Engineering Fano resonances in discrete networks

TL;DR

This paper explores how to control wave transmission in discrete networks by engineering Fano resonances, including the effects of nonlinear defects, providing exact solutions and conditions for perfect reflection and transmission.

Contribution

It introduces a method to engineer Fano resonances in discrete networks and demonstrates how nonlinear defects can tune these resonances for desired transmission properties.

Findings

Exact solutions for wave transmission coefficients

Conditions for perfect reflection and transmission

Tuning of Fano resonances via nonlinear defects

Abstract

We study transmission properties of discrete networks composed of linear arrays coupled to systems of N side defects, and demonstrate the basic principles of the resonant scattering management through engineering Fano resonances. We find exact solutions for the wave transmission coefficient and reveal the conditions for the perfect reflections and transmissions due to either destructive or constructive interferences. We associate these reflections and transmissions with Fano resonances, and demonstrate how they can be tuned by introducing nonlinear defects into the network.