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- W2036769259 abstract "Exact solutions are available for the scattering of sound by spheres placed on the axis of certain types of acoustic beams. In the case of an acoustic Bessel beam the scattering for various elastic spheres is greatly modified relative to the standard case of plane-wave illumination [P. L. Marston, J. Acoust. Soc. Am. 122, 247–252 (2007)]. Symmetry and geometric considerations explain why selected sphere modes can be suppressed in a way that depends on the Bessel beam parameters. The quasi-Gaussian case is treated by an appropriate superposition of zero-order Bessel beams displaying the focal properties of a Gaussian beam [P. L. Marston, submitted]. This superposition, unlike the case of a paraxial Gaussian beam, is an exact solution of the Helmholtz equation. The sphere is centered on the focal point of the beam and the scattering follows by superposition from the Bessel beam case. While not prone to suppress specific modes of the sphere, the quasi-Gaussian case can also modify the scattering for a wide range of beam parameters and frequencies. Mode amplitudes are modified by a function depending on a ratio of incomplete gamma functions and the size of the focus of the beam. [Work supported by ONR.]" @default.
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- W2036769259 date "2011-04-01" @default.
- W2036769259 modified "2023-09-25" @default.
- W2036769259 title "Scattering of acoustic quasi‐Gaussian beams and Bessel beams by fluid‐loaded spheres: Exact solutions and physical interpretation." @default.
- W2036769259 doi "https://doi.org/10.1121/1.3587741" @default.
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