Summary
This paper presents a rigorous theoretical investigation of the relativistic and nonrelativistic modulational instability of a high-power laser radiation propagating in a collisionless and unmagnetized laser-produced plasma. The kinetic equationviz. the relativistic Vlasov equation has been employed to find the nonlinear response of electrons for this four-wave parametric process in the plasma. The actual motivation behind this theoretical investigation is to find the relativistic effect on this four-wave paremetric processviz. the modulational instability. Here, it can be noted that the modulational instability of the laser radiation under our situation has not a large but considerable relativistic effect and for the same set of plasma parameters the growth rate of the instability in ultrarelativistic consideration is approximately three times higher than that in the nonrelativistic consideration.
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References
V. L. Ginzburg:The Propagation of Electromagnetic Waves in Plasma (Pergamon Press, New York, N.Y., 1970).
F. F. Chen:Introduction to Plasma Physics and Controlled Fusion (Plenum, New York, N.Y., 1984).
M. S. Sodha, A. K. Ghatak andV. K. Tripathi:Prog. Opt.,13, 169 (1976).
T. P. Hughes: inLaser-Plasma Interactions, edited byR. A. Cairns andJ. J. Sanderson (Scottish Universities Summer School in Physics, Edinburgh, 1980).
A. Hora:Physics of Laser Driven Plasma (Wiley, New York, N.Y., 1981).
C. S. Liu andP. K. Kaw:Advances in Plasma Physics, edited byA. Simon andW. B. Thompson, Vol. VI (Wiley, New York, N.Y., 1976), p. 83, p. 4, p. 91.
W. L. Kruer:The Physics of Laser Plasma Interactions (Addison-Wesley, New York, N.Y., 1988).
T. J. M. Boyd:Plasma Phys. Control. Fusion,28, 1887 (1986).
S. E. Bodner andJ. L. Eddleman:Phys. Rev. A,5, 355 (1975).
P. K. Shukla, M. N. Rao, M. Y. Yu andN. L. Tsintzsadze:Phys. Rep.,138, 1 (1986).
P. K. Shukla, R. Bharathram andM. N. Tsintzsadze:Phys. Scr.,38, 578 (1988)
M. Salimullah andM. H. A. Hassan:Phys. Rev. A,41, 6963 (1990).
P. Kaw, G. Schmidt andT. Wilcox:Phys. Fluids,16, 1522 (1973).
J. Drake, P. K. Kaw, Y. C. Lee, G. Schmidt, C. S. Liu andM. N. Rosenbluth:Phys. Fluids,17, 778 (1974).
R. Bingham andC. N. Lashmore-Davies:Nucl. Fusion,16, 67 (1976).
A. Ng, D. Saltzmann andA. A. Ottenberger:Phys. Rev. Lett.,43, 1502 (1979).
O. Willi, P. T. Rumsley andS. Scatang:IEEE J. Quantum Electron,QE-17, 1909 (1981).
M. Salimullah, Y. G. Liu andM. G. Haines:Phys. Fluids,28, 248 (1985).
P. Kaw andJ. M. Dawson:Phys. Fluids,13, 472 (1970).
C. E. Max:Phys. Fluids,16, 1277 (1971);16, 1480 (1973).
D. E. Baldwin, I. B. Bernstein andM. P. H. Weenink:Advances in Plasma Physics, edited byA. Simon andW. B. Thompson, Vol. III (Wiley, New York, N.Y., 1969), p. 4.
S. Ischimaru:Plasma Physics (The Benjamin/Cummings Publishing Company, Inc., CA, 1986), p. 278 and 279.
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Mamun, A.A., Majid, F. & Alam, M.N. Relativistic and nonrelativistic modulational instability of a laser radiation in an unmagnetized laser-produced plasma: Kinetic theory. Il Nuovo Cimento D 14, 729–738 (1992). https://doi.org/10.1007/BF02451719
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DOI: https://doi.org/10.1007/BF02451719