Continuous families of non-Hermitian surface solitons

TL;DR

This paper demonstrates that surface solitons in certain complex optical potentials form continuous families parameterized by propagation constants, with their existence constrained by spectral relations between media.

Contribution

It reveals the existence of continuous families of non-Hermitian surface solitons in one-dimensional complex potentials, expanding understanding of soliton behavior at interfaces.

Findings

Surface solitons form continuous families in complex potentials.

The propagation constant range is constrained by spectral relations.

Illustrated with non-Hermitian gap-surface solitons at interfaces.

Abstract

We show that surface solitons form continuous families in one-dimensional complex optical potentials of a certain shape. This result is illustrated by non-Hermitian gap-surface solitons at the interface between a uniform conservative medium and a complex periodic potential. Surface soliton families are parameterized by a real propagation constant. The range of possible propagation constants is constrained by the relation between the continuous spectrum of the uniform medium and the band-gap structure of the periodic potential.