Acoustic wave scattering by two dimensional inclusion with irregular shape in an ideal fluid

Abstract

The employment complex variables with mapping function was extended to solve the linear acoustic wave scattering (Helmholtz equation) by an inclusion with sharp/smooth corners in an infinite ideal fluid domain. The improved solutions of Helmholtz equation, shown as Bessel function with mapping function as the argument were analytically obtained. The different geometries of the inclusion with sharp corners based on the proposed mapping function for irregular polygons is studied and discussed. The findings also show that the angle and frequency of the incident waves have significant influence on the bistatic scattering pattern. © 2012 American Institute of Physics.