Abstract
We study fully relativistic nonlinear one-dimensional equations describing steady-state solutions for an electromagnetic wave interacting with a plasma in the self-induced transparency regime. In addition to the well-known solution that corresponds to the transmission of the electromagnetic wave into plasma, another steady-state solution is shown to exist in a certain range of amplitudes of the wave. The latter solution corresponds to total reflection of the incident wave. The coexistence of the two solutions indicates the possibility of hysteretic behavior in the self-induced transparency.
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References
G. Mourou and D. Umstadter, Phys. Fluids B 4, 2315 (1992).
M. D. Perry and G. Mourou, Science 264, 917 (1994).
A. I. Akhiezer and R. V. Polovin, Zh. Éksp. Teor. Fiz. 30, 915 (1956) [Sov. Phys. JETP 3, 696 (1956)].
W. Lünow, Plasma Phys. 10, 879 (1968).
P. K. Kaw and J. Dawson, Phys. Rev. Lett. 13, 472 (1970).
S. Guerin et al., Phys. Plasmas 3, 2693 (1996).
S. Guerin et al., Phys. Plasmas 2, 2807 (1995).
W. B. Mori et al., Phys. Rev. Lett. 72, 1482 (1994).
C. B. Darrow et al., Phys. Rev. Lett. 69, 442 (1992).
A. S. Sakharov and V. I. Kirsanov, Phys. Rev. E 49, 3274 (1994).
X. L. Chen and R. N. Sudan, Phys. Fluids B 5, 1336 (1993).
R. N. Sudan, Phys. Rev. Lett. 70, 3075 (1993).
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Pis’ma Zh. Éksp. Teor. Fiz. 70, No. 7, 445–450 (10 October 1999)
Published in English in the original Russian journal. Edited by Steve Torstveit.