Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

Abstract

A theoretical framework is developed for scattering of scalar radiation from stationary, threedimensional media with correlation functions of scattering potentials obeying PT -symmetry. It is illustrated that unlike in scattering from deterministic PT symmetric media, its stationary generalization involves two mechanisms leading to symmetry breaking in the statistics of scattered radiation, one stemming from the complex-valued medium realizations and the other -from the complex-valued degree of medium's correlation.