Abstract
An analytic and numerical investigation is made of the self-focusing of a wave beam allowing for the inertia of the nonlinear response of the medium described by an acoustic type of equation. Some characteristics of the dynamics of self-interaction of the wave fields are analyzed in the paraxial optics approximation and the self-similar structures and space-time instability of a plane wave are considered. The stages of instability buildup, structure formation, and the establishment of a steady state are studied numerically.
Similar content being viewed by others
References
A. G. Litvak, V. A. Mironov, and A. M. Sergeev, Phys. Scr., T 30, 57 (1990).
A. G. Litvak, V. A. Mironov, and A. M. Sergeev, in Nonlinear Waves 3, Ed. by A. V. Gaponov-Grekhov, M. I. Rabinovich, and J. Engelbrecht (Springer-Verlag, New York, 1990), p. 240.
N. E. Andreev, L. M. Gorbunov, S. V. Tarakanov, et al., Phys. Fluids B 5, 1986 (1993).
N. E. Andreev, L. N. Gorbunov, A. I. Zykov, et al., Zh. Éksp. Teor. Fiz. 106, 1676 (1994) [JETP 79, 905 (1994)].
Y. R. Shen, Principles of Nonlinear Optics (Wiley, New York, 1984; Nauka, Moscow, 1989).
A. G. Litvak, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1980; Consultants Bureau, New York, 1986), Vol. 10.
S. N. Vlasov, V. A. Petrishchev, and V. I. Talanov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14, 1353 (1971).
S. N. Vlasov and V. I. Talanov, Self-Focusing of Waves (Inst. Prikl. Fiz. Ross. Akad. Nauk, Nizhni Novgorod, 1997).
G. M. Fraiman, Zh. Éksp. Teor. Fiz. 88, 390 (1985) [Sov. Phys. JETP 61, 228 (1985)].
E. L. Kerr, Phys. Rev. A 4, 1195 (1971).
R. L. Berger, B. F. Lasinski, T. B. Kaiser, et al., Phys. Fluids B 5, 2243 (1993).
H. A. Rose, Phys. Plasmas 2, 2216 (1995).
M. Lontano, A. M. Sergeev, and A. Cardinali, Phys. Fluids B 1, 901 (1989).
L. M. Gorbunov and A. S. Shirokov, Kvantovaya Élektron. (Moscow) 12, 146 (1985); S. V. Tarakanov, Fiz. Plazmy 14, 487 (1988) [Sov. J. Plasma Phys. 14, 288 (1988)].
E. V. Vanin, V. A. Mironov, E. A. Pyan’kina, et al., Fiz. Plazmy 17, 821 (1991) [Sov. J. Plasma Phys. 17, 480 (1991)].
V. E. Zakharov, A. G. Litvak, E. I. Rakova, et al., Zh. Éksp. Teor. Fiz. 94(5), 107 (1988) [Sov. Phys. JETP 67, 925 (1988)].
M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, Phys. Rev. Lett. 83, 2938 (1999).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 118, No. 5, 2000, pp. 1234–1244.
Original Russian Text Copyright © 2000 by Zharova, Litvak, Mironov.
Rights and permissions
About this article
Cite this article
Zharova, N.A., Litvak, A.G. & Mironov, V.A. Nonsteady-state self-interaction in a medium with striction nonlinearity. J. Exp. Theor. Phys. 91, 1070–1078 (2000). https://doi.org/10.1134/1.1334998
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1334998