Intermediate models in nonlinear optics
In this paper, new models are derived for laser propagation in a nonlinear medium. These models are intermediate between nonlinear Maxwell systems and nonlinear Schrodinger equations and are exact in linear cases. We prove rigorous error estimates for a generic class of systems. In the last section,...
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| Veröffentlicht in: | SIAM journal on mathematical analysis 2005, Vol.36 (5), p.1664-1688 |
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| container_end_page | 1688 |
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| container_title | SIAM journal on mathematical analysis |
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| creator | COLIN, Thierry GALLICE, Gérard LAURIOUX, Karen |
| description | In this paper, new models are derived for laser propagation in a nonlinear medium. These models are intermediate between nonlinear Maxwell systems and nonlinear Schrodinger equations and are exact in linear cases. We prove rigorous error estimates for a generic class of systems. In the last section, we perform numerical tests in order to investigate the numerical effectivity of the bounds given by the theorem. We compare for a particular nonlinear system the exact solutions and the approximate solutions given by our new model. It is shown that the new models behave as predicted by the theorem but are even better in some cases. |
| doi_str_mv | 10.1137/S0036141003423065 |
| format | Article |
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| ispartof | SIAM journal on mathematical analysis, 2005, Vol.36 (5), p.1664-1688 |
| issn | 0036-1410 1095-7154 |
| language | eng |
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| source | LOCUS - SIAM's Online Journal Archive |
| subjects | Approximation Exact sciences and technology Geometrical optics Mathematical analysis Mathematics Partial differential equations Propagation Sciences and techniques of general use |
| title | Intermediate models in nonlinear optics |
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