Coherent superposition propagation of Laguerre–Gaussian and Hermite–Gaussian solitons

In this work, we mainly investigate the propagation of the superimposed field of Laguerre–Gaussian and Hermite–Gaussian solitons in nonlocal nonlinear Schrödinger equation. The propagation expression is obtained and the propagation properties are analyzed. The results show that the propagation prope...

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Bibliographic Details
Published in:Applied mathematics letters 2020-04, Vol.102, p.106114, Article 106114
Main Authors: Song, Li-Min, Yang, Zhen-Jun, Li, Xing-Liang, Zhang, Shu-Min
Format: Article
Language:English
Subjects:
Nonlinear propagation
Nonlocal nonlinear Schrödinger equation
Optical soliton
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Summary:In this work, we mainly investigate the propagation of the superimposed field of Laguerre–Gaussian and Hermite–Gaussian solitons in nonlocal nonlinear Schrödinger equation. The propagation expression is obtained and the propagation properties are analyzed. The results show that the propagation properties of the superimposed field are closely related to the input power and the characteristic parameters. For different input powers, the superimposed field will show periodic changes of broadening or compression while propagating. Different characteristic parameters determine which soliton occupies the dominant position in propagation.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.106114