Conservative difference schemes for some problems of femtosecond nonlinear optics

Differential Equations

Volumn 41, Issue 7, 2005, Pages 953-962

  Volkov, A G ^a   Trofimov, V A ^a   Tereshin, E B ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26044439045     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10625-005-0235-x     Document Type: Article

References (20)

1. Shen, Y.R., The Principles of Nonlinear Optics, New York: Wiley, 1984.
2. Translated under the title Printsipy nelineinoi optiki, Moscow, 1989.
3. Agrawal, G.P., Nonlinear Fiber Optics, San Diego: Academic, 1989.
4. Translated under the title Nelineinaya volokonnaya optika, Moscow, 1996.
5. Akhmanov, S.A., Vysloukh, V.A., and Chirkin, A.S., Optika femtosekundnykh lazernykh impul'sov (Optics of Femtosecond Laser Pulses), Moscow, 1988.
6. Sukhorukov, A.P., Nelineinye volnovye vzaimodeistviya v optike i radiofizike (Nonlinear Wave Interactions in Optics and Radio Physics), Moscow, 1988.
7. Feit, M.D., Fleck, J.A., and Steiger, Jr.A., J. Comput. Phys., 1982, vol. 47, no. 3, pp. 412-433.
8. Fleck, J.A., Morris, J.R., and Feit, M.D., Appl. Phys., 1976, vol. 10, no. 2, pp. 129-160.
9. Taha, T.R. and Ablowitz, M.J., J. Comput. Phys., 1984, vol. 55, no. 2, pp. 203-230.
10. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Difference Schemes), Moscow, 1989.
11. Karamzin, Yu.N., Sukhorukov, A.P., and Trofimov, V.A., Matematicheskoe modelirovanie v nelineinoi optike (Mathematical Modeling in Nonlinear Optics), Moscow, 1989.
12. Zakharova, I.G., Karamzin, Yu.N., and Trofimov, V.A., Decomposition Method in Problems of Nonlinear Optics, Preprint IAM Acad. Sci. USSR, Moscow, 1989.
13. Polyakov, S.V. and Trofimov, V.A., Optika Atmosfery, 1990, vol. 3, no. 2, pp. 279-283.
14. Joannopoulos, J.D., Meade, R.D., and Winn, J.N., Photonic Crystals: Molding the Flow of Light, New York, 1995.
15. Scalora, M., Dawling, F.P., Bowden, C.M., and Blomer, M.J., Phys. Rev. Letters., 1994, vol. 73, no. 10, pp. 1368-1371.
16. Trofimov, V.A., Zh. Vychislit. Mat. Mat. Fiz., 2001, vol. 41, no. 9, pp. 1429-1433.
17. Trofimov, V.A., Zh. Vychislit. Mat. Mat. Fiz., 1998, vol. 38, no. 5, pp. 835-839.
18. Trofimov, V.A., Tereshin, E.B., and Fedotov, M.V., Zh. Vychislit. Mat. Mat. Fiz., 2003, vol. 43, no. 10, pp. 1550-1555.
19. Varentsova, S.A., Volkov, A.G., and Trofimov, V.A., Zh. Vychislit. Mat. Mat. Fiz., 2003, vol. 43, no. 11, pp. 1709-1721.
20. Volkov, A.G. and Trofimov, V.A., Optika i Spektroskopiya, 2003, vol. 94, no. 3, pp. 506-513.