Surface gravity waves on randomly irregular floor and the telegrapher’s equation
The simplest model for the evolution of the mean-value of a surface gravity wave propagating in a random bottom has been connected with the telegrapher’s equation. This analysis is based on the comparison of the mean-value solution of dispersive plane-wave modes propagating in a binary exponential-c...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2021-04-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0049572 |
| _version_ | 1818641196582436864 |
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| author | Manuel O. Cáceres |
| author_facet | Manuel O. Cáceres |
| author_sort | Manuel O. Cáceres |
| collection | DOAJ |
| description | The simplest model for the evolution of the mean-value of a surface gravity wave propagating in a random bottom has been connected with the telegrapher’s equation. This analysis is based on the comparison of the mean-value solution of dispersive plane-wave modes propagating in a binary exponential-correlated disordered floor with the solution of the homogeneous telegrapher’s equation. Analytical results for the exact dispersion-relation are presented. In addition, the time-dependent analysis of mean-value monochromatic waves is also shown. |
| first_indexed | 2024-12-16T23:23:19Z |
| format | Article |
| id | doaj.art-ae8d0c3df6a5438d886a102e12fe8d6b |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-16T23:23:19Z |
| publishDate | 2021-04-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-ae8d0c3df6a5438d886a102e12fe8d6b2022-12-21T22:12:07ZengAIP Publishing LLCAIP Advances2158-32262021-04-01114045218045218-510.1063/5.0049572Surface gravity waves on randomly irregular floor and the telegrapher’s equationManuel O. Cáceres0Comision Nacional de Energía Atómica, Centro Atómico Bariloche and Instituto Balseiro, Universidad Nacional de Cuyo, Av. E. Bustillo 9500, CP8400 Bariloche, Argentina and CONICET, Centro Atómico Bariloche, Av. E. Bustillo 9500, CP8400 Bariloche, ArgentinaThe simplest model for the evolution of the mean-value of a surface gravity wave propagating in a random bottom has been connected with the telegrapher’s equation. This analysis is based on the comparison of the mean-value solution of dispersive plane-wave modes propagating in a binary exponential-correlated disordered floor with the solution of the homogeneous telegrapher’s equation. Analytical results for the exact dispersion-relation are presented. In addition, the time-dependent analysis of mean-value monochromatic waves is also shown.http://dx.doi.org/10.1063/5.0049572 |
| spellingShingle | Manuel O. Cáceres Surface gravity waves on randomly irregular floor and the telegrapher’s equation AIP Advances |
| title | Surface gravity waves on randomly irregular floor and the telegrapher’s equation |
| title_full | Surface gravity waves on randomly irregular floor and the telegrapher’s equation |
| title_fullStr | Surface gravity waves on randomly irregular floor and the telegrapher’s equation |
| title_full_unstemmed | Surface gravity waves on randomly irregular floor and the telegrapher’s equation |
| title_short | Surface gravity waves on randomly irregular floor and the telegrapher’s equation |
| title_sort | surface gravity waves on randomly irregular floor and the telegrapher s equation |
| url | http://dx.doi.org/10.1063/5.0049572 |
| work_keys_str_mv | AT manuelocaceres surfacegravitywavesonrandomlyirregularfloorandthetelegraphersequation |