Mathematical Modeling of Spatial Soliton Formation in Quadratically Nonlinear Cavity

Article type: Research Article

Authors: Egorov, O.A.^a; | Sukhorukov, A.P.^a | Zakharova, I.G.^b

Affiliations: [a] Physics Faculty, Lomonosov Moscow State University, Vorobiovy gory, 119899 Moscow, Russia. E-mail: [email protected], [email protected] | [b] Institute for Mathematical Modeling RAS, Miusskaya sq. 4-A, 125047 Moscow, Russia

Correspondence: [1] The address for manuscript correspondence: O. A. Egorov, Physics Faculty, Lomonosov Moscow State University, Vorobiovy gory, 119899, Moscow, Russia. E-mail: [email protected]. Tel.: (7-095) 939-3317.

Abstract: In this work we elaborated the round-trip code to simulate quadratic cavity soliton trapping taking into account diffraction, reflection at mirrors, detuning, and the driving field. We have determined the domain of soliton existence both analytically and numerically. Dynamics of soliton trapping under the Gaussian driving field was investigated by mathematical modeling.

Keywords: Cavity, nonlinearity, resonator, harmonics, optics

DOI: 10.3233/JCM-2002-21-209

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 63-70, 2002