中国物理B ›› 2024, Vol. 33 ›› Issue (10): 100502-100502.doi: 10.1088/1674-1056/ad6b87

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Effective regulation of the interaction process among three optical solitons

Houhui Yi(伊厚会)1, Xiaofeng Li(李晓凤)1, Junling Zhang(张俊玲)1, Xin Zhang(张鑫)1,†, and Guoli Ma(马国利)2,‡   

  1. 1 School of Intelligent Manufacturing, Weifang University of Science and Technology, Weifang 262700, China;
    2 School of Aviation and Aerospace, Tianjin Sino-German University of Applied Sciences, Tianjin 300350, China
  • 收稿日期:2024-07-18 修回日期:2024-07-30 接受日期:2024-08-06 发布日期:2024-09-21
  • 通讯作者: Xin Zhang, Guoli Ma E-mail:phyxin@163.com;bz_mgl$@$163.com
  • 基金资助:
    Project supported by the Scientific Research Foundation of Weifang University of Science and Technology (Grant Nos. KJRC2022002 and KJRC2023035).

Effective regulation of the interaction process among three optical solitons

Houhui Yi(伊厚会)1, Xiaofeng Li(李晓凤)1, Junling Zhang(张俊玲)1, Xin Zhang(张鑫)1,†, and Guoli Ma(马国利)2,‡   

  1. 1 School of Intelligent Manufacturing, Weifang University of Science and Technology, Weifang 262700, China;
    2 School of Aviation and Aerospace, Tianjin Sino-German University of Applied Sciences, Tianjin 300350, China
  • Received:2024-07-18 Revised:2024-07-30 Accepted:2024-08-06 Published:2024-09-21
  • Contact: Xin Zhang, Guoli Ma E-mail:phyxin@163.com;bz_mgl$@$163.com
  • Supported by:
    Project supported by the Scientific Research Foundation of Weifang University of Science and Technology (Grant Nos. KJRC2022002 and KJRC2023035).

摘要: The interaction between three optical solitons is a complex and valuable research direction, which is of practical application for promoting the development of optical communication and all-optical information processing technology. In this paper, we start from the study of the variable-coefficient coupled higher-order nonlinear Schrödinger equation (VCHNLSE), and obtain an analytical three-soliton solution of this equation. Based on the obtained solution, the interaction of the three optical solitons is explored when they are incident from different initial velocities and phases. When the higher-order dispersion and nonlinear functions are sinusoidal, hyperbolic secant, and hyperbolic tangent functions, the transmission properties of three optical solitons before and after interactions are discussed. Besides, this paper achieves effective regulation of amplitude and velocity of optical solitons as well as of the local state of interaction process, and interaction-free transmission of the three optical solitons is obtained with a small spacing. The relevant conclusions of the paper are of great significance in promoting the development of high-speed and large-capacity optical communication, optical signal processing, and optical computing.

关键词: optical solitons, solitons interactions, nonlinear Schrödinger equation, higher-order dispersion and nonlinear effects

Abstract: The interaction between three optical solitons is a complex and valuable research direction, which is of practical application for promoting the development of optical communication and all-optical information processing technology. In this paper, we start from the study of the variable-coefficient coupled higher-order nonlinear Schrödinger equation (VCHNLSE), and obtain an analytical three-soliton solution of this equation. Based on the obtained solution, the interaction of the three optical solitons is explored when they are incident from different initial velocities and phases. When the higher-order dispersion and nonlinear functions are sinusoidal, hyperbolic secant, and hyperbolic tangent functions, the transmission properties of three optical solitons before and after interactions are discussed. Besides, this paper achieves effective regulation of amplitude and velocity of optical solitons as well as of the local state of interaction process, and interaction-free transmission of the three optical solitons is obtained with a small spacing. The relevant conclusions of the paper are of great significance in promoting the development of high-speed and large-capacity optical communication, optical signal processing, and optical computing.

Key words: optical solitons, solitons interactions, nonlinear Schrödinger equation, higher-order dispersion and nonlinear effects

中图分类号:  (Solitons)

  • 05.45.Yv
42.65.Tg (Optical solitons; nonlinear guided waves) 42.81.Dp (Propagation, scattering, and losses; solitons)