Continuous families of non-Hermitian surface solitons

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.

5 pages, 5 figures; to appear in Optics Letters

References in corpus (4)

• Stable localized modes in asymmetric waveguides with gain and loss
• Families of stationary modes in complex potentials
• Edge and bulk dissipative solitons in modulated PT-symmetric waveguide arrays
• Polariton surface solitons under a resonant pump

Cited by in corpus (1)

• Stability restoration by asymmetric nonlinear states in non-Hermitian double-well potentials