Nonlinear localized modes at phase-slip defects in waveguide arrays

TL;DR

This paper investigates how nonlinear localized modes form and behave at phase-slip defects in coupled optical waveguide arrays, revealing their stability and generation mechanisms in linear and nonlinear regimes.

Contribution

It introduces the concept of nonlinear defect modes at phase-slip defects, combining properties of surface modes and discrete solitons, and analyzes their stability and formation.

Findings

Nonlinear defect modes exhibit properties of both surface modes and discrete solitons.

Stable localized modes can be generated at phase-slip defects.

The study covers both linear and nonlinear regimes of mode formation.

Abstract

We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear surface modes and discrete solitons. We analyze stability of the localized modes and their generation in both linear and nonlinear regimes.