Multiple Scattering of Acoustical Waves

Citation

McCloskey, David James (1967) Multiple Scattering of Acoustical Waves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HC3V-M545. https://resolver.caltech.edu/CaltechETD:etd-10012002-153230

Abstract

The general theory of the multiple scattering of acoustical waves by a random distribution of isotropic point scatterers is considered. Configurational averages are taken of the equations of multiple scattering and integral equations governing these configurational averages are obtained; the physical consequences of these equations are examined in detail. A complete theoretical picture is obtained of the propagation of the coherent and incoherent radiation and of the connections between the coherent and incoherent contributions to the average sound intensity and current. The problem of the transmission of sound from a plane sound source into a scattering half-space is studied; numerical results are presented for the average sound intensity and current. The reflection of an incident plane wave, inclined at an arbitrary angle to a scattering half-space is considered; an expression for the reflection coefficient, including both the coherent and incoherent reflection of sound, is obtained. The foregoing results are then applied to sound propagation in a liquid containing a large number of small gas bubbles.

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