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 for wave chaotic scattering in systems with and without time-reversal invariance, in the presence of an arbitrary uniform absorption. Whereas for time-reversal invariant system () the scattering channels are assumed to be random and orthogonal on average, for broken time-reversal () we consider the case of nontrivially correlated channel vectors.