High-frequency limit of the Maxwell-Landau-Lifshitz equations in the diffractive optics regime*
We study the Maxwell-Landau-Lifshitz system for highly oscillating initial data, with characteristic frequencies O(1 / ε) and amplitude O(1), over long time intervals O(1 / ε), in the limit ε → 0. We show that a nonlinear Schrödinger equation gives a good approximation for the envelope of the soluti...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2012-04-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201235023 |