High frequency integrable regimes in nonlocal nonlinear optics

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

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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
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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