Interaction of two-dimensional Gaussian pulses in the media with cubic nonlinearity and negative dispersion

Author

Shapovalov, Peter S. ; Garanovich, Ivan L.

Author_Institution

Inst. of Appl. Opt., Nat. Acad. of Sci. of Belarus, Mogilev

Volume

2

fYear

2003

fDate

16-20 Sept. 2003

Abstract

Interaction of two Gaussian pulses propagating in the media with cubic nonlinearity and negative group velocity dispersion is investigated in the case of one transverse dimension and one longitudinal dimension for the propagation axis. Variational approach (the so-called average Lagrangian method) is applied to the set of two coupled nonlinear Schrodinger equations with the ansatz in the form of two Gaussian pulses with the same center. It is shown that initial pulses collapse at the same point when propagating in the oscillation regime and at different points when propagating in the monotonous one. It is confirmed numerically that all the results are preserved when the group velocity coefficients are essentially different

Keywords

Schrodinger equation; laser beams; nonlinear media; nonlinear optics; optical dispersion; Gaussian pulses propagation; average Lagrangian method; cubic nonlinearity dispersion; group velocity coefficient; negative group velocity dispersion; nonlinear Schrodinger equation; oscillation regime; two-dimensional Gaussian pulse interaction; Couplings; Information technology; Lagrangian functions; Nonlinear optics; Optical propagation; Optical pulse shaping; Optical pulses; Schrodinger equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Optoelectronics and Lasers, 2003. Proceedings of CAOL 2003. First International Conference on

Conference_Location

Alushta, Crimea

Print_ISBN

0-7803-7948-9

Type

conf

DOI

10.1109/CAOL.2003.1251266

Filename

1251266