NDLI: Near-field acoustic resonance scattering of a finite bessel beam by an elastic sphere

Content Provider	IEEE Xplore Digital Library
Author	Mitri, F.
Copyright Year	1986
Abstract	The near-field acoustic scattering from a sphere centered on the axis of a finite Bessel acoustic beam is derived stemming from the Rayleigh-Sommerfeld diffraction surface integral and the addition theorems for the spherical wave and Legendre functions. The beam emerges from a finite circular disk vibrating according to one of its radial modes corresponding to the fundamental solution of a Bessel beam J0. The incident pressure field's expression is derived analytically as a partial-wave series expansion, taking into account the finite size and the distance from the center of the disk transducer. Initially, the scattered pressure by a rigid sphere is evaluated, and backscattering pressure moduli plots as well as 3-D directivity patterns for an elastic PMMA sphere centered on a finite Bessel beam with appropriate tuning of its half-cone angle reveal possible resonance suppression of the sphere only in the zone near the Bessel transducer. Moreover, the analysis is extended to derive the mean spatial incident and scattered pressures at the surface of a rigid circular receiver of infinitesimal thickness. The transducer, sphere, and receiver are assumed to be coaxial. Some applications can result from the present analysis because all physically realizable Bessel beam sources radiate finite sound beams as opposed to waves of infinite extent.
Starting Page	696
Ending Page	704
Page Count	9
File Size	8334585
File Format	PDF
ISSN	08853010
Volume Number	61
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Acoustic beams Scattering Transducers Acoustics Backscatter Vibrations Solids
Content Type	Text
Resource Type	Article
Subject	Acoustics and Ultrasonics Instrumentation Electrical and Electronic Engineering

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