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Scattering of a Plane Longitudinal Wave by a Spherical Fluid Obstacle in an Elastic Medium
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1960
Year
AeroacousticsEngineeringSpherical Fluid ObstacleFluid MechanicsWave MotionWave TheoryPhysical AcousticMechanicsPlane Longitudinal WaveExact SolutionsRheologyComputational ElectromagneticsWave PropagationInverse Scattering TransformsUltrasoundElastic MediumScattering Cross SectionWave ScatteringLight ScatteringSpherical Obstacles
The method of Ying and Truell for studying the scattering of longitudinal elastic waves by spherical obstacles is applied to the particular case of scattering by a fluid-filled cavity that is embedded in an isotropic elastic solid. Exact solutions for the expansion coefficients which describe the scattered elastic wave are obtained. The limiting case of ka≪1 (Rayleigh scattering) is considered in detail. A general expression for the scattering cross section is derived.