Diffusive energy scattering from weakly random surfaces

We derive transport theoretic boundary conditions for acoustic wave reflection at a weakly rough boundary in an inhomogeneous half space. We use the Wigner distribution to go from waves to energy transport in the high frequency limit. We generalize known results on the reflection of acoustic plane waves in a homogeneous medium. We analyze higher order corrections, which include a enhanced backscattering effect in the back direction.

[1]  William Grimson,et al.  Object recognition by computer - the role of geometric constraints , 1991 .

[2]  G. Rybicki.  Radiative transfer , 2019, Climate Change and Terrestrial Ecosystem Modeling.

[3]  Joseph B. Keller,et al.  Rough surface scattering via the smoothing method , 1983 .

[4]  A. Voronovich.  Wave Scattering from Rough Surfaces , 1994 .

[5]  V. Twersky,et al.  On Scattering and Reflection of Sound by Rough Surfaces , 1957 .

[6]  George Papanicolaou,et al.  Transport equations for elastic and other waves in random media , 1996 .

[7]  P. Sheng,et al.  Introduction to Wave Scattering, Localization and Mesoscopic Phenomena. Second edition , 1995 .

[8]  Luc Miller.  Réfraction d'ondes semi-classiques par des interfaces franches , 1997 .

[9]  A. Maradudin,et al.  Enhanced backscattering of light from weakly rough, random metal surfaces. , 1993, Applied optics.

[10]  Guillaume Bal,et al.  Transport theory for acoustic waves with reflection and transmission at interfaces , 1999 .

[11]  F. Bass,et al.  Wave scattering from statistically rough surfaces , 1979 .

[12]  H. Ogura,et al.  Wave scattering from a random rough surface: reciprocal theorem and backscattering enhancement , 1995 .

[13]  Gary S. Brown,et al.  I Analytical Techniques for Multiple Scattering from Rough Surfaces , 1986 .

[14]  Joseph B. Keller,et al.  ASYMPTOTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: THE REDUCED WAVE EQUATION AND MAXWELL'S EQUATION , 1995 .

[15]  Luc Miller.  Propagation d'ondes semi-classiques a travers une interface et mesures 2-microlocales , 1996 .

[16]  P. Markowich,et al.  Homogenization limits and Wigner transforms , 1997 .

[17]  B. Keller,et al.  Transport equations for waves in a half Space , 1997 .

[18]  Scattering of a scalar wave from a two-dimensional randomly rough Neumann surface , 1995 .