Acoustic scattering of a high-order Bessel beam by an elastic sphere

Journal Article · Sat Nov 15 04:00:00 EST 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.06.008· OSTI ID:21163680

The exact analytical solution for the scattering of a generalized (or 'hollow') acoustic Bessel beam in water by an elastic sphere centered on the beam is presented. The far-field acoustic scattering field is expressed as a partial wave series involving the scattering angle relative to the beam axis and the half-conical angle of the wave vector components of the generalized Bessel beam. The sphere is assumed to have isotropic elastic material properties so that the nth partial wave amplitude for plane wave scattering is proportional to a known partial-wave coefficient. The transverse acoustic scattering field is investigated versus the dimensionless parameter ka(k is the wave vector, a radius of the sphere) as well as the polar angle {theta} for a specific dimensionless frequency and half-cone angle {beta}. For higher-order generalized beams, the acoustic scattering vanishes in the backward ({theta} = {pi}) and forward ({theta} = 0) directions along the beam axis. Moreover it is possible to suppress the excitation of certain resonances of an elastic sphere by appropriate selection of the generalized Bessel beam parameters.

• OSTI ID: 21163680
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 11 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACOUSTICS
ANALYTICAL SOLUTION
BESSEL FUNCTIONS
PARTIAL WAVES
SCATTERING
SPHERES
VECTORS
WATER
WAVE PROPAGATION