The Dirac-Delta Rogue Wave
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929254916161536 |
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| author | Fiolhais, Miguel C. N. Ferroglia, Andrea |
| author_facet | Fiolhais, Miguel C. N. Ferroglia, Andrea |
| contents | This paper presents a double spatio-temporal localized Dirac-delta solution for the linear wave equation. The solution arises from the interference of sinusoidal waves with frequencies that vary as a function of the time of emission. It is shown that the time-dependent frequency function required to produce a localized Dirac-delta wave is exclusively determined by the dispersion relation of the medium in which the wave is traveling. Both numerical and exact analytical solutions for a typical physical scenario are obtained and displayed. The application of this result to possible practical uses is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15519 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Dirac-Delta Rogue Wave Fiolhais, Miguel C. N. Ferroglia, Andrea Fluid Dynamics Optics This paper presents a double spatio-temporal localized Dirac-delta solution for the linear wave equation. The solution arises from the interference of sinusoidal waves with frequencies that vary as a function of the time of emission. It is shown that the time-dependent frequency function required to produce a localized Dirac-delta wave is exclusively determined by the dispersion relation of the medium in which the wave is traveling. Both numerical and exact analytical solutions for a typical physical scenario are obtained and displayed. The application of this result to possible practical uses is discussed. |
| title | The Dirac-Delta Rogue Wave |
| topic | Fluid Dynamics Optics |
| url | https://arxiv.org/abs/2402.15519 |