Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-19T15:31:32.823Z Has data issue: false hasContentIssue false
  • English
  • Français

Focusing of a ring ripple on a Gaussian electromagnetic beam in a magnetoplasma

Published online by Cambridge University Press:  01 August 2009

SHIKHA MISRA  and
S. K. MISHRA
SHIKHA MISRA
Affiliation:
Ramanna Fellowship Program, Department of Education Building Lucknow University, Lucknow 226007, India (msodha@rediffmail.com)
S. K. MISHRA
Affiliation:
Ramanna Fellowship Program, Department of Education Building Lucknow University, Lucknow 226007, India (msodha@rediffmail.com)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we present a theoretical investigation of the growth/propagation of a ring ripple, superposed on a Gaussian electromagnetic beam propagating along the direction of magnetic field in a magnetoplasma. The nature of propagation of the ripple is analysed in a paraxial-like approximation by radial expansion of the dielectric function, corresponding to the composite (Gaussian and ripple) electric field profile of the beam around the position of the maximum of the ripple. The two cases of collisional plasmas (with negligible thermal conduction) and collisionless plasmas (dominant ponderomotive nonlinearity) are considered. The effect of the magnetic field on the critical curves and focusing/defocusing of the ripple are studied and discussed.

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 4 , August 2009 , pp. 545 - 561
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Mulser, P. and Bauer, D. 2004 Laser Part. Beams 22, 5.CrossRefGoogle Scholar
[2]Tabak, M., Hameer, J., Glinsky, M. E., Kruer, W. L., Wilks, S. C., Woodsworth, J., Campbell, E. M., Perry, M. D. and Mason, R. J. 1994 Phys. Plasmas 1, 1626.CrossRefGoogle Scholar
[3]Chen, F. F. and Wilks, S. C. 2005 Laser Part. Beams 23, 411.CrossRefGoogle Scholar
[4]Badziak, J., Glowacz, S., Jablonski, S., Parys, P., Wolowski, J. and Hora, H. 2005 Laser Part. Beams 23, 143.CrossRefGoogle Scholar
[5]Hora, H. et al. 2005 Laser Part. Beams 23, 423.CrossRefGoogle Scholar
[6]Hora, H. 2005 Laser Part. Beams 23, 441.CrossRefGoogle Scholar
[7]George, T. M. 1970 J. Geophys. Res. 75, 6436.CrossRefGoogle Scholar
[8]Utlaut, W. F. and Cohen, R. 1971 Science 174, 245.CrossRefGoogle Scholar
[9]Guzdar, P. N., Chaturvedi, P. K., Papadopoulos, K. and Ossakow, S. L. 1998 J. Geophys. Res. 103, 2231.Google Scholar
[10]Keskinen, M. J. and Basu, S. 2003 Radio Sci. 38, RS002906.CrossRefGoogle Scholar
[11]Gondarenko, N. A., Ossakow, S. L. and Milikh, G. M. 2005 J. Geophys. Res. 110, A09304.Google Scholar
[12]Perkins, F. W. and Goldman, M. V. 1981 J. Geophys. Res. 86, 600.CrossRefGoogle Scholar
[13]Gurevich, A. V. 1978 Nonlinear Processes in Ionosphere. Berlin: Springer, pp. 113–235.CrossRefGoogle Scholar
