Acoustic scattering by a rigid sphere in the field of waves emanating from a circular concave radiator

Abstract

This paper presents a new method for calculating the velocity potential q) of scattered ultrasonic waves from a rigid sphere placed in the field of waves emanating from a circular concave radiator in an infinite baffle. The solution q) is given in the form of an infinite series of spherical surface harmonics as a function of reduced quantities ka, krc, kb, kzo, etc., where k is the wave number, a is the radius of the circular concave vibrator, rc is the radius of curvature of it, b is the radius of the sphere, and Zo is the distance from the piston to the center of the sphere. The present theoretical framework has the advantages that it includes no numerical integrations and that it is applicable to elastic or compressible sphere cases with slight modifications of the boundary conditions.

V(Z) curve formation of solid spherical microparticles in scanning acoustic microscopy

“…1) Eq. (1 3) can be calculated by the recurrence formulas (Hazegawa et al, 1987(Hazegawa et al, , 1992. For the Gaussian beam the scattering coefficients were also describes the V(Z) curves (Fraunhofer approximation) for elastic spherical particles.…”

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

“…To this end, the acoustic scattering from a spherical particle has only been examined for finite beams generated from circular plane [20,23] and focused radiators [24,25] with uniform vibration, and infinite Bessel beams [26][27][28][29][30][31][32]. However, considering the fact that practically every acoustic source (except a point source radiating omnidirectional waves) produces a finite beam, it is necessary to investigate the scattering of a Bessel beam generated from a finite aperture by a sphere.…”