Statistics of Reflection and Transmission in the Strong Overlap Regime of Fully Chaotic Reverberation Chambers

TL;DR

This study experimentally investigates the statistical behavior of reflection and transmission in chaotic reverberation chambers with strong modal overlap, confirming theoretical predictions and exploring parameter effects.

Contribution

It provides experimental validation of random matrix theory predictions for chaotic reverberation chambers in the strong overlap regime.

Findings

Good agreement with numerical distributions of R and T

Verification of the relation between frequency spacing and decay rate

Experimental determination of coupling parameters

Abstract

We have experimentally investigated a chaotic reverberation chamber in the regime of strong modal overlap ($1{<}d{<}150$) varying the opening as well as the coupling strength $\kappa$ of the two attached antennas. We find a good agreement with numerical distribution of the reflection $R=|S_{ii}|^2$ and transmission $T=|S_{21}|^2$ obtained via the effective Hamiltonian formalism using random matrix theory. The two parameters entering the numerics, $\kappa$ and the decay rate $\tau$ were determined beforehand experimentally. Additionally we verified the relation predicted by Schroeder and Kuttruff for acoustic rooms between the averaged frequency spacing of maximal transmission $\langle\delta f_{max}\rangle$ and the decay rate.