Abstract
We consider the models of generating femtosecond radiation in solid-state lasers with passive mode locking. An approach in which ultrashort laser pulses (USPs) are associated with the complex Ginzburg-Landau equation (GLE) is developed. The structure of solitons and the range of parameters of their existence are analytically determined and the stability criteria of those solitons are formulated for a number of limiting cases. The scenarios of the cyclic spectral and temporal dynamics of dissipative solitons due to the instability of the background field are studied.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Ya. I. Khanin, Dynamics of Quantum Generators [in Russian], Sovetskoe Radio, Moscow (1975).
E. M. Garmire and A. Yariv, IEEE J. Quant. Electr., 3, No. 6, 222 (1967).
V. I. Bespalov, Izv. Vyssh. Uchebn, Zaved., Radiofiz., 11, No. 2, 320 (1968).
V. S. Letokhov, Zh. Éksp. Teor. Fiz., 55, No. 3, 1077 (1968).
H. A. Haus, J. Appl. Phys., 46, No. 7, 3 049 (1975).
H. A. Haus, J.G. Fujimoto, and E.P. Ippen, J. Opt. Soc. Am. B, 8, No. 10, 2068 (1991).
A. A. Andronov, Collected Papers [in Russian], Akad. Nauk SSSR, Moscow (1955).
N. R. Pereira and L. Stenflo, Phys. Fluids, 20, No. 10, 1733 (1977).
K.P. Komarov, Opt. Spektrosk., 60, No. 2, 379 (1986).
P. A. Belanger, L. Gagnon, and C. Pare, Opt. Lett., 14, No. 17, 943 (1989).
C. J. Chen, P. K. A. Wai and C. R. Menyuk, Opt. Lett., 19, No. 3, 198 (1994).
A. M. Sergeev, E. V. Vanin, and F.W. Wise, Opt. Commun., 140, 61 (1997).
A. M. Sergeev and E. V. Vanin, Proc. SPIE, 2377, 32 (1995).
O. E. Martinez, R. L. Fork, and J.P. Gordon, J. Opt. Soc. Am. B, 2, 753 (1985).
K. X. Kartner, D. Kopf, and U. Keller, J. Opt. Soc. Am. B, 12, No. 3, 486 (1995).
K. X. Kartner, I. D. Jung, and U. Keller, IEEE J., Sel. Top. Quant. Electron., 2, 540 (1996).
E. V. Vanin, A. I. Korytin, A. M. Sergeev, D. Anderson, M. Lisak, and L. Vazquez, Phys. Rev. A, 49, No. 4, 2806 (1994).
V. S. Grigor'yan, A. I. Naimistov, Yu.M. Sklyarov, Zh. _ Eksp. Teor. Fiz., 67, 530 (1988).
A. K. Komarov, K.P. Komarov, and A. S. Kuch'yanov, Kvant. _ Elektron., 25, No. 7, 629 (1998).
V. L. Kalashnikov, V.P. Kalosha, I. G. Poloiko, and V.P. Mikhailov, Kvant. _ Elektron., 23, No. 3, 243 (1996).
N. N. Akhmediev, A. Ankiewicz, M. J. Lederer, and B. Luther-Davies, Opt. Lett., 23, No. 4, 280 (1998).
A. I. Chernykh and S. K. Turitsyn, Opt. Lett., 20, No. 4, 398 (1995).
L. Kramer, E. A. Kuznetsov, S. Popp, and S. K. Turitsyn, Pis'ma Zh.Éksp. Teor. Fiz., 61, No. 11, 887 (1995).
N. N. Akhmediev and V. V. Afanasjev, Phys. Rev. Lett., 75, No. 12, 2 320 (1995).
J. M. Soto-Crespo, N.N. Akhmediev, and V. V. Afanasjev, J. Opt. Soc. Am. B, 13, No. 7, 1 439 (1996).
B. Jaskorzynska, J. Nilsson, A. Sergeev, and E. Vanin, Opt. Lett., 20, No. 20, 2123 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Korytin, A.I., Kryachko, A.Y. & Sergeev, A.M. Dissipative Solitons in the Complex Ginzburg-Landau Equation for Femtosecond Lasers. Radiophysics and Quantum Electronics 44, 428–442 (2001). https://doi.org/10.1023/A:1017949230737
Issue Date:
DOI: https://doi.org/10.1023/A:1017949230737