Abstract
The self-action dynamics of three-dimensional wave packets whose width is on the order of the carrier frequency is studied under fairly general assumptions concerning the dispersion properties of the medium. The condition for the wave field collapse is determined. Self-action regimes in a dispersion-free medium and in media with predominance of anomalous or normal group velocity dispersions are numerically investigated. It is shown that, for extremely short pulses, nonlinearity leads not only to the self-compression of the wave field but also to a “turn-over” of the longitudinal profile. In a dispersionless medium, the formation of a shock front within the pulse leads to the nonlinear dissipation of linearly polarized radiation and to self-focusing stabilization. For circularly polarized radiation, the wave collapse is accompanied by the formation of an envelope shock wave.
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References
P. M. Paul, E. S. Toma, P. Breger, et al., Science 292, 1689 (2001); A. Baltuska, Th. Udem, M. Uiberacher, et al., Nature 421, 611 (2003).
Qin Chen and X. C. Zhang, in Ultrafast Lasers: Technology and Applications, Ed. by M. E. Femann, A. Golvanauskas, and G. Sucha (Marcel Dekker, New York, 2003); R. A. Cheville and D. Grischkowsky, Appl. Phys. Lett. 67, 1960 (1995).
A. Braun, G. Korn, X. Liu, et al., Opt. Lett. 20, 73 (1995); E. T. J. Nibbering, P. F. Curley, G. Grillion, et al., Opt. Lett. 21, 62 (1996).
É. M. Belenov and A. V. Nazarkin, Pis’ma Zh. Éksp. Teor. Fiz. 53, 188 (1991) [JETP Lett. 53, 200 (1991)]; S. A. Kozlov and S. V. Sazonov, Zh. Éksp. Teor. Fiz. 111, 404 (1997) [JETP 84, 221 (1997)].
O. V. Rudenko and O. A. Sapozhnikov, Usp. Fiz. Nauk 174, 970 (2004) [Phys. Usp. 47, 907 (2004)]; Zh. Éksp. Teor. Fiz. 106, 395 (1994) [JETP 79, 220 (1994)].
S. K. Turitsyn and G. E. Fal’kovich, Zh. Éksp. Teor. Fiz. 89, 258 (1985) [Sov. Phys. JETP 62, 146 (1985)]; V. S. L’vov, Nonlinear Spin Waves (Nauka, Moscow, 1987) [in Russian].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media, 2nd ed. (Nauka, Moscow, 1982; Pergamon, Oxford, 1984).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics, 3rd ed. (Nauka, Moscow, 1986; Pergamon, New York, 1987).
D. V. Kartashov, A. V. Kim, and S. A. Skobelev, Pis’ma Zh. Éksp. Teor. Fiz. 78, 722 (2003) [JETP Lett. 78, 276 (2003)].
N. A. Zharova, A. G. Litvak, T. A. Petrova, et al., Izv. Vyssh. Uchebn. Zaved., Radiofiz. 29, 1137 (1986); L. Berge, Phys. Rep. 303, 259 (1998).
N. A. Zharova, A. G. Litvak, and V. A. Mironov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 46, 331 (2003).
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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 82, No. 3, 2005, pp. 119–123.
Original Russian Text Copyright © 2005 by Litvak, Mironov, Skobelev.