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

Peter S. Shapovalov; Ivan L. Garanovich

doi:10.1117/12.583477

24 September 2004 Interaction of two-dimensional Gaussian pulses in the media with cubic nonlinearity and negative dispersion

Peter S. Shapovalov, Ivan L. Garanovich

Author Affiliations +

Proceedings Volume 5582, Advanced Optoelectronics and Lasers; (2004) https://doi.org/10.1117/12.583477
Event: 2003 Chapter books, 2003, Bellingham, WA, United States

Abstract

Interaction of two coaxial Gaussian pulses of different frequencies simultaneously propagating in the media with cubic nonlinearity and anomalous group velocity dispersion is considered in the case of two spatial dimensions: one transverse spatial 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 Srodinger equations with the ansatz in the form of two Gaussian pulses the same center. Different possible modes of propagation are investigated and key parameters defining their limits are found. It is shown that nonlinear interaction results in the complicated non-trivial effects in the interaction of the simultaneously propagating pulses.

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Peter S. Shapovalov and Ivan L. Garanovich "Interaction of two-dimensional Gaussian pulses in the media with cubic nonlinearity and negative dispersion", Proc. SPIE 5582, Advanced Optoelectronics and Lasers, (24 September 2004); https://doi.org/10.1117/12.583477

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