Paraxial light in a Cole-Cole nonlocal medium: integrable regimes and singularities

Konopelchenko, Boris and Moro, Antonio (2005) Paraxial light in a Cole-Cole nonlocal medium: integrable regimes and singularities. Proceedings of SPIE, 5949. 59490C. ISSN 0277-786X

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Abstract

Nonlocal nonlinear Schroedinger-type equation is derived as a model to describe paraxial light propagation in nonlinear media with different 'degrees' of nonlocality. High frequency limit of this equation is studied under specific assumptions of Cole-Cole dispersion law and a slow dependence along propagating direction. Phase equations are integrable and they correspond to dispersionless limit of Veselov-Novikov hierarchy. Analysis of compatibility among intensity law (dependence of intensity on the refractive index) and high frequency limit of Poynting vector conservation law reveals the existence of singular wavefronts. It is shown that beams features depend critically on the orientation properties of quasiconformal mappings of the plane. Another class of wavefronts, whatever is intensity law, is provided by harmonic minimal surfaces. Illustrative example is given by helicoid surface. Compatibility with first and third degree nonlocal perturbations and explicit solutions are also discussed.

Item Type:	Article
Subjects:	F300 Physics
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Becky Skoyles
Date Deposited:	20 Jul 2018 09:20
Last Modified:	11 Oct 2019 19:45
URI:	http://nrl.northumbria.ac.uk/id/eprint/35070

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