[14]Esarey, E., Sprangle, P., Krall, J. and Ting, A. 1996 IEEE Trans. Plasma Sci. 24, 252.CrossRefGoogle Scholar
[15]Wyrtele, J. S. 1993 Advanced Accelerator Concepts. New York: AIP.Google 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 Opt. Electron. 6, 167.Google Scholar
[18]Sodha, M. S., Khanna, R. K. and Tripathi, V. K. 1974 J. Phys. D: Appl. Phys. 7, 2188.CrossRefGoogle Scholar
[19]Sodha, M. S., Sharma, R. P., Kumar, S. and Tripathi, V. K. 1976 Optica Acta 23, 305.Google Scholar
[20]Sodha, M. S. and Patel, L. A. 1980 Optica Acta 27, 783.Google Scholar
[21]Sodha, M. S., Govind, and Sharma, R. P. 1979 Plasma Phys. 21, 13.Google Scholar
[22]Sodha, M. S., Sharma, J. K., Kumar, S. and Tripathi, V. K. 1979 J. Appl. Phys. 50, 2638.CrossRefGoogle Scholar
[23]Sodha, M. S., Mishra, S. K. and Agarwal, S. K. 2007 Phys. Plasmas 14, 1123021.Google Scholar
[24]Sharma, A., Kourakis, I. and Sodha, M. S. 2008 Phys. Plasmas 15, 1031011.Google Scholar
[25]Sodha, M. S. and Sharma, A. 2008 J. Plasma Phys. 74, 473.CrossRefGoogle Scholar
[26]Askaryan, G. A. 1962 Sov. Phys. JETP 15, 1088.Google Scholar
[27]Joshi, C., Clayton, C. E., Yasuda, A. and Chen, F. F. 1982 J. Appl. Phys. 53, 215.Google Scholar
[28]Zhizhan, X., Yuguang, X., Guangyu, Y., Zhang, Y., Jiagin, Y. and Lee, P. H. Y. 1983 J. Appl. Phys. 54, 4902.CrossRefGoogle Scholar
[29]Talanov, V. I. 1966 Sov. Radiophys. 9, 260.Google Scholar
[30]Hora, H. 1967 Z. Phys. A 226, 156.CrossRefGoogle Scholar
[31]Palmer, A. J. 1971 Phys. Fluids 14, 2714.CrossRefGoogle Scholar
[32]Kaw, P., Schmidt, G. and Wilcox, T. 1973 Phys. Fluids 16, 1522.CrossRefGoogle Scholar
[33]Max, C. E., Arons, J. and Langdon, A. B. 1974 Phys. Rev. Lett. 33, 209.Google Scholar
[34]Drake, J. F., Kaw, P. K., Lee, Y. C., Schmidt, G., Liu, C. S. and Rosenbluth, M. N. 1974 Phys. Fluids 17, 778.CrossRefGoogle Scholar
[35]Mannheimer, W. M. and Ott, E. 1974 Phys. Fluids 17, 1413.CrossRefGoogle Scholar
[36]Perkins, F. W. and Valeo, E. 1974 Phys. Rev. Lett. 32, 1234.CrossRefGoogle Scholar
[37]Yu, M. Y., Spatschek, K. H. and Shukla, P. K. 1974 Z. Naturforsch. A 29a, 1736.Google Scholar
[38]Chen, F. F. 1974 Proc. Third Workshop on Physical Mechanisms for Laser Plasma Instabilities in Laser Interaction and Related Phenomena, Troy, NY, Vol. 3A (ed. Hora, H.). New York: Plenum, A 75-1101-75.Google Scholar
[39]Sodha, M. S., Ghatak, A. K. and Tripathi, V. K. 1976 Prog. Opt. 13, 169.CrossRefGoogle Scholar
[40]Bingham, R. and Lashmore-Davies, C. N. 1976 Nucl. Fusion 16, 67.Google Scholar
[41]Sodha, M. S. and Tripathi, V. K. 1977 J. Appl. Phys. 48, 1078.CrossRefGoogle Scholar
[42]Sodha, M. S., Sharma, R. P. and Kaushik, S. C. 1976 Plasma Phys. 18, 879.CrossRefGoogle Scholar
[43]Kruer, W. L., Ruffina, U. and Westerhof, E. 1985 Comments Plasma Phys. Controlled Fusion 9, 63.Google Scholar
