Nonlinear Propagation of Extremely Short Pulses¹

Article type: Research Article

Authors: Karamzin, Yu.N.^{a; 2} | Shapovalov, G.G.^{b; 3; 4} | Sukhorukov, A.P.^{b; 5}

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

Correspondence: [4] The address for manuscript correspondence: G. G. Shapovalov, Physics Faculty, Lomonosov Moscow State University, Vorobiovy gory, 119899, Moscow, Russia. Tel.: (7-095) 939-3317. E-mail: [email protected].

Note: [1] This research is supported by the INTAS-97-0581, RFBR 99-02-16181 and RFBR 99-01-00786 and FUR grants.

Note: [2] E-mail: [email protected].

Note: [3] E-mail: [email protected].

Note: [5] E-mail: [email protected].

Abstract: Propagation of extremely short, pulses in media with quadratic nonlinearity is investigated numerically. The full system of Maxwell-Duffing equations is considered. A new conservative difference scheme for nonlinear Maxwell equations is constructed and tested. Numerical results are discussed.

Keywords: Extremely short pulses, Duffing equation

DOI: 10.3233/JCM-2002-21-231

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 225-230, 2002