We propose a theory of propagation and diffraction of the statistical moments of high-frequency fields in the presence of interfaces, boundaries, or general scattering objects embedded within a medium with weak large-scale random fluctuations. The formulation utilizes the deterministic ray paths and initial conditions of the geometrical theory of diffraction when stochastic effects are omitted to construct initial conditions for ray-centered transport equations governing appropriate statistical measures of the field when stochastic effects are included. The basic principles of the problem strategy are discussed and demonstrated on canonical examples.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics