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The European Physical Journal D

, Volume 60, Issue 2, pp 355–359 | Cite as

Propagation of Cartesian beams in nonlocal nonlinear media

Nonlinear Dynamics

Abstract

We introduce a very general self-trapped beam solution of the Snyder-Mitchell linear model in Cartesian coordinates. We name such a field a self-trapped Cartesian beam (CB) which is characterized by two parameters. The complex amplitude of the self-trapped CBs is described by the product of the parabolic cylinder functions and the Gaussian function. The self-trapped standard, elegant, and generalized Hermite-Gaussian beams can be obtained by treating them as the special cases of the self-trapped CBs.

Keywords

Soliton Nematic Liquid Crystal Beam Center General Analytical Solution Parabolic Cylinder Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal UniversityGuangzhouP.R. China

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