Acoustic Plane Wave Diffraction by an Aperture in a Soft Infinite Screen

Abstract

The problem of axially symmetric acoustic plane wave diffraction on an aperture in a soft infinite screen is considered. The scattered velocity potential is presented as a series of eigenfunctions of the Helmholtz equation in each separated region. The pertinent scattering problem is reduced to the second kind infinite system of linear algebraic equations (ISLAE) by employing the continuity conditions, the orthogonality properties of the Legendre functions, and the analytical regularization procedure. This ISLAE allows for obtaining the solution with the desired accuracy by means of the truncation method. Near field maps in terms of normalized total field are given. The validity of numerical calculations is established by the verification of the continuity conditions.