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Journal of the European Optical Society-Rapid Publications, Volume. 19, Issue 1, 2023025(2023)

Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

Khalil S. Al-Ghafri1、*, Mani Sankar1, Edamana V. Krishnan2, Salam Khan3, and Anjan Biswas4,5,6,7
Author Affiliations
  • 1College of Applied Sciences, University of Technology and Applied Sciences, P.O. Box 14, Ibri 516, Oman
  • 2Department of Mathematics, Sultan Qaboos University, P.O.Box 36, Al-Khod 123, Muscat, Oman
  • 3Independent Researcher, Madison, AL 35758, USA
  • 4Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
  • 5Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 6Department of Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati 800201, Romania
  • 7Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, Pretoria, South Africa
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    [1] B.P. Pal. Guided wave optical components and devices: basics, technology, and applications(2005).

    [2] T. Zhongwei, L. Chao. Optical fiber communication technology: Present status and prospect. Strategic Study of CAE, 22, 100-107(2020).

    [3] A. Yariv, P. Yeh. Photonics: optical electronics in modern communications(2007).

    [4] L.F. Mollenauer, R.H. Stolen, J.P. Gordon. Experimental observation of picosecond pulse narrowing and solitons in optical fibers. Phys. Rev. Lett., 45, 1095(1980).

    [5] E. Shiojiri, Y. Fujii. Transmission capability of an optical fiber communication system using index nonlinearity. Appl. Opt., 24, 358-360(1985).

    [6] K. Porsezian, K. Nakkeeran. Optical solitons in presence of Kerr dispersion and self-frequency shift. Phys. Rev. Lett., 76, 3955(1996).

    [7] A. Hasegawa, M. Matsumoto. Information transfer in optical fibers and evolution of the lightwave packet, 19-40(2003).

    [8] P. Marin-Palomo, J.N. Kemal, M. Karpov, A. Kordts, J. Pfeifle, M.H.P. Pfeiffer, P. Trocha, S. Wolf, V. Brasch, M.H. Anderson, R. Rosenberger, K. Vijayan, W. Freude, T.J. Kippenberg, C. Koos. Microresonator-based solitons for massively parallel coherent optical communications. Nature, 546, 274-279(2017).

    [9] N. Doran, K. Blow. Solitons in optical communications. IEEE J. Quantum Elect., 19, 1883-1888(1983).

    [10] G.P. Agrawal. Nonlinear fiber optics: quantum electronics – principles and applications(1995).

    [11] W.F. Hamann, H.A. Glick. Integrated diagnostics for Navy fiber optic systems. SPIE, 2594, 2-19(1996).

    [12] R. Radhakrishnan, A. Kundu, M. Lakshmanan. Coupled nonlinear Schrödinger equations with cubic-quintic nonlinearity: integrability and soliton interaction in non-Kerr media. Phys. Rev. E, 60, 3314(1999).

    [13] G. Huang, L. Deng, M. Payne. Dynamics of ultraslow optical solitons in a cold three-state atomic system. Phys. Rev. E, 72, 016617(2005).

    [14] A. Amit Goyal, R. Gupta, C.N. Kumar, T.S. Raju. Chirped femtosecond solitons and double-kink solitons in the cubic-quintic nonlinear Schrödinger equation with self-steepening and self-frequency shift. Phys. Rev. A, 84, 063830(2011).

    [15] M. Li, T. Xu, L. Wang. Dynamical behaviors and soliton solutions of a generalized higher-order nonlinear Schrödinger equation in optical fibers. Nonlinear Dyn., 80, 1451-1461(2015).

    [16] W. Liu, Y. Zhang, Z. Luan, Q. Zhou, M. Mirzazadeh, M. Ekici, A. Biswas. Dromion-like soliton interactions for nonlinear Schrödinger equation with variable coefficients in inhomogeneous optical fibers. Nonlinear Dyn., 96, 729-736(2019).

    [17] A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic. Optical solitons in fiber Bragg gratings with dispersive reflectivity for quadratic–cubic nonlinearity by extended trial function method. Optik, 185, 50-56(2019).

