Families of stationary modes in complex potentials

Abstract

It is shown that a general class of complex asymmetric potentials of the form $w^2(x)-i{w}_x(x)$, 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.

4 pages, 2 figures; accepted for Optics Letters http://www.opticsinfobase.org/ol/home.cfm

References in corpus (3)

• Making Sense of Non-Hermitian Hamiltonians
• Solitons in PT-symmetric nonlinear lattices
• Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear $\mathcal{P}\mathcal{T}$-symmetric defect