Solitary electromagnetic waves propagation in the asymmetric oppositely-directed coupler

TL;DR

This paper investigates the propagation of solitary electromagnetic waves in a coupled system of nonlinear positive and negative refractive index waveguides, providing analytical solutions and numerical simulations of their interactions.

Contribution

It introduces a novel model of an oppositely-directed coupler with analytical solutions for nonlinear solitary waves in such systems.

Findings

Existence of coupled nonlinear solitary waves in the system.

Analytical solutions for solitary wave propagation.

Collision dynamics depend on relative velocity.

Abstract

We consider the electromagnetic waves propagating in the system of coupled waveguides. One of the system components is a standard waveguide fabricated from nonlinear medium having positive refraction and another component is a waveguide produced from an artificial material having negative refraction. The metamaterial constituting the second waveguide has linear characteristics and a wave propagating in the waveguide of this type propagates in the direction opposite to direction of energy flux. It is found that the coupled nonlinear solitary waves propagating both in the same direction are exist in this oppositely-directed coupler due to linear coupling between nonlinear positive refractive waveguide and linear negative refractive waveguide. The corresponding analytical solution is found and it is used for numerical simulation to illustrate that the results of the solitary wave collisions are sensible to the relative velocity of the colliding solitary waves.