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Water-wave propagation through an infinite array of cylindrical structures
An investigation is made into water-wave propagation through an array of vertical cylinders extending to infinity and periodic in both horizontal directions. Methods are presented for the calculation of the frequency ranges for which wave propagation without change of amplitude is possible ('pa...
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| Format: | Default Preprint |
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1999
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| Online Access: | https://hdl.handle.net/2134/837 |
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| _version_ | 1818175433316761600 |
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| author | Philip McIver |
| author_facet | Philip McIver |
| author_sort | Philip McIver (1257924) |
| collection | Figshare |
| description | An investigation is made into water-wave propagation through an array of vertical cylinders extending to infinity and periodic in both horizontal directions. Methods are presented for the calculation of the frequency ranges for which wave propagation without change of amplitude is possible ('passing bands'), and for which propagation without change of amplitude is not possible ('stopping bands'). Some of the techniques may be used to determine the change of wave amplitude for frequencies within the stopping bands. Approximate and numerical techniques are used to show how this infinite-array problem is related to trapped modes, Rayleigh-Bloch waves, and the problem of wave diffraction by a grating made up of a finite number of cylinder rows. |
| format | Default Preprint |
| id | rr-article-9384440 |
| institution | Loughborough University |
| publishDate | 1999 |
| record_format | Figshare |
| spelling | rr-article-93844401999-01-01T00:00:00Z Water-wave propagation through an infinite array of cylindrical structures Philip McIver (1257924) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified An investigation is made into water-wave propagation through an array of vertical cylinders extending to infinity and periodic in both horizontal directions. Methods are presented for the calculation of the frequency ranges for which wave propagation without change of amplitude is possible ('passing bands'), and for which propagation without change of amplitude is not possible ('stopping bands'). Some of the techniques may be used to determine the change of wave amplitude for frequencies within the stopping bands. Approximate and numerical techniques are used to show how this infinite-array problem is related to trapped modes, Rayleigh-Bloch waves, and the problem of wave diffraction by a grating made up of a finite number of cylinder rows. 1999-01-01T00:00:00Z Text Preprint 2134/837 https://figshare.com/articles/preprint/Water-wave_propagation_through_an_infinite_array_of_cylindrical_structures/9384440 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Philip McIver Water-wave propagation through an infinite array of cylindrical structures |
| title | Water-wave propagation through an infinite array of cylindrical structures |
| title_full | Water-wave propagation through an infinite array of cylindrical structures |
| title_fullStr | Water-wave propagation through an infinite array of cylindrical structures |
| title_full_unstemmed | Water-wave propagation through an infinite array of cylindrical structures |
| title_short | Water-wave propagation through an infinite array of cylindrical structures |
| title_sort | water-wave propagation through an infinite array of cylindrical structures |
| topic | Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/837 |