Multiple scattering of acoustic waves by random distribution of discrete spherical scatterers with the quasicrystalline and Percus–Yevick approximation

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  • L. Tsang
    Department of Electrical Engineering and Remote Sensing Center, Texas A&M University, College Station, Texas 77843
  • J. A. Kong
    Department of Electrical Engineering and Computer Science and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • T. Habashy
    Department of Electrical Engineering and Computer Science and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

書誌事項

公開日
1982-03-01
DOI
  • 10.1121/1.387524
公開者
Acoustical Society of America (ASA)

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説明

<jats:p>In studying the multiple scattering of acoustic waves by random distributions of scatterers with appreciable concentration, the approach of quasicrystalline approximation together with hole correction (QCA–HC) has been a common method. We show that such an approach will give rise to negative attenuation rate indicating a growth of the coherent wave in space which is a nonphysical solution. To derive better results, we employ the solution of the Percus–Yevick equation together with quasicrystalline approximation (QCA–PY) to study multiple scattering of acoustic waves by discrete spherical scatterers. Waterman’s T matrix formalism is used in formulating the multiple scattering problem. Closed form solutions are obtained for the effective propagation constants in the low-frequency limit. Effective propagation constants at higher frequencies are calculated by numerical methods. The result of QCA–HC for the two-dimensional case is also discussed.</jats:p>

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