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Propagation of guided waves through weak penetrable scatterers

Agnes Maurel 1 Jean-François Mercier 2
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : The scattering of a scalar wave propagating in a waveguide containing weak penetrable scatterers is inspected in the Born approximation. The scatterers are of arbitrary shape and present a contrast both in density and in wavespeed (or bulk modulus), a situation that can be translated in the context of SH waves, water waves, or transverse electric/transverse magnetic polarized electromagnetic waves. For small size inclusions compared to the waveguide height, analytical expressions of the transmission and reflection coefficients are derived, and compared to results of direct numerical simulations. The cases of periodically and randomly distributed inclusions are considered in more detail, and compared with unbounded propagation through inclusions. Comparisons with previous results valid in the low frequency regime are proposed. © 2012 Acoustical Society of America.
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Submitted on : Friday, August 30, 2013 - 9:55:56 AM
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Agnes Maurel, Jean-François Mercier. Propagation of guided waves through weak penetrable scatterers. Journal of the Acoustical Society of America, Acoustical Society of America, 2012, 131 (3), pp.1874-1889. ⟨10.1121/1.3682037⟩. ⟨hal-00849564⟩



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