Efficient numerical evaluation of the Kirchhoff field scattered from a hollow circular cylinder

Abstract

A convenient and simple algorithm is derived for computing the Kirchhoff approximation for the field scattered by an acoustically hard tubular obstacle. Special Weber function evaluations are explicitly avoided through the use of the fast Fourier transforms (FFT) approximation for Fourier coefficients. Selected scattered diagram predictions are contrasted with the accurate solution of the Neumann boundary value problem.