Abstract
To perform an analytical and numerical investigation of optical bullets in a focusing bulk waveguide with quadratic nonlinearity we use the well-known quasi-optical approach. We give an approximate soliton solution representing a two-component light bullet. To investigate numerically the regimes of the formation and propagation of two-component optical bullets we construct a conservative difference scheme. To realize the multi-dimensional nonlinear difference scheme we propose a multi-step effective iterative solver. This method allows us to carry out an accurate and efficient modeling of the considered processes.
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Zakharova, I.G., Kalinovich, A.A., Komissarova, M.V., Sazonov, S.V. (2019). Multi-step Iterative Algorithm for Mathematical Modeling of Light Bullets in Anisotropic Media. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_79
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