Geometrical optics in nonlinear media and integrable equations
Exactly Solvable and Integrable Systems
2009-11-10 v2 Classical Physics
Abstract
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 dielectric constant on the frequency and fields gives rise to the dispersionless Veselov-Novikov equation for refractive index. It is demonstrated that the last one is amenable to the quasiclassical DBAR-dressing method. A connection is noted between geometrical optics phenomena under consideration and quasiconformal mappings on the plane.
Cite
@article{arxiv.nlin/0312069,
title = {Geometrical optics in nonlinear media and integrable equations},
author = {Boris G. Konopelchenko and Antonio Moro},
journal= {arXiv preprint arXiv:nlin/0312069},
year = {2009}
}
Comments
10 pages, misprints corrected