TRANSPORT-EQUATIONS FOR WAVES IN A HALF-SPACE

We derive boundary conditions for the phase space energy density of ac oustic waves in a half space, in the high frequency limit. These bound ary conditions generalize the usual reflection-transmission relations for plane waves and are well suited for the study of wave propagation in bounded random media in the radiative transport approximation [15]. The high frequency analysis is based on direct calculations with Four ier integrals in the case of constant coefficients and Wigner measures in general, and it is presented in detail.