Kinetics of scalar wave fields in random media

This paper concerns the derivation of kinetic models for high frequency scalar wave fields propagating in random media. The kinetic equations model the propagation in the phase space of the energy density of a wave field or the correlation function of two wave fields propagating in two possibly different media. Dispersive effects due to, e.g. spatial and temporal discretizations, which are modeled as non-local pseudo-differential operators, are taken into account. The derivation of the models is based on a multiple-scale asymptotic expansion of the spatio-temporal Wigner transform of two scalar wave fields.

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