Underwater acoustic scattering of Bessel beam by spherical shell using T-matrix method

Abstract

The Bessel beam has been proved to show several advantages over the plane wave for its superior characteristics, including nondiffraction and self-reconstruction properties. The Bessel beam is characterized by an important parameter, called the half-conical angle, which describes the angle of the planar wave components of the beam relative to the beam axis. In this research paper, the T-matrix method (TMM) is combined with a Bessel beam to compute the acoustic scattering field. The backscattering form functions of a tungsten carbide sphere and a steel spherical shell are calculated and curved as a function of dimensionless frequency. Several Rayleigh resonance patterns are depicted to further confirm the orders of resonance. By selecting appropriate half-conical angles, several corresponding resonances can be suppressed and this phenomenon may have some potential value in practical applications.