Abstract
The interactions between optical solitons have obviously effects on the capacity and quality of communication systems, which will lead to the waveform distortion, deterioration of transmission characteristics, reduction in transmission rate and shortening of the transmission distance. In this paper, we will discuss the optical soliton interactions and reduce their interactions to improve the communication quality. The analytic two soliton solutions are derived based on the bilinear method. Four kinds of interactions between optical solitons are analyzed, and the reasons for reducing the interactions between them are obtained. The conclusions of this paper are helpful to enhance the communication quality and provide theoretical support for nonlinear control methods in nonlinear optical systems.
Similar content being viewed by others
Data availability and material
The authors declare that all data generated or analyzed during this study are included in this article.
References
Marin-Palomo, P., Kemal, J.N., Karpov, M., Kordts, A., Pfeifle, J., Pfeiffer, M.H.P., Trocha, P., Wolf, S., Brasch, V., Anderson, M.H., Rosenberger, R., Vijayan, K., Freude, W., Kippenberg, T.J., Koos, C.: Microresonator-based solitons for massively parallel coherent optical communications. Nature 546(7657), 274–279 (2017)
Leo, F., Coen, S., Kockaert, P., Gorza, S.P., Emplit, P., Haelterman, M.: Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer. Nat. Photon. 4(7), 471–476 (2010)
Temprana, E., Myslivets, E., Kuo, B.P., Liu, L., Ataie, V., Alic, N., Radic, S.: Overcoming Kerr-induced capacity limit in optical fiber transmission. Science 348(6242), 1445–1448 (2015)
Liu, X.Y., Zhang, H.X., Liu, W.J.: The dynamic characteristics of pure-quartic solitons and soliton molecules. Appl. Math. Model. 102, 305–312 (2022)
Inc, M., Houwe, A., Bicer, H.: Ellipticity angle effect on exact optical solitons and modulation instability in birefringent fiber. Opt. Quant. Electron. 53(11), 634 (2021)
Ma, G.L., Zhao, J.B., Zhou, Q., Biswas, A., Liu, W.J.: Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation. Nonlinear Dyn. 106, 2479–2484 (2021)
Wang, L.L., Liu, W.J.: Stable soliton propagation in a coupled (2+1)-dimensional Ginzburg-Landau system. Chin. Phys. B 29(7), 070502 (2020)
Yan, Y.Y., Liu, W.J.: Soliton rectangular pulses and bound states in a dissipative system modeled by the variable-coefficients complex cubic-quintic Ginzburg-Landau equation. Chin. Phys. Lett. 38(9), 094201 (2021)
Liu, M., Wu, H., Liu, X., Wang, Y., Lei, M., Liu, W., Guo, W., Wei, Z.: Optical properties and applications of SnS\(_{2}\) SAs with different thickness. Opto-Electron. Adv. 4(10), 200029 (2021)
Liu, W., Shi, T., Liu, M., Wang, Q., Liu, X., Zhou, Q., Lei, M., Lu, P., Yu, L., Wei, Z.: Nonlinear optical property and application of yttrium oxide in erbium-doped fiber lasers. Opt. Express 29(18), 29402–29411 (2021)
Liu, X., Liu, M., Wang, Y., Huang, K., Lei, M., Liu, W., Wei, Z.: Mode-locked all-fiber laser with high stability based on cobalt oxyfluoride. Chin. Opt. Lett. 19(8), 081902 (2021)
Wang, Y., Hou, S., Yu, Y., Liu, W., Yan, P., Yang, J.: Photonic device combined optical microfiber coupler with saturable-absorption materials and its application in mode-locked fiber laser. Opt. Express 29(13), 20526–20534 (2021)
Pang, L., Sun, Z., Zhao, Q., Wang, R., Yuan, L., Wu, R., Lv, Y., Liu, W.: Ultrafast photonics of ternary Re\(_{x}\)Nb\(_{(1--x)}\)S\(_{2}\) in fiber lasers. ACS Appl. Mater. Inter. 13(24), 28721–28728 (2021)
Li, L., Pang, L., Wang, Y., Liu, W.: W\(_{x}\)Nb\(_{(1--x)}\)Se\(_{2}\) nanosheets for ultrafast photonics. Nanoscale 13(4), 2511–2518 (2021)
Lan, Z.Z., Guo, B.L.: Nonlinear waves behaviors for a coupled generalized nonlinear Schrodinger-Boussinesq system in a homogeneous magnetized plasma. Nonlinear Dyn. 100, 3771–3784 (2020)
Zhao, X.H.: Dark soliton solutions for a coupled nonlinear Schrodinger system. Appl. Math. Lett. 121, 107383 (2021)
Dong, S., Lan, Z.Z., Gao, B., Shen, Y.J.: Backlund transformation and multi-soliton solutions for the discrete Korteweg-de Vries equation. Appl. Math. Lett. 125, 107747 (2022)
Choi, M.R., Kang, Y., Lee, Y.R.: On dispersion managed nonlinear Schrodinger equations with lumped amplification. J. Math. Phys. 62(7), 071506 (2021)
Hu, H., Oxenlowe, L.K.: Chip-based optical frequency combs for high-capacity optical communications. Nanophotonics 10(5), 1367–1385 (2021)
