ALL-OPTICAL LOGIC GATE OPERATION WITH A MULTI-CORE NONLINEAR PHOTONIC CRYSTAL FIBER
DOI:
https://doi.org/10.18173/2354-1059.2024-0019Keywords:
coupled nonlinear Schrodinger equations, logic gates, photonic crystal fiber, split-step Fourier algorithmAbstract
In this paper, we propose the design of a photonic crystal fiber with four central cores infiltrated by a high-index liquid to achieve highly efficient control of light guidance. We analyze the field distribution, effective mode area, and dispersion characteristics of the fundamental guided modes of the fiber. Within the coupled-mode theory, the pulse propagation in the fiber is governed by coupled nonlinear Schrödinger equations. We use the split-step Fourier method to simulate the propagation of pulses numerically. The results show three features of the dynamics: oscillation, switching, and self-trapping. We predict that the fiber could operate as a logic-gate device by introducing suitable input and control signals.
References
[1] Maier SA, (2007). Plasmonics: Fundamentals and Applications, Springer.
[2] Vu DL, (2018). Modified materials with negative refractive index. Science and Technology Publishing House.
[3] Pham VD, Mai DT, Pham QT, Vu MT, Vu DL, Nguyen AD, Man HN & Tran MC, (2023). Multi-element unit cell metamaterial absorber for the GHz frequency applications. HNUE Journal of Science, 68(3), 35-42. DOI: 10.18173/2354-1059.2023-0058.
[4] Salech BEA & Teich MC, (2019). Fundamentals of Photonics (3rd ed.), Wiley & Sons.
[5] Agrawal GP, (2019). Nonlinear fiber optics (6th ed.), Academic Press.
[6] Nguyen VH, Le XTT, Mattia L, Ryszard B, Ignac B, Ignas A, Audrius P, Andrius B, Boris M & Marek T, (2023). Self-trapping and switching of solitonic pulses in mismatched dual-core highly nonlinear fibers. Chaos, Solitons and Fractals, 167, 113045. DOI: 10.1016/j.chaos.2022.113045.
[7] Hoang TT, Ngo QM, Vu DL & Nguyen PTH, (2018). Controlling Fano resonances in multilayer dielectric gratings towards optical bistable devices. Scientific Reports, 8(1), 1-8. DOI: 10.1038/s41598-018-34787-9.
[8] Menezes JWM, de Fraga WB, Ferreira AC, Saboia KDA, Filho AFGF, Guimarães GF, Sousa JRR, Rocha HHB & Sombra ASB, (2007). Logic gates based in two- and three-modes nonlinear optical fiber couplers. Optical and Quantum Electronics, 39, 1191-1206. DOI: 10.1007/s11082-008-9186-9.
[9] Menezes JWM, de Fraga WB, Guimaraes GF, Ferreira AC, Rocha HHB, da Silva MG & Sombra ASB, (2007). Optical switches and all-fiber logical devices based on triangular and planar three-core nonlinear optical fiber couplers. Optics Communications, 276, 107-115. DOI: 10.1016/j.optcom.2007.03.071.
[10] Fraga WB, Menezes JWM, da Silva MG, Sobrinho CS & Sombra ASB, (2006). All-optical logic gates based on an asymmetric nonlinear directional coupler. Optics Communications, 262, 32-37. DOI: 10.1016/j.optcom.2005.12.033.
[11] Singh P, Tripathi DKr, Jaiswal S & Dixit HK, (2014). All-Optical Logic Gates: Designs, Classification, and Comparison. Advances in Optical Technologies, 275083. DOI: 10.1155/2014/275083.
[12] Joannopoulos JD, Johnson SG, Winn JN & Meade RD, (2008). Photonic Crystals - Molding the flow of light (2nd ed.), Princeton University Press.
[13] Parandin F, Malmir MR, (2020). Low Delay Time All Optical NAND, XNOR and OR Logic Gates Based on 2D Photonic Crystal Structure. Journal of Electrical and Computer Engineering Innovations, 8(1), 1-8. DOI: 10.22061/JECEI.2020.6809.342.
[14] Jandieri V, Khomeriki R, Onoprishvili T, Erni D, Chotorlishvili L, Werner DH & Berakdar J, (2021). Band-Gap Solitons in Nonlinear Photonic Crystal Waveguides and Their Application for Functional All-Optical Logic Gating. Photonics, 8, 250. DOI: 10.3390/photonics8070250.
[15] Poli F, Cucinotta A & Selleri S, (2007). Photonic crystal fibers, Springer.
[16] Buczynski R, (2004). Photonic crystal fibers. Acta Physica Polonica A, 106, 141-167. DOI: 10.12693/APhysPolA.106.141.
[17] Liu M, Chiang KS, (2010). Propagation of ultrashort pulses in a nonlinear two-core photonic crystal fiber. Applied Physics B, 98, 815-820. DOI: 10.1007/s00340-009-3870-8.
[18] Martins FLB, Rodrigues JPT, Neto FGM, Nascimento JC, Coelho Jr AG & Fraga WB, (2018). Two and three-input All-optical logic gates on a planar three-core photonic crystal fiber. Optik, 154, 516-523. DOI: 10.1016/j.ijleo.2017.10.067.
[19] Coelho AG, Costa MBC, Ferreira AC, da Silva MG, Lyra ML & Sombra ASB, (2013). Realization of All-Optical Logic Gates in a Triangular Triple-Core Photonic Crystal Fiber. Journal of Lightwave Technology, 31(5), 731-739. DOI: 10.1109/JLT.2012.2232641.
[20] Uthayakumar T, Vasantha Jayakantha Raja R, and Porsezian K, (2013). Realization of all-optical logic gates through three core photonic crystal fiber. Optics Communications, 296, 124-131. DOI: 10.1016/j.optcom.2012.12.061.
[21] Fainman Y, Psaltis D & Yang C, (2010). Optofluidics: Fundamentals, Devices, and Applications, The McGraw-Hill Companies, Inc.
[22] https://www.lumerical.com.
[23] Arif MFH, Biddut MJH, (2017). Enhancement of relative sensitivity of photonic crystal fiber with high birefringence and low confinement loss. Optik, 131, 697-704. DOI: 10.1016/j.ijleo.2016.11.203.
[24] Samoc A, (2003). Dispersion of refractive properties of solvents: Chloroform, toluene, benzene, and carbon disulfide in ultraviolet, visible, and near infrared. Journal of Applied Physics, 94(9), 6167-6174. DOI: 10.1063/1.1615294.
[25] El-Kashef H, (2000). The necessary requirements imposed on polar dielectric laser dye solvents. Physica B, 279, 295-301. DOI: 10.1016/S0921-4526(99)00856-X.
[26] Kedenburg S, Steinmann A, Hegenbarth R, Steinle T & Giessen H, (2014). Nonlinear refractive indices of nonlinear liquids: Wavelength dependence and influence of retarded response. Applied Physics B, 117, 803-816. DOI: 10.1007/s00340-014-5833-y.