The radial quadrature (RQ) method proposed recently for evaluating the beam shape coefficients (BSCs) of structured light (more exactly, electromagnetic) beams is applied to acoustical beams, based on the strong analogy between the acoustical scattering and light scattering. The BSCs of the scalar field of the acoustical beam are formulated in double integrals. For the on-axis located acoustical beams, which have axisymmetric structures, the integral expressions of the BSCs can be simplified to the closed-forms, thus, allowing efficient calculation. The Gaussian beam and high-order Bessel beam are studied with numerical calculations. The RQ method may serve as an alternative tool in studying the acoustical scattering and relevant applications.
Yu et al. (Fri,) studied this question.