Wang, L., Luan, Z.T., Zhou, Q., Biswas, A., Alzahrani, A.K., Liu, W.J.: Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrodinger equation with the four-wave mixing term. Nonlinear Dyn. 104(3), 2613–2620 (2021)
Wang, H., Zhou, Q., Biswas, A., Liu, W.: Localized waves and mixed interaction solutions with dynamical analysis to the Gross-Pitaevskii equation in the Bose-Einstein condensate. Nonlinear Dyn. 106(1), 841–854 (2021)
Yu, W., Zhang, H., Wazwaz, A.M., Liu, W.: The collision dynamics between double-hump solitons in two mode optical fibers. Results Phys. 28, 104618 (2021)
Ma, G., Zhou, Q., Yu, W., Biswas, A., Liu, W.: Stable transmission characteristics of double-hump solitons for the coupled Manakov equations in fiber lasers. Nonlinear Dyn. 106, 2509–2514 (2021)
Wang, L., Luan, Z., Zhou, Q., Biswas, A., Alzahrani, A.K., Liu, W.: Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrodinger equation with the four-wave mixing term. Nonlinear Dyn. 104(3), 2613–2620 (2021)
Wang, L., Luan, Z., Zhou, Q., Biswas, A., Alzahrani, A.K., Liu, W.: Effects of dispersion terms on optical soliton propagation in a lossy fiber system. Nonlinear Dyn. 104(1), 629–637 (2021)
Liu, X., Zhou, Q., Biswas, A., Alzahrani, A.K., Liu, W.: The similarities and differences of different plane solitons controlled by (3+1)-dimensional coupled variable coefficient system. J. Adv. Res. 24, 167–173 (2020)
Kumar, S., Hasegawa, A.: Quasi-soliton propagation in dispersion-managed optical fibers. Opt. Lett. 22(6), 372–374 (1997)
Akhmediev, N.N., Ankiewicz, A., Soto-Crespo, J.M.: Stable soliton pairs in optical transmission lines and fiber lasers. J. Opt. Soc. Am. B. 15(2), 515–523 (1998)
Rajan, M.S.M., Mahalingam, A.: Nonautonomous solitons in modified inhomogeneous Hirota equation: soliton control and soliton interaction. Nonlinear Dyn. 79(4), 2469–2484 (2015)
Menyuk, C.R., Marks, B.S.: Interaction of polarization mode dispersion and nonlinearity in optical fiber transmission systems. J. Lightwave Technol. 24(7), 2806–2826 (2006)
Liu, W.J., Zhang, Y.J., Triki, H., Mirzazadeh, M., Ekici, M., Zhou, Q., Biswas, A., Belic, M.: Interaction properties of solitonics in inhomogeneous optical fibers. Nonlinear Dyn. 95(1), 557–563 (2019)
Nakazawa, M., Yoshida, E.: A 40-GHz 850-fs regeneratively FM mode-locked polarization-maintaining erbium fiber ring laser. IEEE Photon. Technol. Lett. 12(12), 1613–1615 (2000)
Serkin, V.N., Matsumoto, M., Belyaeva, T.L.: Bright and dark solitary nonlinear Bloch waves in dispersion managed fiber systems and soliton lasers. Opt. Commun. 196(1–6), 159–171 (2001)
Liu, X.Y., Triki, H., Zhou, Q., Liu, W.J., Biswas, A.: Analytic study on interactions between periodic solitons with controllable parameters. Nonlinear Dyn. 94(1), 703–709 (2018)
Liang, A.H., Toda, H., Hasegawa, A.: High-speed soliton transmission in dense periodic fibers. Opt. Lett. 24(12), 799–801 (1999)
Huang, Z., Xu, J., Sun, B.: A new solution of Schrodinger equation based on symplectic algorithm. Comput. Math. Appl. 69(11), 1303–1312 (2015)
Zhong, Z.L.: Dark solitonic interactions for the (3+1)-dimensional coupled nonlinear Schrodinger equations in nonlinear optical fibers. Opt. Laser Technol. 113, 462–466 (2019)
Yu, W.T., Liu, W.J., Triki, H., Zhou, Q., Biswas, A.: Phase shift, oscillation and collision of the anti-dark solitons for the (3+1)-dimensional coupled nonlinear Schrodinger equation in an optical fiber communication system. Nonlinear Dyn. 97, 1253–1262 (2019)
Liu, W.J., Lei, M.: Types of coefficient constraints of coupled nonlinear Schrodinger equations for elastic and inelastic interactions between spatial solitons with symbolic computation. Nonlinear Dyn. 76(4), 1935–1941 (2014)
Hirota, R.: The Direct Method in Soliton Theory, Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge (2004)
Acknowledgements
This work was supported by the National Natural Science Foundation of China (NSFC) (11875009, 11905016), by a Project of Shandong Province Key R&D Program Project (2019GSF109105) and Shandong Province Higher Educational Science and Technology Program (J18KB108).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest concerning the publication of this manuscript.
Ethical approval
The authors declare that they have adhered to the ethical standards of research execution.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Feng, W., Chen, L., Ma, G. et al. Study on weakening optical soliton interaction in nonlinear optics. Nonlinear Dyn 108, 2483–2488 (2022). https://doi.org/10.1007/s11071-022-07305-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11071-022-07305-w