Planar spatiotemporal solitons in a quadratic nonlinear medium


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Abstract

The averaged Lagrangian method has been used to derive an analytical solution in the form of planar light bullets for the system of equations describing the second-harmonic generation in a medium with anomalous dispersion. The stability of this solution is confirmed by the simulation for different relations between the nonlinearity, diffraction, and dispersion in the cases of input pulses at both frequencies and at only the fundamental frequency.

About the authors

S. V. Sazonov

National Research Centre “Kurchatov Institute”

Author for correspondence.
Email: sazonov.sergey@gmail.com
Russian Federation, pl. akademika Kurchatova 1, Moscow, 123182

M. S. Mamaikin

Faculty of Physics

Email: sazonov.sergey@gmail.com
Russian Federation, Leninskie Gory 1, str. 2, Moscow, 119991

I. G. Zakharova

Faculty of Physics

Email: sazonov.sergey@gmail.com
Russian Federation, Leninskie Gory 1, str. 2, Moscow, 119991

M. V. Komissarova

Faculty of Physics

Email: sazonov.sergey@gmail.com
Russian Federation, Leninskie Gory 1, str. 2, Moscow, 119991

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