Multiple scattering of acoustic, electromagnetic and elastic waves
Abstract
In this article we present a multiple scattering analysis of the coherent wave propagation through an inhomogeneous medium consisting of either random or periodic distribution of scatterers of arbitrary shape. Both specific and random orientations of the scatterers are considered. The mathematical unity inherently present in the Tmatrix formalism for the three wave fields, namely acoustic, electromagnetic and elastic, is employed in conjunction with suitable averaging procedures to formulate a selfconsistent multiple scattering theory. For a random distribution of scatterers we use a configurational averaging procedure, while for a periodic distribution, we use a suitable lattice sum based on crystallographic theory. The information about the orientation of the scatterers has been incorporated into the Tmatrix of the scatterer itself thus making formalism a convenient computational scheme to study the anisotropic effects in an inhomogeneous medium. The statistically averaged equations obtained by the analysis are then solved by using Lax's quasicrystalline approximation to obtain the bulk or effective properties of the medium. Numerical results are presented for propagation speeds, attenuation and frequency dependent elastic properties for a range of frequencies to demonstrate the broad applicability of the Tmatrix method.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1979
 Bibcode:
 1979STIN...8018275V
 Keywords:

 Acoustic Scattering;
 Elastic Scattering;
 Electromagnetic Scattering;
 Wave Propagation;
 Anisotropy;
 Bessel Functions;
 Matrices (Mathematics);
 Underwater Acoustics;
 Communications and Radar