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Generalized Boundary Condition for Multiple Scatter in Acoustic Reflection
Author(s) -
M. A. Biot
Publication year - 1968
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.1911304
Subject(s) - reflection (computer programming) , anisotropy , boundary (topology) , boundary value problem , rank (graph theory) , tensor (intrinsic definition) , optics , dipole , surface (topology) , wavelength , physics , scattering , mathematical analysis , surface finish , surface roughness , resonance (particle physics) , geometry , computational physics , mathematics , materials science , computer science , quantum mechanics , combinatorics , composite material , programming language
International audienceA boundary condition is developed that generalizes the author's earlier results and embodies the effect of multiple scatter for acoustic reflection on a rough surface. The size of the roughness is assumed to be sufficiently small in comparison with the wavelength. Both induced radiating dipoles and radiating sources are taken into account. The results are further generalized to take into account roughness of various shapes, nonuniform distribution, and anisotropicproperties. The anisotropy represented by a two‐dimensional symmetric tensor of Rank 2. Results open the way to the analysis of combined coherent and incoherent reflection including the cooperative resonance due to multiple scatter

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