Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results

Abstract

We employ the Random Matrix Theory framework to calculate the density of zeroes of an $M$-channel scattering matrix describing a chaotic cavity with a single localized absorber embedded in it. Our approach extends beyond the weak-coupling limit of the cavity with the channels and applies for any absorption strength. Importantly it provides an insight for the optimal amount of loss needed to realize a chaotic coherent perfect absorbing (CPA) trap. Our predictions are tested against simulations for two types of traps: a complex network of resonators and quantum graphs.

published version

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• Topological Acoustics
• Coherent Perfect Absorbers: Time-reversed Lasers
• Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
• Are Scattering Properties of Graphs Uniquely Connected to Their Shapes?
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