Planar spatiotemporal solitons in a quadratic nonlinear medium

Сазонов, С. В.; Mamaikin, Mikhail; Zakharova, Irina G.; Komissarova, Maria V.

doi:10.3103/s1541308x17020017

Cited by 9 publications

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“…The present study of light bullets in a planar waveguide at quadratic nonlinearity is undertaken as a logical continuation of our previous investigations for homogeneous media [8, 9]. A crucial role of the competition between quadratic nonlinearity, dispersion, diffraction and inhomogeneity was discussed shortly in [10, 11].…”

Section: Introductionmentioning

confidence: 89%

“…Spatio-temporal solitons, called also light bullets, were carefully studied either theoretically or experimentally by numerous researchers [4, 6, 7]. Recently, in [8, 9] we presented a detailed theory of breathing light bullets in a homogeneous medium with quadratic nonlinearity at anomalous dispersion. Using the averaged Lagrangian method, we derived approximate analytical solutions in the form of two-component planar spatio-temporal solitons.…”

Section: Introductionmentioning

confidence: 99%

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Trapping of two-component light bullets in a gradient waveguide with normal group dispersion

et al. 2019

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In this paper we consider the process of the second harmonic generation in a gradient waveguide, taking into account diffraction and relatively weak temporal dispersion. Using the slowly varying envelope approximation and neglecting the dispersion of the nonlinear part of the response of the medium we obtain the system of parabolic equations for the envelopes of both harmonics. We also derive integrals of motion of this system. To solve it numerically we construct a nonlinear finite-difference scheme based on the Crank-Nicolson method preserving the integrals. Primarily, we focus our investigations on the processes of a two-component light bullets generation. We demonstrate that the generation of a coupled pair is possible in a planar waveguide even at normal group velocity dispersion.

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Section: Introductionmentioning

confidence: 89%