Wave scattering properties of multiple weakly-coupled complex systems

TL;DR

This paper extends the Random Coupling Model to multiple coupled complex systems, validating it with experimental data and demonstrating its broad applicability to various physical systems involving wave scattering.

Contribution

The paper introduces a generalized RCM for multiple coupled chaotic enclosures and validates it against experimental data, expanding its applicability.

Findings

Model-generated statistics match experimental data

Good agreement in trans-impedance and voltage distributions

Applicable to various physical wave systems

Abstract

The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable coupling scenarios. The statistical properties of the model-generated quantities are tested against measured data of electrically large multi-cavity systems of various designs. The statistics of model-generated trans-impedance and induced voltages on a load impedance agree well with the experimental results. The RCM coupled chaotic enclosure model is general and can be applied to other physical systems including coupled quantum dots, disordered nanowires, and short-wavelength electromagnetic propagation through rooms in buildings, aircraft and ships.