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An investigation into the use of the method of spherical currents for the determination of scattered wave fields
In this thesis an approximation method, the method of spherical currents, is advanced for the determination of scattered fields (acoustic and electromagnetic) from convex bodies for plane harmonic incident waves. The method is worked out for the scalar (acoustic) case and applied to sound soft and s...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2016
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| _version_ | 1867613258923376640 |
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| access_status_str | Open Access |
| author | Du Plessis, N M |
| author2 | Brundrit, Geoff |
| author_browse | Brundrit, Geoff Du Plessis, N M |
| author_facet | Brundrit, Geoff Du Plessis, N M |
| author_sort | Du Plessis, N M |
| collection | Thesis |
| description | In this thesis an approximation method, the method of spherical currents, is advanced for the determination of scattered fields (acoustic and electromagnetic) from convex bodies for plane harmonic incident waves. The method is worked out for the scalar (acoustic) case and applied to sound soft and sound hard obstacles of a given shape. The surface fields and backscattering cross sections of these obstacles are calculated according to the method and the results are compared with those of other methods. For the vector (electromagnetic) case only the basic theory is worked out for a perfectly conducting convex body. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/18249 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:17.409Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/18249 An investigation into the use of the method of spherical currents for the determination of scattered wave fields Du Plessis, N M Brundrit, Geoff Applied Mathematics In this thesis an approximation method, the method of spherical currents, is advanced for the determination of scattered fields (acoustic and electromagnetic) from convex bodies for plane harmonic incident waves. The method is worked out for the scalar (acoustic) case and applied to sound soft and sound hard obstacles of a given shape. The surface fields and backscattering cross sections of these obstacles are calculated according to the method and the results are compared with those of other methods. For the vector (electromagnetic) case only the basic theory is worked out for a perfectly conducting convex body. 2016-03-28T14:25:45Z 2016-03-28T14:25:45Z 1976 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/18249 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Du Plessis, N M An investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| thesis_degree_str | Doctoral |
| title | An investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| title_full | An investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| title_fullStr | An investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| title_full_unstemmed | An investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| title_short | An investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| title_sort | investigation into the use of the method of spherical currents for the determination of scattered wave fields |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/18249 |
| work_keys_str_mv | AT duplessisnm aninvestigationintotheuseofthemethodofsphericalcurrentsforthedeterminationofscatteredwavefields AT duplessisnm investigationintotheuseofthemethodofsphericalcurrentsforthedeterminationofscatteredwavefields |