Vortex solitons produced in spatially modulated linear and nonlinear refractive index waveguides

Si Liu Xu*, Milivoj R. Belić, Dong Ping Cai, Li Xue, Jun Rong He, Jiaxi Cheng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We discuss analytical localized soliton solutions to the generalized nonautonomous nonlinear Schrödinger equation (NLSE) in waveguides featuring transverse modulation of both the linear and nonlinear refractive index changes. We utilize the similarity transformation technique to obtain these solutions. It turns out that the generalized nonautonomous NLSE with space-dependent coefficients can be reduced to the stationary NLSE, provided certain constraints are placed on the linear and nonlinear refractive indices. Various shapes of exact vortex soliton solutions are studied theoretically and analytically. Finally, the stability analysis of the solutions is discussed numerically. Our findings address an alternative way for the realization of stable vortex solitons with higher topological charges and the radial quantum numbers.

Original languageEnglish
Pages (from-to)410-416
Number of pages7
JournalJournal of the Optical Society of America B: Optical Physics
Volume35
Issue number2
DOIs
Publication statusPublished - 1 Feb 2018
Externally publishedYes

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