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

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• Soliton dynamics and stability in the ABS spinor model with a PT-symmetric periodic potential
• On non-existence of continuous families of stationary nonlinear modes for a class of complex potentials
• Balancing gain and loss in symmetrised multi-well potentials
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