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 email@example.com.
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