Geometrical optics in nonlinear media and integrable equations [letter]

Konopelchenko, Boris and Moro, Antonio (2004) Geometrical optics in nonlinear media and integrable equations [letter]. Journal of Physics A: Mathematical and General, 37 (10). L105-L111. ISSN 0305-4470

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It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media with slow variation along one axis and particular dependence of the dielectric constant on frequency and fields gives rise to the dispersionless Veselov–Novikov equation for the refractive index. It is demonstrated that the dispersionless Veselov–Novikov hierarchy is amenable to the quasiclassical-dressing method. A connection is noted between the geometrical optics phenomena under consideration and the quasiconformal mappings on the plane.

Item Type: Article
Subjects: G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Becky Skoyles
Date Deposited: 19 Jul 2018 15:00
Last Modified: 11 Oct 2019 19:45

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