Eigenvalue distributions of large Euclidean random matrices for waves in random media

TL;DR

This paper investigates the eigenvalue distributions of large Euclidean random matrices, both Hermitian and non-Hermitian, which are relevant for understanding wave propagation in random media.

Contribution

It provides a detailed analysis of eigenvalue distributions for Euclidean random matrices used in wave propagation studies in random media.

Findings

Derived probability distributions for eigenvalues of Euclidean random matrices.

Analyzed differences between Hermitian and non-Hermitian cases.

Applicable to modeling wave behavior in complex media.

Abstract

We study probability distributions of eigenvalues of Hermitian and non-Hermitian Euclidean random matrices that are typically encountered in the problems of wave propagation in random media.