# Statistics of off-diagonal entries of Wigner $K$-matrix for chaotic wave systems with absorption

## TL;DR

This paper derives explicit probability distributions for the off-diagonal entries of the Wigner reaction matrix in chaotic wave systems with absorption, using Random Matrix Theory, applicable to systems with or without time-reversal symmetry.

## Contribution

It provides new explicit formulas for the distributions of off-diagonal Wigner matrix entries in wave chaotic systems with absorption, extending previous results to include absorption effects.

## Key findings

- Explicit distributions for real and imaginary parts of off-diagonal entries derived
- Results applicable to systems with and without time-reversal invariance
- Addresses effects of uniform absorption on wave chaotic scattering

## Abstract

Using the Random Matrix Theory approach we derive explicit distributions of the real and imaginary parts for off-diagonal entries of the Wigner reaction matrix $\mathbf{K}$ for wave chaotic scattering in systems with and without time-reversal invariance, in the presence of an arbitrary uniform absorption.