https://doi.org/10.1140/epjd/e2010-00223-4
Propagation of Cartesian beams in nonlocal nonlinear media
Key Laboratory of Photonic Information Technology of
Guangdong Higher Education Institutes, South China Normal
University, Guangzhou, 510631, P.R. China
Corresponding author: a guoq@scnu.edu.cn.
Received:
16
April
2010
Revised:
8
July
2010
Published online:
8
September
2010
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010
