Journal of Applied Mathematics
Volume 2004 (2004), Issue 1, Pages 85-89
doi:10.1155/S1110757X04306066
A note on point source diffraction by a wedge
Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UK
Received 18 June 2003
Copyright © 2004 A. D. Rawlins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The object of this paper is to give new expressions for the wave
field produced when a time harmonic point source is diffracted by
a wedge with Dirichlet or Neumann boundary conditions on its
faces. The representation of the total field is expressed in
terms of quadratures of elementary functions, rather than Bessel
functions, which is usual in the literature. An analogous
expression is given for the three-dimensional free-space Green's
function.