Transport Equations for Waves in a Half Space

نویسندگان

  • Leonid Ryzhik
  • George C. Papanicolaou
چکیده

We derive boundary conditions for the phase space energy density of acoustic waves in a half space, in the high frequency limit. These boundary conditions generalize the usual re ection-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 Fourier integrals in the case of constant coe cients and Wigner measures in general, and it is presented in detail.

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تاریخ انتشار 1997