Predicting the statistics of wave transport through chaotic cavities by the Random Coupling Model: a review and recent progress

TL;DR

This review discusses the Random Coupling Model, which combines wave chaos theory and statistical methods to predict wave transport statistics in chaotic cavities, with recent progress and interdisciplinary connections.

Contribution

It provides a comprehensive overview of the Random Coupling Model, highlighting recent advancements and its relation to other statistical approaches across various fields.

Findings

The model effectively describes wave coupling in chaotic enclosures.

It extends classical modal descriptions using wave chaos theory.

Connections to acoustics, optics, and electromagnetics are established.

Abstract

In this review, a model (the Random Coupling Model) that gives a statistical description of the coupling of radiation into and out of large enclosures through localized and/or distributed channels is presented. The Random Coupling Model combines both deterministic and statistical phenomena. The model makes use of wave chaos theory to extend the classical modal description of the cavity fields in the presence of boundaries that lead to chaotic ray trajectories. The model is based on a clear separation between the universal statistical behavior of the isolated chaotic system, and the deterministic coupling channel characteristics. Moreover, the ability of the random coupling model to describe interconnected cavities, aperture coupling, and the effects of short ray trajectories is discussed. A relation between the random coupling model and other formulations adopted in acoustics, optics, and statistical electromagnetics, is examined. In particular, a rigorous analogy of the random coupling model with the Statistical Energy Analysis used in acoustics is presented.