    [18] A. Darwish, E.A. El-Dahab, H. Ahmed, A.H. Arnous, M.S. Ahmed, A. Biswas, P. Guggilla, Y. Yıldırım, F. Mallawi, M.R. Belic. Optical solitons in fiber Bragg gratings via modified simple equation. Optik, 203, 163886(2020).

    [19] E.M. Zayed, M.E. Alngar, M. El-Horbaty, A. Biswas, A.S. Alshomrani, S. Khan, M. Ekici, H. Triki. Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov’s method and new extended auxiliary equation approach. Chinese J. Phys., 66, 187-205(2020).

    [20] Y. Yıldırım, A. Biswas, S. Khan, P. Guggilla, A.K. Alzahrani, M.R. Belic. Optical solitons in fiber Bragg gratings with dispersive reflectivity by sine-Gordon equation approach. Optik, 237, 166684(2021).

    [21] J. Atai, B.A. Malomed. Families of Bragg-grating solitons in a cubic–quintic medium. Phys. Lett. A, 284, 247-252(2001).

    [22] J. Atai, B.A. Malomed. Gap solitons in Bragg gratings with dispersive reflectivity. Phys. Lett. A, 342, 404-412(2005).

    [23] D.R. Neill, J. Atai, B.A. Malomed. Dynamics and collisions of moving solitons in Bragg gratings with dispersive reflectivity. J. Opt. A: Pure Appl. Opt., 10, 085105(2008).

    [24] S. Dasanayaka, J. Atai. Stability of Bragg grating solitons in a cubic–quintic nonlinear medium with dispersive reflectivity. Phys. Lett. A, 375, 225-229(2010).

    [25] B. Baratali, J. Atai. Gap solitons in dual-core Bragg gratings with dispersive reflectivity. J. Opt., 14, 065202(2012).

    [26] S.S. Chowdhury, J. Atai. Stability of Bragg grating solitons in a semilinear dual core system with dispersive reflectivity. IEEE J. Quantum Elect., 50, 458-465(2014).

    [27] Islam M. Jahirul, J. Atai. Stability of Bragg grating solitons in a semilinear dual-core system with cubic–quintic nonlinearity. Nonlinear Dyn., 87, 1693-1701(2017).

    [28] T. Ahmed, J. Atai. Bragg solitons in systems with separated nonuniform Bragg grating and nonlinearity. Phys. Rev. E, 96, 032222(2017).

    [29] A. Biswas, M. Ekici, A. Sonmezoglu, M.R. Belic. Solitons in optical fiber Bragg gratings with dispersive reflectivity by extended trial function method. Optik, 182, 88-94(2019).

    [30] A. Biswas, J. Vega-Guzman, M.F. Mahmood, S. Khan, Q. Zhou, S.P. Moshokoa, M. Belic. Solitons in optical fiber Bragg gratings with dispersive reflectivity. Optik, 182, 119-123(2019).

    [31] N.A. Kudryashov. Periodic and solitary waves in optical fiber Bragg gratings with dispersive reflectivity. Chinese J. Phys., 66, 401-405(2020).

    [32] E.M. Zayed, M.E. Alngar, A. Biswas, H. Triki, Y. Yıldırım, A.S. Alshomrani. Chirped and chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having quadratic-cubic nonlinearity by sub-ODE approach. Optik, 203, 163993(2020).

    [33] E. Zayed, M. Alngar, A. Biswas, M. Ekici, A. Alzahrani, M. Belic. Chirped and chirp-free optical solitons in fiber Bragg gratings with Kudryashov’s model in presence of dispersive reflectivity. J. Commun. Technol. Electron., 65, 1267-1287(2020).

    [34] Y. Yıldırım, A. Biswas, P. Guggilla, S. Khan, H.M. Alshehri, M.R. Belic. Optical solitons in fibre Bragg gratings with third-and fourth-order dispersive reflectivities. Ukr. J. Phys. Opt., 22, 239-254(2021).

    [35] S. Malik, S. Kumar, A. Biswas, M. Ekici, A. Dakova, A.K. Alzahrani, M.R. Belic. Optical solitons and bifurcation analysis in fiber Bragg gratings with lie symmetry and Kudryashov’s approach. Nonlinear Dyn., 105, 735-751(2021).

