Finite series expansion of a Gaussian beam for the acoustic radiation force calculation of cylindrical particles in water.

Abstract

This paper focuses on studying the interaction between an acoustical Gaussian beam and cylindrical particles. Based on the finite series method, the Gaussian beam is expanded as cylindrical functions and the beam coefficient of a Gaussian beam is obtained. An expression for the acoustic radiation force function that is the radiation force per unit energy density and unit cross-sectional surface area for a cylinder in a Gaussian beam is presented. Numerical results for the radiation force function of a Gaussian beam are presented for rigid cylinders, liquid cylinders, elastic cylinders, and viscoelastic cylinders to illustrate the theory. The radiation force function versus the dimensionless frequency ka (where k is the wave number and a is the radius of the cylinder) are discussed for different beam waists. The simulation results show the differences from those of a plane wave when the beam waist w0≤5λ (where λ is the wave length). The beam waist has no effects on the radiation force function when ka<1, while the beam waist has greater effects when ka>1. The radiation force function reaches the plane wave limit when w0>5λ. The acoustic radiation force function is also determined by the parameters of the particles.