machine Learning","volume":"18","author":"Parandin","year":"2024","journal-title":"Majlesi J. Electr. Eng."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"115029","DOI":"10.1016\/j.eswa.2021.115029","article-title":"Performance analysis of all-optical logical gate using artificial neural network","volume":"178","author":"Hamedi","year":"2021","journal-title":"Expert Syst. Appl."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"103426","DOI":"10.1016\/j.yofte.2023.103426","article-title":"A hybrid method for photonic crystal fiber polarization filter based on artificial neural network and genetic algorithms","volume":"80","author":"Yang","year":"2023","journal-title":"Opt. Fiber Technol."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1515","DOI":"10.1109\/JLT.2020.3035580","article-title":"Generative adversarial neural networks model of photonic crystal fiber based surface plasmon resonance sensor","volume":"39","author":"Zelaci","year":"2020","journal-title":"J. Light. Technol."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"27397","DOI":"10.1021\/acsami.2c05083","article-title":"Physics-guided neural-network-based inverse design of a photonic\u2013plasmonic nanodevice for superfocusing","volume":"14","author":"Liang","year":"2022","journal-title":"ACS Appl. Mater. Interfaces"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1515\/joc-2017-0142","article-title":"Design of all optical XOR gate based on photonic crystal ring resonator","volume":"41","author":"Swarnakar","year":"2019","journal-title":"J. Opt. Commun."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s11107-020-00916-6","article-title":"Design of all-optical AND, OR, and XOR logic gates using photonic crystals for switching applications","volume":"41","author":"Rao","year":"2021","journal-title":"Photonic Netw. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1007\/s11082-019-2167-3","article-title":"Reconfigurable all optical half adder and optical XOR and AND logic gates based on 2D photonic crystals","volume":"52","author":"Parandin","year":"2020","journal-title":"Opt. Quantum Electron."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.optcom.2017.11.043","article-title":"New designs of a complete set of photonic crystals logic gates","volume":"411","author":"Hussein","year":"2018","journal-title":"Opt. 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