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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2021-04-01
|
| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0049572 |
| Summary: | 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. |
|---|---|
| ISSN: | 2158-3226 |