Observation of modulation instability in a nonlinear magnetoinductive waveguide

TL;DR

This paper investigates modulation instability in a nonlinear magnetoinductive waveguide through numerical simulations and experiments, demonstrating the phenomenon in a microwave circuit with varactor-loaded resonators and aligning experimental results with theoretical predictions.

Contribution

It provides the first combined numerical and experimental analysis of modulation instability in a nonlinear magnetoinductive waveguide, using varactor-loaded split-ring resonators.

Findings

Modulation instability observed in both simulations and experiments.

Experimental results roughly match numerical predictions.

Nonlinear magnetoinductive waveguide can generate modulation instability.

Abstract

We report numerical and experimental investigations into modulation instability in a nonlinear magnetoinductive waveguide. By numerical simulation we find that modulation instability occurs in an electrical circuit model of a magnetoinductive waveguide with third-order nonlinearity. We fabricate the nonlinear magnetoinductive waveguide for microwaves using varactor-loaded split-ring resonators and observe the generation of modulation instability in the waveguide. The condition for generating modulation instability in the experiment roughly agrees with that in the numerical analysis.