A note on point source diffraction by a wedge
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,...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04306066 |
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| _version_ | 1849434917786615808 |
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| author | A. D. Rawlins |
| author_facet | A. D. Rawlins |
| author_sort | A. D. Rawlins |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dded0e5af0ac4a72accbefa572a610df |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dded0e5af0ac4a72accbefa572a610df2025-08-20T03:26:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-0120041858910.1155/S1110757X04306066A note on point source diffraction by a wedgeA. D. Rawlins0Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UKThe 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.http://dx.doi.org/10.1155/S1110757X04306066 |
| spellingShingle | A. D. Rawlins A note on point source diffraction by a wedge Journal of Applied Mathematics |
| title | A note on point source diffraction by a wedge |
| title_full | A note on point source diffraction by a wedge |
| title_fullStr | A note on point source diffraction by a wedge |
| title_full_unstemmed | A note on point source diffraction by a wedge |
| title_short | A note on point source diffraction by a wedge |
| title_sort | note on point source diffraction by a wedge |
| url | http://dx.doi.org/10.1155/S1110757X04306066 |
| work_keys_str_mv | AT adrawlins anoteonpointsourcediffractionbyawedge AT adrawlins noteonpointsourcediffractionbyawedge |