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

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.