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

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.

25 pages, 11 figures