Relation between surface solitons and bulk solitons in nonlocal nonlinear media

TL;DR

This paper explores the relationship between surface and bulk solitons in nonlocal nonlinear media, providing analytical solutions, confirming them with simulations, and analyzing their oscillating behavior and interactions.

Contribution

It introduces a novel analytical framework linking surface and bulk solitons and derives explicit solutions and dynamics in strongly nonlocal media.

Findings

Surface solitons are half of antisymmetric bulk solitons.

Analytical solutions for surface solitons and breathers are obtained.

Oscillating propagation and interaction with image beams are characterized.

Abstract

We find that a surface soliton in nonlocal nonlinear media can be regarded as a half of a bulk soliton with an antisymmetric amplitude distribution. The analytical solutions for the surface solitons and breathers in strongly nonlocal media are obtained, and the critical power and breather period are gotten analytically and confirmed by numerical simulations. In addition, the oscillating propagation of nonlocal surface solitons launched away from the stationary position is considered as the interaction between the soliton and its out-of-phase image beam. Its trajectory and oscillating period obtained by our model are in good agreement with the numerical simulations.