Journal of Applied Mathematics
Volume 2004 (2004), Issue 1, Pages 85-89
doi:10.1155/S1110757X04306066
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.