Susceptibilities in the region of the disorder-induced crossing resonance

Abstract
We study the susceptibility matrix for the system of two wave fields of different nature coupled by a random coupling parameter with zero mean value. It is shown that average properties of the system can be considered within the concept of two effective media that can be introduced in the same real material in order to describe properties of the fields. These two media have different characteristics and are independent in the sense that each of the averaged wave fields propagates through its own effective medium without interaction with the partner wave field. Diagonal components of the susceptibility matrix demonstrate resonance peculiarities caused by an interaction of the averaged wave of one nature with fluctuation waves of another nature. Relations between positions of maxima of the susceptibilities and eigenfrequencies of the system are analyzed for different values of statistical characteristics of the coupling parameter and initial relaxation parameters of the corresponding waves.