Optical beams in nonlocal nonlinear media: A variational solution of the Laguerre-Gauss form | Zendy

Dai Ji-Hui | Zendy; Qi Guo | Zendy

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Optical beams in nonlocal nonlinear media: A variational solution of the Laguerre-Gauss form

Author(s) -

Dai Ji-Hui,

Qi Guo

Publication year - 2008

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.57.5001

Subject(s) - laguerre polynomials , ansatz , gauss , physics , nonlinear system , variational method , gaussian , beam (structure) , mathematical analysis , classical mechanics , mathematical physics , optics , mathematics , quantum mechanics

The 1+2D nonlocal nonlinear Schrdinger equation can be transformed to the variational approach in a cylindrical coordinate system, and is applied to a model describing the propagation of optical beam in strongly nonlocal nonlinear media. By solving variational problems with expanding media response functions and assuming reasonable ansatz, the solution of the Laguerre-Gauss form is obtained. The Laguerre-Gaussian beams will form solitons or be reduced to Gaussian beams under certain conditions.

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