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| Titel |
Nonlinear evolution of surface gravity waves and optical waves in dispersive materials |
| VerfasserIn |
Maura Brunetti, Nadège Marchiando, Nicolas Berti, Jerome Kasparian, Jean-Pierre Wolf, Martin Beniston |
| Konferenz |
EGU General Assembly 2013
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 15 (2013) |
| Datensatznummer |
250077395
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| Zusammenfassung |
| We exploit the isomorphism between equation sets that govern the evolution of surface
gravity waves and optical waves in dispersive nonlinear materials. This allows us to
write down a generalised system of equations, where the model variables have
different interpretation depending on whether the ocean or the optical material is being
studied.
We use the method of multiple scales (MMS) to systematically eliminate artificially
growing forced terms by imposing secularity conditions that, in turn, lead to the asymptotic
far fields. These asymptotic fields correspond to the evolution of envelope wave packets over
long times and distances, and satisfy the nonlinear Schrödinger equation in the strongly
dispersive, weakly nonlinear limit.
The advantage of MMS with respect to other methods is that it derives the secularity
conditions in a explicit manner requiring few assumptions. We clearly state all the
approximations needed to derive the final isomorphism and we discuss its relevance in optical
experiments with filaments and in the theoretical understanding of extreme events, such rogue
waves in the ocean. |
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