Families of stationary modes in complex potentials

TL;DR

This paper demonstrates that a broad class of asymmetric complex potentials in Kerr media can support continuous families of stable nonlinear stationary modes, expanding understanding of wave propagation in complex optical systems.

Contribution

It introduces a new class of complex asymmetric potentials that admit continuous families of nonlinear modes bifurcating from the linear spectrum.

Findings

Supports continuous families of stable nonlinear modes

Examples include asymmetric double-hump complex potentials

Modes bifurcate from the linear spectrum

Abstract

It is shown that a general class of complex asymmetric potentials of the form $ w^2(x)-iw_x(x)$, where $w(x)$ is a real function, allows for the existence of one-parametric continuous families of the stationary nonlinear modes bifurcating from the linear spectrum and propagating in Kerr media. As an example, we introduce an asymmetric double-hump complex potential and show that it supports continuous families of stable nonlinear modes.