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Propagation of Cartesian beams in nonlocal nonlinear media

  • Nonlinear Dynamics
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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.

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Authors and Affiliations

  1. Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal University, Guangzhou, 510631, P.R. China

    D. M. Deng & Q. Guo

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  1. D. M. Deng
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  2. Q. Guo
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Correspondence to Q. Guo.

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Deng, D., Guo, Q. Propagation of Cartesian beams in nonlocal nonlinear media. Eur. Phys. J. D 60, 355–359 (2010). https://doi.org/10.1140/epjd/e2010-00223-4

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  • DOI: https://doi.org/10.1140/epjd/e2010-00223-4

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