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Proceedings Paper

Paraxial light in a Cole-Cole nonlocal medium: integrable regimes and singularities
Author(s): Boris Konopelchenko; Antonio Moro
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Paper 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.

Paper Details

Date Published: 5 October 2005
PDF: 12 pages
Proc. SPIE 5949, Nonlinear Optics Applications, 59490C (5 October 2005); doi: 10.1117/12.621824
Show Author Affiliations
Boris Konopelchenko, Univ. di Lecce (Italy)
INFN, Sezione di Lecce (Italy)
Antonio Moro, Univ. di Lecce (Italy)
INFN, Sezione di Lecce (Italy)

Published in SPIE Proceedings Vol. 5949:
Nonlinear Optics Applications
Miroslaw A. Karpierz; Allan Dawson Boardman; George I. Stegeman, Editor(s)

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