Numerical Simulation of Parametric Gap Soliton Trapping in Bragg Grating

Article type: Research Article

Authors: Pavlova, E.G.^{a; 1; 2} | Sukhorukov, A.P.^{a; 3} | Zakharova, I.G.^{b; 4}

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

Correspondence: [2] The address for manuscript correspondence: E. G. Pavlova, Physics Faculty, Lomonosov Moscow State University, Vorobiovy gory, 119899 Moscow, Russia. Tel. (7 095)9393317. E-mail: [email protected].

Note: [1] E-mail: [email protected].

Note: [3] E-mail: [email protected].

Note: [4] [email protected].

Abstract: In this work, we investigate two-color gap soliton trapping (GST) in a quadratically nonlinear Bragg grating by means of mathematical modeling. We consider two types of Bragg resonance: at fundamental frequency and at both frequencies. The effects of soliton splitting and reflection at the grating boundaries were observed.

Keywords: Parametric gap soliton, Mathematical modeling

DOI: 10.3233/JCM-2002-21-228

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 201-205, 2002