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Modulation instability of two laser beams in plasma

Published online by Cambridge University Press:  15 October 2013

Vijay Singh
Vijay Singh*
Affiliation:
Department of Physics, Galgotia College of Engineering and Technology, Greater Noida, 201306India
*
Address correspondence and reprint requests to: Vijay Singh, Department of Physics, Galgotia College of Engineering and Technology, Greater Noida, 201306India. E-mail: drvijay239@gmail.com
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Abstract

In the present paper, spatial amplitude modulation instability arising due to relativistic self-phase modulation and relativistic cross phase modulation of two co-propagating, linearly polarized laser beams (with arbitrary relative polarization) interacting with homogeneous plasma, has been studied. Wave equations including finite perturbation length effects, group velocity dispersion, and coupled nonlinear source term have been set up. Coupled dispersion relation for the two laser beams has been derived and solved numerically. The growth rate of modulation instability has been obtained and compared with the growth rate of a single beam propagating in homogeneous plasma. It has been shown that modulation instability of a single beam may either be enhanced or suppressed by co-propagation of another laser beam having appropriate polarization.

Keywords

Co-propagating beams in plasmaModulation instabilityRelativistic cross phase modulationRelativistic self-phase modulation
Type
Research Article
Information
Laser and Particle Beams , Volume 31 , Issue 4 , December 2013 , pp. 753 - 758
Copyright
Copyright © Cambridge University Press 2013 

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References

REFERENCES

Agrawal, G.P. (1987). Modulation instability induced by cross-phase modulation. Phys. Rev. Lett. 59, 880–883.CrossRefGoogle ScholarPubMed
Agrawal, G.P., Baldeck, P.L. & Alfano, R.R. (1989). Modulation instability induced by cross-phase modulation in optical fibers. Phys. Rev. A 39, 3406–3413.CrossRefGoogle ScholarPubMed
Benjamin, T.B. & Feir, J.E. (1967). The disintegration of wave trains on a deep water Part 1. Theory. J. Fluids Mech. 27, 417–430.CrossRefGoogle Scholar
Bingham, R., Mendonca, J.T. & Shukla, P.K. (2004). Plasma based charged-particle accelerators. Plasma Phys. Contr. Fusion 46, R1–R23.CrossRefGoogle Scholar
Chen, S., Rever, M., Zhang, P., Theobald, W. & Umstadter, D. (2006). Observation of relativistic cross-phase modulation in high-intensity laser-plasma interactions. Phys. Rev. E 74, 046406/1–6.CrossRefGoogle ScholarPubMed
Clayton, C.F., Tzeng, K.C., Gordon, D., Muggli, P., Mori, W.B., Joshi, C., Malka, V., Najmudin, Z., Modena, A. & Dangor, A.E. (1998). Plasma wave generation in a self-focused channel of a Relativistically intense laser pulse. Phys. Rev. Lett. 81, 100–103.CrossRefGoogle Scholar
Drake, J.F., Kaw, P.K., Lee, Y., Schmidt, C.G., Liu, C.S. & Rosenbluth, M.N. (1974). Parametric instabilities of electromagnetic waves in plasmas. Phys. Fluids 17, 778–785.CrossRefGoogle Scholar
Faure, J., Rectiatin, C., Norlin, A., Lifschitz, A., Glinec, Y. & Malka, V. (2006). Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses. Nature (London) 444, 737–739.CrossRefGoogle ScholarPubMed
Grebogi, C., Tripathi, V.K. & Chen, H.H. (1983). Harmonic generation of radiation in steep density profile. Phys. Fluids 26, 1904–1908.CrossRefGoogle Scholar
Hasegawa, A. (1975). Plasma Instabilities and Nonlinear Effects. Heidelberg: Springer-Verlag.CrossRefGoogle Scholar
Kruer, W.L. (1988). The Physics of Laser Plasma Interaction. Reading: Addison-Wesley.Google Scholar
Labaune, C., Baldis, H., Cohen, A.B., Rozmus, W., Depierreux, S., Schifano, E., Baur, C. & Michard, A. (1999). Nonlinear modification of laser plasma- interaction processes under crossed laser beams. Phys. Plasmas 6, 2048–2056.CrossRefGoogle Scholar
Liu, C.S. & Kaw, P.K. (1976). Advances in Plasma Physics. New York: Wiley.Google Scholar
Max, C.E., Arons, J. & Langdon, A. (1974). Self modulation and self-focusing of electromagnetic waves in plasmas. Phys. Rev. Lett. 33, 209–212.CrossRefGoogle Scholar
McKinstrie, C. J. & Bingham, R. (1989). The modulational instability of coupled waves. Phys. Fluids B 1, 230–237.CrossRefGoogle Scholar
McKinstrie, C. J. & Luther, G. G. (1990). The modulational instability of collinear waves. Phys. Scripta 30, 31–40.CrossRefGoogle Scholar
Nishikawa, K. & Liu, C.S. (1976). Advances in Plasma Physics. New York: Wiley.Google Scholar
Ostrovskiy, L.A. (1966). Propagation of wave packets and space-time self-focusing in nonlinear medium. Zh. Eksp. Teor. Fiz. 51, 1189–1194.Google Scholar
Shukla, P.K. (1962). Intense electromagnetic solitary pulses in plasmas. Phys. Fluids 26, 1769–1770.CrossRefGoogle Scholar
Shvets, G., Fisch, N.J. & Rax, J.M. (1998). Supperradiant amplification of an ultra short laser pulse in plasma by a counter propagating pump. Phys. Rev. Lett. 81, 4879–4882.CrossRefGoogle Scholar
Sprangle, P., Hafizi, B. & Penano, J.R. (2000). Laser pulse modulation instabilities in plasma channels. Phys. Rev. E 61, 4381–4393.CrossRefGoogle ScholarPubMed
Sprangle, P., Tang, C.M. & Esarey, E. (1987). Relativistic self-focusing of short-pulse radiation beams in plasmas. IEEE Trans. Plasma Sci. PS-15, 145–153.CrossRefGoogle Scholar
White, R.B. & Chen, F.F. (1974). Amplification and absorption of electromagnetic waves in overdense plasma. Plasma Phys. 16, 565–587.CrossRefGoogle Scholar