Nonlinear waves in a positive-negative coupled waveguide zigzag array

TL;DR

This paper investigates nonlinear electromagnetic wave propagation in a zigzag array of coupled positive and negative index waveguides, revealing a spectral stop band and demonstrating stable solitary wave solutions through numerical simulations.

Contribution

It introduces a model for nonlinear waves in a zigzag waveguide array with positive-negative index coupling, highlighting the existence of a stop band and stable solitary waves.

Findings

Presence of a stop band in the linear wave spectrum.

Existence of steady-state solitary wave solutions.

Numerical evidence of robustness of solitary waves.

Abstract

We consider the coupled electromagnetic waves propagating in a waveguide array, which consists of alternating waveguides of positive and negative refraction indexes. Due to zigzag configuration there are interactions between both nearest and next nearest neighboring waveguides exist. It is shown that there is a stop band in the spectrum of linear waves. The system of evolution equations for coupled waves has the steady state solution describing the electromagnetic pulse running in the array. Numerical simulation demonstrates robustness of these solitary waves.