Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential

Wei Ping Zhong*, Milivoj Belić, Zhengping Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Snyder-Mitchell model of accessible solitons is a simple model that reduces the dynamics of solitons in highly nonlocal nonlinear media to a linear dynamical system with harmonic potential. Utilizing this model in a system with a nonlinearity coefficient and an external potential generated in highly nonlocal media, we explore its solution by the methods of variable separation and self-similar transformation. We discover a special solution of the model that includes Scorer functions, for which reason we call it the Scorer beam. The transmission dynamics of the Scorer beam in strongly nonlocal nonlinear media is analytically and numerically investigated. Under the specific condition of applying an exponential truncation factor, the evolution of the Scorer beam is more stable and converges faster. We also find that the Scorer beam exhibits self-bending and self-healing characteristics. Our results provide theoretical and numerical guidance for generating Scorer beams that might prove useful for future experimental exploration.

Original languageEnglish
Article number103442
Number of pages8
JournalWave Motion
Volume132
DOIs
Publication statusPublished - Jan 2025

Keywords

  • Highly nonlocal nonlinear media
  • Potential
  • Scorer beams
  • Snyder-Mitchell model with an external

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