Wave propagation along periodic layers
Solutions for waves travelling transversely in a layered medium satisfy an exact recurrence relation when the transit time across each of the layers is the same. Using such solutions in an alternating-direction splitting method, high accuracy solutions can also be computed for wave propagation par...
| প্রধান লেখক: | , , |
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| বিন্যাস: | Journal article |
| প্রকাশিত: |
Society for Industrial and Applied Mathematics
2018
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| _version_ | 1826302911879053312 |
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| author | Farmer, C Ockendon, H Ockendon, J |
| author_facet | Farmer, C Ockendon, H Ockendon, J |
| author_sort | Farmer, C |
| collection | OXFORD |
| description | Solutions for waves travelling transversely in a layered medium satisfy an exact recurrence relation when the transit time across each of the layers is the same. Using such solutions in an alternating-direction splitting method, high accuracy solutions can also be computed for wave propagation parallel to the layers. An asymptotic analysis uncovers the remarkable result that dispersion of waves parallel to the layers is very similar to the dispersion observed in the transverse case. This result is confirmed by the numerical solutions. The results are in general agreement with similar observations reported in the literature using di↵erent numerical and analytical methods. |
| first_indexed | 2024-03-07T05:54:38Z |
| format | Journal article |
| id | oxford-uuid:ea1b5b04-99e9-45a9-af47-8a5189dba3f0 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:54:38Z |
| publishDate | 2018 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:ea1b5b04-99e9-45a9-af47-8a5189dba3f02022-03-27T10:59:18ZWave propagation along periodic layersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ea1b5b04-99e9-45a9-af47-8a5189dba3f0Symplectic Elements at OxfordSociety for Industrial and Applied Mathematics2018Farmer, COckendon, HOckendon, JSolutions for waves travelling transversely in a layered medium satisfy an exact recurrence relation when the transit time across each of the layers is the same. Using such solutions in an alternating-direction splitting method, high accuracy solutions can also be computed for wave propagation parallel to the layers. An asymptotic analysis uncovers the remarkable result that dispersion of waves parallel to the layers is very similar to the dispersion observed in the transverse case. This result is confirmed by the numerical solutions. The results are in general agreement with similar observations reported in the literature using di↵erent numerical and analytical methods. |
| spellingShingle | Farmer, C Ockendon, H Ockendon, J Wave propagation along periodic layers |
| title | Wave propagation along periodic layers |
| title_full | Wave propagation along periodic layers |
| title_fullStr | Wave propagation along periodic layers |
| title_full_unstemmed | Wave propagation along periodic layers |
| title_short | Wave propagation along periodic layers |
| title_sort | wave propagation along periodic layers |
| work_keys_str_mv | AT farmerc wavepropagationalongperiodiclayers AT ockendonh wavepropagationalongperiodiclayers AT ockendonj wavepropagationalongperiodiclayers |