    [36] Q. Zhou, H. Triki, J. Xu, Z. Zeng, W. Liu, A. Biswas. Perturbation of chirped localized waves in a dual-power law nonlinear medium. Chaos Solit. Fractals, 160, 112198(2022).

    [37] Q. Zhou, Y. Zhong, H. Triki, Y. Sun, S. Xu, W. Liu, A. Biswas. Chirped bright and kink solitons in nonlinear optical fibers with weak nonlocality and cubic-quantic-septic nonlinearity. Chinese Phys. Lett., 39, 044202(2022).

    [38] F. Mansouri, S. Aouadi, H. Triki, Y. Sun, Y. Yıldırım, A. Biswas, H.M. Alshehri, Q. Zhou. Chirped localized pulses in a highly nonlinear optical fiber with quintic non-Kerr nonlinearities. Results Phys., 43, 106040(2022).

    [39] H. Triki, Y. Sun, A. Biswas, Q. Zhou, Y. Yıldırım, Y. Zhong, H.M. Alshehri. On the existence of chirped algebraic solitary waves in optical fibers governed by Kundu-Eckhaus equation. Results Phys., 34, 105272(2022).

    [40] Y. Zhong, H. Triki, Q. Zhou. Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential. Commun. Theor. Phys., 75, 025003(2023).

    [41] H. Triki, Q. Zhou, W. Liu, A. Biswas, L. Moraru, Y. Yıldırım, H.M. Alshehri, M.R. Belic. Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system. Chaos Solit. Fractals, 155, 111751(2022).

    [42] A. Mecelti, H. Triki, F. Azzouzi, X. Wei, A. Biswas, Y. Yıldırım, H.M. Alshehri, Q. Zhou. New chirped gray and kink self–similar waves in presence of quintic nonlinearity and self–steepening effect. Phys. Lett. A, 437, 128104(2022).

    [43] A.K. Daoui, A. Messouber, H. Triki, Q. Zhou, A. Biswas, W. Liu, A.K. Alzahrani, M.R. Belic. Propagation of chirped periodic and localized waves with higher-order effects through optical fibers. Chaos Solit. Fractals, 146, 110873(2021).

    [44] H. Triki, A. Benlalli, Q. Zhou, A. Biswas, M. Ekici, A.K. Alzahrani, S.-L. Xu, M.R. Belic. Formation of chirped kink similaritons in non-Kerr media with varying Raman effect. Results Phys., 26, 104381(2021).

    [45] H. Triki, Q. Zhou, A. Biswas, W. Liu, Y. Yıldırım, H.M. Alshehri, M.R. Belic. Chirped optical solitons having polynomial law of nonlinear refractive index with self-steepening and nonlinear dispersion. Phys. Lett. A, 417, 127698(2021).

    [46] Q. Zhou, Z. Huang, Y. Sun, H. Triki, W. Liu, A. Biswas. Collision dynamics of three-solitons in an optical communication system with third-order dispersion and nonlinearity. Nonlinear Dyn., 111, 5757-5765(2023).

    [47] E.M. Zayed, M.E. Alngar, A. Biswas, M. Ekici, H. Triki, A.K. Alzahrani, M.R. Belic. Chirped and chirp-free optical solitons in fiber Bragg gratings having dispersive reflectivity with polynomial form of nonlinearity using sub-ode approach. Optik, 204, 164096(2020).

    [48] A.R. Seadawy, H.M. Ahmed, W.B. Rabie, A. Biswas. Chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity. Optik, 225, 165681(2021).

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    Khalil S. Al-Ghafri, Mani Sankar, Edamana V. Krishnan, Salam Khan, Anjan Biswas. Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index[J]. Journal of the European Optical Society-Rapid Publications, 2023, 19(1): 2023025

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    Paper Information

    Category: Research Articles

    Received: Feb. 18, 2023

    Accepted: Apr. 27, 2023

    Published Online: Aug. 31, 2023

    The Author Email: Al-Ghafri Khalil S. (khalil.ibr@cas.edu.om)

    DOI:10.1051/jeos/2023025

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology