Localized Modes in Open One-Dimensional Dissipative Random Systems

TL;DR

This paper investigates localized resonances in open dissipative 1D random systems, showing that reflection measurements can effectively detect these resonances even with small losses, and proposes an algorithm to extract system parameters from reflection data.

Contribution

It provides a combined theoretical and experimental analysis of localized modes in dissipative systems and introduces a novel reflection-based method to characterize them.

Findings

Resonances are detectable in reflection despite low transmission.

Small losses can enhance resonance detection in reflection.

An algorithm successfully retrieves system parameters from reflection measurements.

Abstract

We consider, both theoretically and experimentally, the excitation and detection of the localized quasi-modes (resonances) in an open dissipative 1D random system. We show that even though the amplitude of transmission drops dramatically so that it cannot be observed in the presence of small losses, resonances are still clearly exhibited in reflection. Surprisingly, small losses essentially improve conditions for the detection of resonances in reflection as compared with the lossless case. An algorithm is proposed and tested to retrieve sample parameters and resonances characteristics inside the random system exclusively from reflection measurements.