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.
Highlights
The wave field produced when a line or point source is diffracted by an ideal wedge was first given by Macdonald [5] following Poincare [7] in terms of a Fourier-Bessel series some time ago
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
Summary
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
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