Moro, Antonio and Konopelchenko, Boris (2006) High frequency integrable regimes in nonlocal nonlinear optics. Journal of Geometry and Symmetry in Physics, 7. pp. 37-83. ISSN 1312-5192
Full text not available from this repository.Abstract
We consider an integrable model which describes light beams propagating in nonlocal nonlinear media of Cole-Cole type. The model is derived as high frequency limit of both Maxwell equations and the nonlocal nonlinear Schrödinger equation. We demonstrate that for a general form of nonlinearity there exist self-guided light beams. In high frequency limit nonlocal perturbations can be seen as a class of phase deformation along one direction. We study in detail nonlocal perturbations described by the dispersionless Veselov-Novikov (dVN) hierarchy. The dVN hierarchy is analyzed by the reduction method based on symmetry constraints and by the quasiclassical ∂̄- dressing method. Quasiclassical ∂̄ - dressing method reveals a connection between nonlocal nonlinear geometric optics and the theory of quasiconformal mappings of the plane.
Item Type: | Article |
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Subjects: | F300 Physics |
Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
Depositing User: | Becky Skoyles |
Date Deposited: | 21 Feb 2019 12:58 |
Last Modified: | 10 Oct 2019 23:18 |
URI: | http://nrl.northumbria.ac.uk/id/eprint/38175 |
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