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Characteristics of certain higher-order Hermite-cos-Gauss breathing solitons induced by the initial wavefront bending in optical media with nonlocal nonlinearity

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  • Li, Jie
  • Yang, Zhen-Jun
  • Zhang, Shu-Min

Abstract

In this paper, we discuss the evolution dynamics of Hermite-cos-Gauss (HcG) beams with initial isophase wavefront bending in optical media with nonlocal nonlinearity. Nonlocal nonlinearity can induce nonlinear refractive index potential wells, resulting in rich nonlinear physical transmission characteristics of optical beams. The initial phase wavefront bending means that the isophase surface of the HcG beam at the incident plane is not a plane and has a certain wavefront curvature. The results show that when the initial isophase wavefront of HcG beams is not a plane, they can only form breathing solitons, that is, its transverse statistical width changes periodically during propagation. A detailed analysis on the breathing period, breathing range, breathing velocity, breathing acceleration and other dynamic characteristics of HcG breathing solitons are given. The transverse energy distribution at different evolution distances and the evolution process of transverse energy flow of HcG breathing solitons are discussed. Some typical dynamic characteristics of HcG breathing solitons are demonstrated through numerical simulations.

Suggested Citation

  • Li, Jie & Yang, Zhen-Jun & Zhang, Shu-Min, 2024. "Characteristics of certain higher-order Hermite-cos-Gauss breathing solitons induced by the initial wavefront bending in optical media with nonlocal nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924008907
    DOI: 10.1016/j.chaos.2024.115338
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    References listed on IDEAS

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    1. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Shen, Yuan & Tian, Bo & Zhou, Tian-Yu & Cheng, Chong-Dong, 2023. "Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Sun, Zhuo-Yue & Deng, Duo & Pang, Zhao-Guang & Yang, Zhen-Jun, 2024. "Nonlinear transmission dynamics of mutual transformation between array modes and hollow modes in elliptical sine-Gaussian cross-phase beams," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. Wang, Qing & Zhang, Lingling & Malomed, Boris A. & Mihalache, Dumitru & Zeng, Liangwei, 2022. "Transformation of multipole and vortex solitons in the nonlocal nonlinear fractional Schrödinger equation by means of Lévy-index management," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    5. Liang, Guo & Shu, Fangjie & Zhong, Lanhua & Wang, Meng & Cheng, Wenjing, 2023. "Chirp-induced chaotic self-trapped patterns and power controllable interactions in nonlocal nonlinear system with oscillatory responses," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
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    1. Yu, Weitian & Wen, Xiaoyong & Liu, Wenjun, 2025. "Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).

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