Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-30T20:32:37.978Z Has data issue: false hasContentIssue false

A condition for simultaneous propagation of coaxial Gaussian electromagnetic beams in a plasma, without convergence or divergence

Published online by Cambridge University Press:  01 June 2008

MAHENDRA SINGH SODHA
Affiliation:
Disha Academy of Research and Education, Disha Crown, Katchna Road, Shankar Nagar, Raipur – 492007, India ([email protected])
ASHUTOSH SHARMA
Affiliation:
Ramanna Fellowship Programme, Department of Education Building, Lucknow University, Lucknow – 226 007, India
SUJEET KUMAR AGARWAL
Affiliation:
Ramanna Fellowship Programme, Department of Education Building, Lucknow University, Lucknow – 226 007, India

Abstract

For coaxial Gaussian electromagnetic beams of equal width, a relation between the weighted sum of axial irradiances and the width of the beams, which corresponds to the propagation in a plasma, without convergence or divergence has been obtained in the paraxial approximation. The collisional (with and without thermal conduction), ponderomotive and relativistic nonlinearities have been separately considered in this investigation. The investigation has relevance to the study and application of multi-wave interaction phenomena such as the growth of combination frequencies, plasma beat wave acceleration and enhanced penetration in an overdense plasma.

Type
Papers
Copyright
Copyright © Cambridge University Press 2008

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]Sodha, M. S. and Kaw, P. K. 1969 Advances in Electronics and Electron Physics, London: Academic Press.Google Scholar
[2]Sodha, M. S. and Tripathi, V. K. 1977 Phys. Rev. A 16, 2101.CrossRefGoogle Scholar
[3]Sodha, M. S., Govind, and Sharma, R. P. 1979 Plasma Phys. 21, 13.Google Scholar
[4]Gurevich, A. V. 1978 Nonlinear Phenomena in the Ionosphere. Berlin: Springer.CrossRefGoogle Scholar
[5]Esarey, E., Ting, A. and Sprangle, P. 1988 Appl. Phys. Lett. 53, 1266.CrossRefGoogle Scholar
[6]Kumar, R., Pandey, H. D., Sharma, R. P. and Kumar, M. 1998 J. Plasma Phys. 60, 811.CrossRefGoogle Scholar
[7]Shvets, G., Fisch, N. J. and Pukhov, A. 1999 Phys. Rev. E 59, 1033.Google Scholar
[8]Gupta, M. K., Sharma, R. P. and Gupta, V. L. 2005 Phys. Plasmas 12, 123101.CrossRefGoogle Scholar
[9]Purohit, G., Chauhan, P. K., Sharma, R. P. and Pandey, H. D. 2005 Laser Part. Beams 23, 69.CrossRefGoogle Scholar
[10]Sodha, M. S. and Sharma, A. 2006 Phys. Plasmas 13, 053105.CrossRefGoogle Scholar
[11]Stenflo, L. 1995 J. Plasma Phys. 61, 129.CrossRefGoogle Scholar
[12]Shukla, P. K. and Stenflo, L. 1984 Phys. Rev. A 30, 2110.CrossRefGoogle Scholar
[13]Sodha, M. S., Ghatak, A. K. and Tripathi, V. K. 1976 Prog. Opt. 13, 169.CrossRefGoogle Scholar
[14]Hora, H. 1969 Z. Phys. 226, 156.CrossRefGoogle Scholar
[15]Hora, H. 1975 J. Opt. Soc. Am. 65, 882.CrossRefGoogle Scholar
[16]Sodha, M. S., Ghatak, A. K. and Tripathi, V. K. 1974 Self Focusing of Laser Beams in Dielectrics, Plasma and Semiconductors. Delhi: Tata-McGraw-Hill.Google Scholar
[17]Sodha, M. S., Sharma, A. and Agarwal, S. K. 2006 Phys. Plasmas 13, 083105.CrossRefGoogle Scholar
[18]Cicchitelli, L., Hora, H. and Postle, R. 1990 Phys. Rev. A 41, 3727.CrossRefGoogle Scholar
[19]Razumaova, K. A. 1984 Plasma Phys. Control. Nucl. Fusion Res. 26, 37.CrossRefGoogle Scholar
[20]Hora, H. 1991 Plasmas at High Temperature and Density. Heidelberg: Springer.Google Scholar
[21]Eliezer, S. and Hora, H. 1989 Phys. Rep. 172, 339.CrossRefGoogle Scholar
[22]Kasperczuk, A., Pisarczyk, T., Borodziuk, S., Ullschmied, J., Krousky, E., Masek, K., Rohlena, K., Skala, J. and Hora, H. 2006 Phys. Plasmas 13, 062704.CrossRefGoogle Scholar
[23]Roth, M. et al. 2005 Laser Part. Beams 23, 95.CrossRefGoogle Scholar
[24]Badziak, J., Glowacz, S., Jablonski, S., Parys, P., Wolowski, J. and Hora, H. 2005 Laser Part. Beams 23, 401.CrossRefGoogle Scholar
[25]Hora, H. et al. 2005 Laser Part. Beams 23, 423.CrossRefGoogle Scholar
[26]Badziak, J., Glowacz, S., Hora, H., Jablonski, S. and Wolowski, J. 2006 Laser Part. Beams 24, 249.CrossRefGoogle Scholar