Coupled-mode theory for binary optical lattices

TL;DR

This paper develops a coupled-mode theory for nonlinear wave dynamics in binary optical lattices, providing analytical and numerical solutions for gap solitary waves relevant to various photonic and quantum systems.

Contribution

The paper introduces a new coupled-mode theoretical framework for binary optical lattices, accurately describing nonlinear wave behavior near band edges and within spectral gaps.

Findings

Derivation of coupled-mode equations for binary lattices

Analytical and numerical solutions for gap solitary waves

Relevance to photonic and quantum systems

Abstract

The coupled-mode theory is developed for description of the nonlinear wave dynamics in binary optical lattices. The obtained equations of motion accurately describe nonlinear wave dynamics close to the band edges and in the gap of the linear spectrum of the system. In order to demonstrate the power of the presented approach, bright gap solitary wave solutions of the nonlinear coupled- mode equations are derived and examined both analytically and numerically. The presented results are relevant to nonlinear wave phenomena in coupled waveguide arrays, coupled nano-cavities in photonic crystals, metallo-dielectric systems, and the Bose-Einstein condensates in deep optical lattices.