Nonlinear Fano resonance and bistable wave transmission

TL;DR

This paper introduces a nonlinear Fano resonance in a discrete particle chain with Kerr nonlinearity, demonstrating bistable wave transmission and reflection effects for continuous waves and pulses.

Contribution

It presents a nonlinear generalization of the Fano-Anderson model, revealing amplitude-dependent bistable transmission and reflection phenomena.

Findings

Identification of nonlinear Fano resonance effects

Demonstration of bistable wave transmission and reflection

Analysis of continuous wave and pulse behaviors

Abstract

We consider a discrete model that describes a linear chain of particles coupled to a single-site defect with instantaneous Kerr nonlinearity. We show that this model can be regarded as a nonlinear generalization of the familiar Fano-Anderson model, and it can generate the amplitude depended bistable resonant transmission or reflection. We identify these effects as the nonlinear Fano resonance, and study its properties for continuous waves and pulses.