Abstract
The dynamics of ultrashort pulses in a three-level or degenerate two-level medium is studied in the framework of integrable systems of the Maxwell-Bloch equations for pulses with a duration much longer than or comparable with the inverse transition frequency, with allowance made for linear birefringence. Using soliton-type solutions, we study the effect of birefringence on soliton conversion for different initial populations of the levels.
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References
A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford Univ. Press, Oxford, 1995).
G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1995, 2nd ed.).
S. Wabnitz, S. Trillo, and G. I. Stegeman, J. Opt. Soc. Am. B 8, 602 (1991).
M. J. Potasek, J. Opt. Soc. Am. B 10, 941 (1993).
S. V. Manakov, Zh. Éksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
S. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons: the Inverse Scattering Method (Nauka, Moscow, 1980; Consultants Bureau, New York, 1984).
R. Radhakrishnanh and M. Lakshmanan, Phys. Rev. E 60, 2317 (1990).
A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, Dordrecht, 1999).
A. I. Maĭmistov, Kvantovaya Élektron. (Moscow) 11, 567 (1984).
A. M. Basharov and A. I. Maĭmistov, Zh. Éksp. Teor. Fiz. 87, 1594 (1984) [Sov. Phys. JETP 60, 913 (1984)].
L. A. Bol’shov, N. N. Elkin, V. V. Likhanskiĭ, and M. I. Persiantsev, Zh. Éksp. Teor. Fiz. 88, 47 (1985) [Sov. Phys. JETP 61, 27 (1985)].
A. A. Zabolotskiĭ, Zh. Éksp. Teor. Fiz. 92, 46 (1987) [Sov. Phys. JETP 65, 25 (1987)].
R. K. Bullough and F. Akhmad, Phys. Rev. Lett. 27, 330 (1971).
E. M. Belenov, P. G. Kryukov, A. V. Nazarkin, et al., Pis’ma Zh. Éksp. Teor. Fiz. 47, 442 (1988) [JETP Lett. 47, 523 (1988)].
E. M. Belenov, A. V. Nazarkin, and V. A. Ushchapovskiĭ, Zh. Éksp. Teor. Fiz. 100, 762 (1991) [Sov. Phys. JETP 73, 422 (1991)].
A. E. Kaplan and P. L. Schkolnikov, Phys. Rev. Lett. 75, 2316 (1995).
S. V. Sazonov and E. V. Trifonov, J. Phys. A 27, L7 (1994).
S. V. Sazonov, Zh. Éksp. Teor. Fiz. 107, 20 (1995) [JETP 80, 10 (1995)].
M. Wittmann, A. Nazarkin, and G. Korn, Opt. Lett. 26, 298 (2001).
D. You, D. R. Dykaar, and P. H. Bucksbaum, Opt. Lett. 18, 290 (1993).
P. J. Coudrey, J. K. Filbeck, J. D. Gibbon, and R. K. Bullough, J. Phys. A 6, L53 (1973).
P. J. Coudrey, J. K. Eilbeck, J. D. Gibbon, and R. K. Bullough, Lett. Nuovo Cimento 8, 775 (1973).
F. J. McAleavey, J. O’gorman, J. F. Donegan, et al., Opt. Quantum Electron. 33, 151 (2001).
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Translated from Optika i Spektroskopiya, Vol. 92, No. 5, 2002, pp. 804–812.
Original Russian Text Copyright © 2002 by Zabolotskiĭ.
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Zabolotskiĭ, A.A. Dynamics of solitons in a three-level medium with linear birefringence. Opt. Spectrosc. 92, 739–747 (2002). https://doi.org/10.1134/1.1481141
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DOI: https://doi.org/10.1134/1.1481141