Generalized Berry Conjecture and mode correlations in chaotic plates

TL;DR

This paper generalizes the Berry Conjecture to heterogeneous wave systems, proposing a new eigenmode correlation model applicable to complex structures and deriving expressions relevant to recent experimental observations.

Contribution

It introduces a generalized eigenmode correlation conjecture applicable to heterogeneous systems, extending previous scalar wave models to complex, real-world structures.

Findings

Eigenmode correlator proportional to the imaginary part of Green's function

Derived intensity correlator expressions for chaotic plates

Applicable to arbitrary points in heterogeneous systems

Abstract

We consider a modification of the Berry Conjecture for eigenmode statistics in wave-bearing systems. The eigenmode correlator is conjectured to be proportional to the imaginary part of the Green's function. The generalization is applicable not only to scalar waves in the interior of homogeneous isotropic systems where the correlator is a Bessel function, but to arbitrary points of heterogeneous systems as well. In view of recent experimental measurements, expressions for the intensity correlator in chaotic plates are derived.