Predicting Statistical Wave Physics in Complex Enclosures: A Stochastic Dyadic Green's Function Approach

Abstract

This article presents a physics-oriented, mathematically tractable, statistical wave model for analyzing the wave physics of high-frequency reverberation in complex cavity environments. The key ingredient is a vector dyadic stochastic Green's function (SGF) method that is derived from the Wigner's random matrix theory and Berry's random wave hypothesis. The SGF statistically replicates multipath, ray-chaotic communication between vector sources and vectorial electromagnetic fields at displaced observation points using generic, macroscopic parameters of the cavity environment. The work establishes a physics-based modeling and simulation capability that predicts the probabilistic behavior of backdoor coupling to complex electronic enclosures. Experimental results are supplied to validate the proposed work.