Crossing resonance of two wave fields in disordered media

The interaction of two wave fields of different nature in a disordered medium with an arbitrary relation between the mean value P and rms fluctuation $\lambda$ of the coupling parameter is studied. A significant reconstruction of the eigenfrequencies, damping parameters, and susceptibilities of the system occurs when the situation changes from the model of a homogeneous medium $(P\ne 0,\hspace{0.5em}\lambda =0)$ to the model of the disorder-induced crossing resonance $(P=0,\hspace{0.5em}\lambda \ne 0).$ The concept of two effective media in the same material, which was introduced for the latter model in earlier work, is extended here to the case $P\ne 0.$