Skip to main content
Log in

Nonlinear interaction of the inhomogeneous electron beam with magnetized inhomogeneous cold plasma

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

We study the nonlinear interactions of an inhomogeneous cold beam of electrons of arbitrary density with an inhomogeneous cold plasma in the presence of an external static magnetic field. The formation of waves of double frequency at the inlet of the beam into the plasma is considered. Far enough from the plasma boundary inwards, the external static magnetic field may increase the amplitude of the fundamental waves, and the electric field component of waves with double frequency will remain stronger than that of the basic frequency. In addition, it is found that the inhomogeneity of electron beams has more effect on the generation of the second harmonic wave.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  1. G. P. Gupta, T. Vijayan and V. K. Rohatgi Phys. Fluids 31 606 (1988).

    Article  ADS  Google Scholar 

  2. L. E. Thode Phys. Fluids 20 2121 (1977).

    Article  ADS  Google Scholar 

  3. G. C. A. M. Janssen, J. H. M. Bonnie, E. H. A. Granneman, V. I. Krementsov and H. J. Hopman Phys. Fluids 27 726 (1984).

    Article  ADS  Google Scholar 

  4. D. A. Hammer, K. A. Gerber, W. F. Dove, G. C. Goldenbaum, B. G. Logan, K. Papadopoulos and A. W. Ali Phys. Fluids 21 483 (1978).

    Article  ADS  Google Scholar 

  5. P. H. de Haan, G. C. A. M. Janssen, H. J. Hopman and E. H. A. Granneman Phys. Fluids 25 592 (1982).

    Article  ADS  Google Scholar 

  6. M. Friedman, V. Serlin, A. Drobot and A. Mondelli IEEE Trans. Plasma Sci. Ps-14 201 (1986).

    Article  ADS  Google Scholar 

  7. Kh. H. El-Shorbagy and M. S. Alhuthali Int. Math. Forum 4 767 (2009).

    MathSciNet  Google Scholar 

  8. Kh. H. El-Shorbagy, R. N. El-Sharif and B. M. Dakhel Adv. Stud. Theor. Phys. 6 1389 (2012).

    Google Scholar 

  9. Kh. H. El-Shorbagy, B. M. Dakhel and E. O. Alzahrani Phys. Wave Phen. 22 56 (2014).

    Article  ADS  Google Scholar 

  10. V Cadez and S Vukovic 3rd int. Kiev Conf. on Plasma Theory, Trieste, Italy 13 p 732 (1977).

  11. K. Gopal, Md. A. Raja, D. N. Gupta, K. Avinash and S. C. Sharma Indian J. Phys 92 919 (2018).

    Article  ADS  Google Scholar 

  12. M. A. Abdou Indian J. Physics 93 537 (2019).

    Article  ADS  Google Scholar 

  13. H. M. Baskonus, T. A. Sulaiman and H. Bulut Indian J. physics 93 393 (2019).

    Article  ADS  Google Scholar 

  14. W. H. Amein, V. V. Dologopolov, A. M. Hussein and K. E. Zayed Plasma Physics 17 497 (1975).

    Article  ADS  Google Scholar 

  15. A. A. Ivanov, N. G. Popkov, J. Wilhelm and R. Winkler Beitr Plasma Phys. 7 23 (1984).

    Google Scholar 

  16. N. G. Zaki and Kh. H. EL-Shorbagy Egypt J. Phys. 29 203 (1999).

    Google Scholar 

  17. W. M. Sahyouni and Kh. H. EL-Shorbagy Arab J. Nucl. Sci. Appl. 32 185 (1999).

    Google Scholar 

  18. M. V. Kuzelev and E. A. Khapaeva Plasma Phys. Rep. 38 551 (2012).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kh. H. El-Shorbagy.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

El-Shorbagy, K.H., El-Bendary, A.A. & Mahassen, H. Nonlinear interaction of the inhomogeneous electron beam with magnetized inhomogeneous cold plasma. Indian J Phys 96, 289–292 (2022). https://doi.org/10.1007/s12648-020-01963-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-020-01963-5

Keywords

Navigation