Quasi-discrete microwave solitons in a split ring resonator-based left-handed coplanar waveguide

TL;DR

This paper investigates the behavior of quasi-discrete microwave solitons in a nonlinear left-handed coplanar waveguide with split ring resonators, deriving a nonlinear lattice model and confirming the existence and robustness of bright envelope solitons through analytical and numerical methods.

Contribution

It introduces a nonlinear lattice model for microwave solitons in left-handed waveguides and demonstrates their existence and stability analytically and numerically.

Findings

Bright envelope solitons exist in the system.

Numerical simulations agree with analytical predictions.

Solitons are robust and observable in experiments.

Abstract

We study the propagation of quasi-discrete microwave solitons in a nonlinear left-handed coplanar waveguide coupled with split ring resonators. By considering the relevant transmission line analogue, we derive a nonlinear lattice model which is studied analytically by means of a quasi-discrete approximation. We derive a nonlinear Schr{\"o}dinger equation, and find that the system supports bright envelope soliton solutions in a relatively wide subinterval of the left-handed frequency band. We perform systematic numerical simulations, in the framework of the nonlinear lattice model, to study the propagation properties of the quasi-discrete microwave solitons. Our numerical findings are in good agreement with the analytical predictions, and suggest that the predicted structures are quite robust and may be observed in experiments.