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Cross-focusing of two hollow Gaussian laser beams in plasmas

Published online by Cambridge University Press:  06 April 2011

Ruchika Gupta ,
Prerana Sharma ,
M. Rafat  and
R.P. Sharma
Ruchika Gupta*
Affiliation:
Department of Applied Sciences and Humanities, Jamia Millia Islamia, New Delhi, India
Prerana Sharma
Affiliation:
Government Ujjain Engineering College, Ujjain, Madhya Pradesh, India
M. Rafat
Affiliation:
Department of Applied Sciences and Humanities, Jamia Millia Islamia, New Delhi, India
R.P. Sharma
Affiliation:
Centre for Energy Studies, Indian Institute of Technology, New Delhi, India
*
Address correspondence and reprint requests to: Ruchika Gupta, Department of Applied Sciences and Humanities, Jamia Millia Islamia, New Delhi 110025, India. E-mail: ruchikaji81@gmail.com
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Abstract

This article presents the cross-focusing of two high power dark hollow Gaussian beams in plasma when relativistic nonlinearity is operative. A paraxial like approach has been used in the present analysis. In this study, the non-linear dielectric function has been expanded in terms of radial distance from the maximum of the irradiance, rather than from the axis, as is the case of Gaussian beams. The nature of propagation of a hollow Gaussian beam propagating in plasmas has been studied under the influence of relativistic non-linearity. The effect on the order (n) of hollow Gaussian beam on the cross-focusing of two beams has been explored in relativistic non-linearity in this publication.

Keywords

Cross-focusingHollow Gaussian beamLaser plasma interactionRelativistic nonlinearityRipple
Type
Research Article
Information
Laser and Particle Beams , Volume 29 , Issue 2 , June 2011 , pp. 227 - 230
Copyright
Copyright © Cambridge University Press 2011

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References

REFERENCES

Akhmanov, S.A., Sukhorukov, A.P. & Khokhlov, R.V. (1968). Self-focusing and diffraction of light in a non linear medium. Sov. Phys. Usp. 10, 609–636.CrossRefGoogle Scholar
Ffeit, M.D. & Fleck, J.A. Jr (1988). Beam non-paraxiality, filament formation and beam breakup in the self-focusing of optical beams. Opt. Soc. Am. B 5, 633–640.Google Scholar
Gill, T.S., Mahajan, R. & Kaur, R. (2010). Relativistic & Ponderomotive effects on evolution of dark hollow Gaussian electromagnetic beams in a plasma. Laser Part. Beams 28, 521–529.Google Scholar
Giulietti, D., Galimberti, M., Giulietti, A., Gizzi, L.A., Labate, L. & Tomassini, P. (2005). The laser-matter interaction meets the high energy physics: Laser-plasma accelerators and bright X/γ-ray source. Laser Part. Beams 23, 309–314.Google Scholar
Heckenberg, N.R., McDuff, R., Smith, C.P., White, A.G. (1992). Nonlinear rotation of 3D dark spatial solitons in a Gaussian laser beam. Opt. Lett. 17, 221.CrossRefGoogle Scholar
Hora, H. (1991). Plasmas at High Temperature and Density. Heidelberg: Springer.Google Scholar
Imasaki, K. & Li, D. (2009). Feasibility of new Laser Fusion by intense Laser Field. Laser Part. Beams 27, 273–279.Google Scholar
Johnston, T.W., Vidal, F. & Fre'chette, D. (1997). Laser plasma filamentation and spatially periodic non linear Schrodinger equation approximation. Phys. Plasmas 4, 1582–1588.CrossRefGoogle Scholar
Kruer, W.L. (1974). The physics of Laser Plasma Interaction. New York: Additison-Wesley.Google Scholar
Kumar, A., Gupta, M.K. & Sharma, R.P. (2006). Effect of ultra intense laser pulse on the propagation of electron plasma wave in relativistic and ponderomotive regime and particle acceleration. Laser Part. Beams 24, 403–409.Google Scholar
Nicholas, D.J. & Sajjadi, S.G. (1989). The effect of light filamentation on uniformity of energy deposition in laser plasmas. J. Plasma Phys. 41, 209–218.Google Scholar
Ogata, A. & Nakajima, K. (1998). Recent progress and perspectives of laser-plasma accelerators. Laser Part. Beams 16, 381–396.Google Scholar
Patil, S.D., Takale, M.V., Navare, S.T. & Dongare, M.B. (2010). Focusing of Hermite-cosh-Gaussian laser beams in collisionless magnetoplasma. Laser Part. Beams 28, 343–349.Google Scholar
Sharma, A. & Kourakis, I. (2010). Spatial evolution of a q-Gaussian Laser beam in relativistic Plasma. Laser Part. Beams 28, 479–489.Google Scholar
Sodha, M.S., Ghatak, A.K. & Tripathi, V.K. (1974a). Self-focusing of Laser Beams in Dielectrics, Semiconductors and Plasmas. Delhi: Tata-Mc Graw-Hill.Google Scholar
Sodha, M.S., Khanna, R.K. & Tripathi, V.K. (1974). The Self-focusing of electromagnetic beams in a strongly ionized magnetoplasma. J. Phys. D: Appl. Phys. 7, 2188.CrossRefGoogle Scholar
Sodha, M.S., Tripathi, V.K. & Ghatak, A.K. (1976). Self-focusing of laser beams in plasmas and semiconductors. Prog. Opt. 13, 169–265.CrossRefGoogle Scholar
Sparangle, P. & Esarey, E. (1991). Stimulated backscattered harmonic generation from intense laser interactions with beams and plasmas. Phys. Rev. Lett. 67, 2021–2024.Google Scholar
Sullivan, J.A. & Von Rosenberg, C.W. (1986). High energy Krypton fluoride amplifiers for laser-induced fusion. Laser Part. Beams 4, 91–105.Google Scholar
Tajmania, T. & Dawson, J.M. (1979). Experiments and simulations of tunnel-ionized plasmas. Phys. Rev. 46, 1091–1105.Google Scholar
Vidal, F. & Johnston, T.W. (1996). Electromagnetic beam breakup: Multi filaments, single beam equilibriya and radiation. Phys. Rev. Lett. 77, 1282–1285.CrossRefGoogle Scholar
Yin, J., Noh, H., Lee, K., Kim, K., Wang, Y. & Jhe, W. (1997). Generation of a dark hollow beam by a small hollow fiber. Opt. Commun. 138, 287.CrossRefGoogle Scholar