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Ring formation in electromagnetic beams propagating in a magnetoplasma

Published online by Cambridge University Press:  01 April 2009

SHIKHA MISRA  and
S. K. MISHRA
SHIKHA MISRA
Affiliation:
Ramanna Fellowship Program, Department of Education Building, Lucknow University, Lucknow 226 007, India ([email protected])
S. K. MISHRA
Affiliation:
Ramanna Fellowship Program, Department of Education Building, Lucknow University, Lucknow 226 007, India ([email protected])
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Abstract

This paper presents an analysis (in the paraxial approximation) of a self-consistent, steady-state, theoretical model, which explains the ring formation in a Gaussian electromagnetic beam propagating in a magnetoplasma, characterized by ponderomotive and collisional nonlinearities. The condition for the formation of a dark and a bright ring has been derived analytically and the focusing/defocusing of the beam has been investigated in the different regimes. Further, the effect of the magnetic field and the nature of the nonlinearity on the ring formation and self focusing of the beam have also been explored.

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 6 , December 2009 , pp. 769 - 785
Copyright
Copyright © Cambridge University Press 2009

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References

[1]Chessa, P., De Wispelaere, E., Dorchies, F., Malka, V., Marques, J. R., Hamoniaux, G., Mora, P. and Amiranoff, F. 1999 Temporal and Angular Resolution of the Ionization-Induced Refraction of a Short Laser Pulse in Helium Gas. Phys. Rev. Lett. 82, 552–555.CrossRefGoogle Scholar
[2]Sartang, S., Evans, R. G. and Toner, W. T. 1983 Numerical simulation of self-focusing in laser produced plasmas. J. Phys. D: Appl. Phys. 16, 955–969.CrossRefGoogle Scholar
[3]Liu, C. S. and Tripathi, V. K. 2000 Laser frequency upshift, self-defocusing, and ring formation in tunnel ionizing gases and plasmas. Phys. Plasmas 7, 4360–4363.CrossRefGoogle Scholar
[4]Esarey, E., Sprangle, P., Krall, J. and Ting, A. 1997 Self-focusing and guiding of short laser pulses in ionizing gasesand plasmas. IEEE J. Quantum Electron. 33, 1879–1914.CrossRefGoogle Scholar
[5]Akhmanov, S. A., Khokhlov, R. V. and Sukhorukov, A. P. 1966 Self-focusing and diffraction of light in a nonlinear medium. Sov. Phys. Usp. 10, 609–636.CrossRefGoogle Scholar
[6]Akhmanov, S. A. and Khokhlov, R. V. 1972 Problems of Nonlinear Optics. New York: Gordon and Breach.Google Scholar
[7]Sodha, M. S., Ghatak, A. K. and Tripathi, V. K. 1974 Self-focusing of Laser Beams in Dielectrics, Semiconductors and Plasmas. Delhi: Tata-McGraw-Hill.Google Scholar
[8]Sodha, M. S., Ghatak, A. K. and Tripathi, V. K. 1976 Self-focusing of laser beams in plasmas and semiconductors. Prog. Opt. 13, 169–265.CrossRefGoogle Scholar
[9]Grow, T. D., Ishaaya, A. A., Vuong, L. T., Gaeta, A. L., Gavish, N. and Fibich, G. 2006 Collapse dynamics of super-Gaussian Beams. Opt. Express 14, 5468–5475.CrossRefGoogle ScholarPubMed
[10]Fibich, G. 2007 Some modern aspects of self-focusing theory. In: Self-focusing: Past and Present (ed. Boyd, R. W., Lukishova, S. G. and Shen, Y. R.). Berlin: Springer, ch. 17.Google Scholar
[11]Ghatak, A. K., Goyal, I. C. and Sodha, M. S. 1972 Series Solution for Steady-state Self-focusing with Saturating Non-linearity. Opt. Acta 19, 693–699.CrossRefGoogle Scholar
[12]Liu, C. S. and Tripathi, V. K. 2001 Self-focusing and frequency broadening of an intense short-pulse laser in plasmas. J. Opt. Soc. Am. A 18, 1714–1718.CrossRefGoogle ScholarPubMed
[13]Salih, H. A., Sharma, R. P. and Rafat, M. 2004 Plasma wave and second-harmonic generation of intense laser beams due to relativistic effects. Phys. Plasmas 11, 3186–3190.CrossRefGoogle Scholar
[14]Faisal, M., Mishra, S. K., Verma, M. P. and Sodha, M. S. 2007 Ring formation in self-focusing of electromagnetic beams in plasmas. Phys. Plasmas 14, 1031031–6.CrossRefGoogle Scholar
[15]Sodha, M. S. and Faisal, M. 2008 Propagation of high power electromagnetic beams in overdense plasmas: Higher order paraxial theory. Phys. Plasmas 15, 0331021–4.CrossRefGoogle Scholar
[16]Ginzburg, V. L. 1964 The Propagation of Electromagnetic Waves in Plasmas. New York: Pergamon Press.Google Scholar
[17]Sodha, M. S., Mittal, R. S., Kumar, S. and Tripathi, V. K. 1974 Self-focusing of electromagnetic waves in a magnetoplasma. Opto Electronics 6, 167–180.Google Scholar
[18]Sodha, M. S., Khanna, R. K. and Tripathi, V. K. 1974 The self-focusing of electromagnetic beams in a strongly ionized magnetoplasma. J. Phys. D 7, 2188–2197.Google Scholar
[19]Sodha, M. S., Sharma, R. P., Kumar, S. and Tripathi, V. K. 1976 Cross-focusing of Extraordinary and Ordinary Modes in a Magnetoplasma. Opt. Acta 23, 305–319.Google Scholar
[20]Gurevich, A. V. 1978 Nonlinear Phenomena in the Ionosphere. New York: Springer.CrossRefGoogle Scholar
[21]Sodha, M. S. and Patel, L. A. 1980 Self-focusing of a laser in a magnetoplasma. Opt. Acta 27, 783–797.CrossRefGoogle Scholar
[22]Sodha, M. S., Govind, , and Sharma, R. P. 1979 Cross-focusing of two co-axial Gaussian electromagnetic beams in a magnetoplasma and plasma wave generation. Plasma Phys. 21, 13–26.Google Scholar
[23]Sodha, M. S., Sharma, J. K., Kumar, S. and Tripathi, V. K. 1979 Anomalous penetration of laser radiation in an overdense magnetoplasma. J. Appl. Phys. 50, 2638–2642.Google Scholar
[24]Sharma, A., Kourakis, I. and Sodha, M. S. 2008 Propagation regimes for an electromagnetic beam in magnetized plasma. Phys. Plasmas 15, 1031031–7.CrossRefGoogle Scholar
[25]Sodha, M. S. and Sharma, A. 2008 Self focusing of electromagnetic beams in the ionosphere considering earth's magnetic field. J. Plasma Phys. 74, 473–491.CrossRefGoogle Scholar
[26]Sodha, M. S., Mishra, S. K. and Agarwal, S. K. 2007 Self-focusing and cross-focusing of Gaussian electromagnetic beams in fully ionized collisional magnetoplasmas. Phys. Plasmas 14, 1123021–8.CrossRefGoogle Scholar
[27]Hora, H. 1969 Self-focusing of laser beams in a plasma by ponderomotive forces. Z. Phys. 226, 156–159.CrossRefGoogle Scholar
[28]Shkarofsky, I. P., Johnston, T. W. and Bachynski, M. P. 1966 The Particle Kinetics of Plasmas. New York: Addison-Wesley.Google Scholar