Open AccessOptical 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 -
wuli xuebao
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.