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 $⟨\delta f_{max}⟩$ and the decay rate.

arXiv comment4 pages, 6 figures

References in corpus (4)

• Random Matrix Theories in Quantum Physics: Common Concepts
• A review of progress in the physics of open quantum systems: theory and experiment
• Statistics of the electromagnetic response of a chaotic reverberation chamber
• Lossy chaotic electromagnetic reverberation chambers: Universal statistical behavior of the vectorial field

Cited by in corpus (3)

• Wave Chaos in a Cavity of Regular Geometry with Tunable Boundaries
• Uncorrelated Configurations and Field Uniformity in Reverberation Chambers Stirred by Tunable Metasurfaces
• Refining the Experimental Extraction of the Number of Independent Samples in a Mode-Stirred Reverberation Chamber