Abstract
In the present paper, we have studied the self-focusing of a laser beam in a relativistic plasma. We have set up the non-linear differential equation for the beam width parameter of the main beam by using the moment theory approach and solved it numerically by the Runge–Kutta method. The results obtained are in agreement with the findings of the simulation (3D PIC). A new stable form of self-channeling propagation has also been observed.
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A. Modena, Z. Najmudin, A.E. Dangor, C.E. Clayton, K.A. Marsh, C. Joshi, V. Malka, C.B. Darrow, C. Dansonparallel, D. Neelyparallel, F.N. Walshparallel, Nature (London) 377, 606 (1995)
E. Esarey, P. Sprangle, J. Krall, A. Ting, IEEE Trans. Plasma Sci. 24, 252 (1996)
D. Umstadter, S.-Y. Chen, A. Maksimchuk, G. Mourou, R. Wagner, Science 273, 472 (1996)
M. Tabak, J. Hammer, M.E. Glinsky, W.L. Kruer, S.C. Wilks, J. Woodworth, E.M. Campbell, M.D. Pelly, R.J. Mason, Phys. Plasmas 1, 1626 (1994)
H. Hora, Opto-Electronics 5, 491 (1973)
J.L. Hughes, in Laser Interaction and Related Plasma Phenomena, ed. by H. Schwarz, H. Hora (Plenum, New York, 1974), p. 849
H. Hora, J. Opt. Soc. Am. 65, 882 (1975)
W.L. Kruer, Phys. Plasmas 7, 2270 (1999)
F. Osman, R. Castillo, H. Hora, J. Plasma Phys. 61, 263 (1999)
K.A. Tanaka, R. Kodama, H. Fujita, M. Heya, N. Izumi, Y. Kato, Phys. Plasmas 7, 2014 (2000)
J. Fuchs, J.C. Adam, F. Amiranoff, S.D. Baton, N. Blanchot, P. Gallant, L. Gremillet, A. Héron, J.C. Kieffer, G. Laval, G. Malka, J.L. Miquel, P. Mora, H. Pépin, C. Rousseaux, Phys. Plasmas 6, 2563 (1999)
P. Monot, T. Auguste, P. Gibbon, F. Jakober, G. Mainfray, A. Dulieu, M. Louis-Jacquet, G. Malka, J.L. Miquel, Phys. Rev. Lett. 74, 2953 (1995)
D.A. Jones, E.L. Kane, P. Lalousis, P. Widles, H. Hora, Phys. Fluids 25, 2295 (1982)
T. Hauser, W. Scheid, H. Hora, J. Opt. Soc. Am. B 5, 2029 (1988)
T. Hauser, W. Scheid, H. Hora, Phys. Rev. A 45, 1278 (1992)
R. Sadighi-Bonabi, M. Habibi, E. Yazdani, Phys. Plasmas 16, 083105 (2009)
D. Umstadter, J. Phys. D 36, 151 (2003)
P. Gibbon, E. Forster, Plasma Phys. Control. Fusion 38, 769 (1996)
A. Pukhov, J. Meyer-ter-vehn, Phys. Rev. Lett. 76, 3975 (1996)
S.A. Akhmanov, A.P. Sukhorukov, R.V. Khokhlov, Sov. Phys. Usp. 10, 609 (1968)
M.S. Sodha, A.K. Ghatak, V.K. Tripathi, Progress in Optics (North Holland, Amsterdam, 1976), p. 171
S.N. Vlasov, V.A. Petrishchev, V.I. Talanov, Radiophys. Quantum Electron. 14, 1062 (1971)
J.F. Lam, B. Lippman, F. Tappert, Phys. Fluids 20, 1176 (1977)
M. Lax, W.H. Louisell, W.B. McKnight, Phys. Rev. A 11, 1365 (1975)
L. Cicchitelli, H. Hora, R. Postle, Phys. Rev. A 41, 3727 (1990)
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Singh, A., Walia, K. Relativistic self-focusing and self-channeling of Gaussian laser beam in plasma. Appl. Phys. B 101, 617–622 (2010). https://doi.org/10.1007/s00340-010-4230-4
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DOI: https://doi.org/10.1007/s00340-010-4230-4