[44]Epperlein, E. M. 1990 Phys. Rev. Lett. 65, 2145.CrossRefGoogle Scholar
[45]Berger, R. L., Lasinski, B. F., Kaiser, T. B., Williams, E. A., Langdon, A. B. and Cohen, B. I. 1993 Phys. Fluids B 5, 2243.CrossRefGoogle Scholar
[46]Ghanshyam, and Tripathi, V. K. 1993 J. Plasma Phys. 49, 243.Google Scholar
[47]Wilks, S., Young, P. E., Hammer, J., Tabak, M. and Kruer, W. L. 1994 Phys. Rev. Lett. 73, 2994.Google Scholar
[48]Kaiser, T. B., Cohen, B. I., Berger, R. L., Lasinski, B. F., Langdon, A. B. and Williams, E. A. 1994 Phys. Plasmas 1, 1287.Google Scholar
[49]Vidal, F. W. and Johnston, T. W. 1996 Phys. Rev. Lett. 77, 1282.Google Scholar
[50]Lal, A. K., Marsh, K. A., Clayton, C. E., Joshi, C., McKinstrie, C. J., Li, J. S. and Johnston, T. W. 1997 Phys. Rev. Lett. 78, 670.CrossRefGoogle Scholar
[51]Bendib, A., Bouzid, F., Bendib, K. and Matthieussent, G. 2006 Phys. Plasmas 6, 4008.Google Scholar
[52]Loy, M. M. T. and Shen, Y. R. 1969 Phys. Rev. Lett. 22, 994.Google Scholar
[53]Chiligaryan, Y. S. 1968 Zh. Eksp. Teor. Fiz 55, 1589.Google Scholar
[54]Abbi, S. C. and Mahr, H. 1971 Phys. Rev. Lett. 26, 204.Google Scholar
[55]Akhmanov, S. A., Sukhorukov, A. P. and Khokhlov, R. V. 1968 Sov. Phys. Usp. 10, 609.CrossRefGoogle Scholar
[56]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
[57]Singh, D. P., Sharma, R. P. and Kaushik, S. C. 1979 J. Phys. D: Appl. Phys. 12, 83.Google Scholar
[58]Sodha, M. S., Sharma, J. K., Tewari, D. P., Sharma, R. P. and Kaushik, S. C. 1979 J. Appl. Phys. 50, 6214.CrossRefGoogle Scholar
[59]Sharma, A., Verma, M. P., Prakash, G. and Sodha, M. S. 2004 J. Appl. Phys. 95, 2963.CrossRefGoogle Scholar
[60]Sodha, M. S., Sharma, A. and Agarwal, S. K. 2006 Phys. Plasmas 13, 083105.Google Scholar
[61]Sodha, M. S., Sharma, A. and Agarwal, S. K. 2007 J. Geophys. Res. 112, A03302.Google Scholar
[62]Sodha, M. S., Sharma, R. P., Maheshwari, K. P. and Kausik, S. C. 1978 Plasma Phys. 20, 585.Google Scholar
[63]Sodha, M. S., Singh, D. P. and Sharma, R. P. 1979 Appl. Phys. (Berlin), 18, 97.CrossRefGoogle Scholar
[64]Sodha, M. S., Singh, T., Singh, D. P. and Sharma, R. P. 1981 Phys. Fluids 24, 914.CrossRefGoogle Scholar
[65]Singh, A. and Singh, T. 1990 J. Plasma Phys. 43, 465.Google Scholar
[66]Pandey, H. D. and Tripathi, V. K. 1990 Phys. Fluids B 2, 1221.CrossRefGoogle Scholar
[67]Sodha, M. S., Konar, S. and Maheshwari, K. P. 1992 J. Plasma Phys. 48, 107.Google Scholar
[68]Asthana, M. V., Giulietti, A., Varshney, D. and Sodha, M. S. 1999 J. Plasma Phys. 62, 389.CrossRefGoogle Scholar
[69]Sodha, M. S., Sharma, A., Prakash, G. and Verma, M. P. 2004 Phys. Plasmas 11, 3023.CrossRefGoogle Scholar
[70]Sodha, M. S. and Sharma, A. 2007 Phys. Plasmas 14, 044501.Google Scholar
[71]Misra, Shikha and Mishra, S. K. 2008 Phys. Plasmas 15, 092307.CrossRefGoogle Scholar