Skip to main content
SpringerLink
Log in

Long-wavelength oscillations in a REB interaction with cold plasma

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

Abstract

In this paper, we investigate the excitation of long-wavelength oscillations in the interaction of a relativistic electron beam (REB) with a magnetized cold plasma. The unaffected densities of the REB and plasma are considered to be arbitrary under the condition of quasineutrality (i.e., no restriction about these densities). The interaction between a cold REB and the magnetized cold plasma is described by the linear dispersion relation and the growth rate. When compared to non-relativistic electron beam interacting with the unmagnetized cold plasma, the growth rate decreases. Long-wavelength oscillations are also detected to become unstable in that limit.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G P Gupta Fluids 31 606 (1988)

    Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

  4. K M Li, L F Kang and C Y Wang J. Phys. 88 1207 (2014)

    Google Scholar 

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

    Google Scholar 

  6. P H de Haan and G C A M Janssen Fluids 25 592 (1982)

    Google Scholar 

  7. M Friedman and J Krall Sci. Instrum. 61 171 (1990)

    Article  Google Scholar 

  8. Y Saitou and Y Nakamura Phys. Lett. A 343 397 (2005)

    Article  Google Scholar 

  9. D Hammer and N Rostoker Phys. Fluids 13 1381 (1970)

    Article  Google Scholar 

  10. K Javidan and H R Pakzad Indian J. Phys. 87 83 (2013)

    Article  Google Scholar 

  11. M Shahmansouri J. Phys. 87 711 (2013)

    Google Scholar 

  12. P Eslami, M Mottaghizadeh and H R Pakzad Indian J. Phys. 87 1047 (2013)

    Article  Google Scholar 

  13. M A H Khaled Indian J. Phys. 88 647 (2014)

    Article  Google Scholar 

  14. A A Rukhadze and V G Rukhlin Zh. Eksp. Teor. Fiz. 61 177 (1971) [Sov. Phys. JETP 34 93 (1972)]

  15. S E Rosinskif and V G Rukhlin Zh. Eksp. Teor. Fiz. 64 858 (1973) [Sov. Phys. JETP 37 436 (1973)]

  16. M V Kuzelev and A A Rukhadze Electrodynamics of Dense Electron Beam in Plasma (Mosco: "Nauka") (1990)

  17. M V Kuzelev and A A Rukhadze English Completed Edition Plasma Free Electron Lasers "Edition Frontier" Paris (1995)

  18. A A Ivanov and N G Popkov Plasma Phys. 7 23 (1984)

    Google Scholar 

  19. W B Colson Instrum. Methods Phys. Res. Sect. A 507 48 (2003)

    Article  Google Scholar 

  20. M Frigo and S G Johnson Proc. IEEE 93 216 (2005)

    Article  Google Scholar 

  21. P P Crooker Rev. ST Accel. Beams 8 040703 (2015)

    Article  Google Scholar 

  22. A E Broderick and C Pfrommer J. Astrophys. 790 137 (2014)

    Article  Google Scholar 

  23. S Vafin and P J Deka J. Astrophys. 873 10 (2019)

    Article  Google Scholar 

  24. I Silin Plasmas 14 012106 (2007)

    Article  Google Scholar 

  25. H Bohmer Fluids 16 1064 (1973)

    Google Scholar 

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

    Article  Google Scholar 

  27. Kh H El-Shorbagy, A A El-Bendary and Hania Mahassen Indian J Phys. 96 289 (2022)

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

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

  30. M V Kuzelev and E A Khapaeva Plasma Phys. Reports 38 551 (2012)

    Article  Google Scholar 

  31. J Gaudin et al Optics Letters 37 3033 (2012)

    Article  Google Scholar 

  32. F Franchetti, Y Voronenko and M Puschel SC 2006 Conference, Proceedings of the ACM/IEEE (IEEE) pp 51–51 (2006)

  33. P P Crooker, T Campbell, W Ossenfort and S Miller Instrum. Methods Phys. Res. Sect. A 507 52 (2003)

    Article  Google Scholar 

  34. K Baumgärtel Ann. Geophys. 31 31 (2013)

    Article  Google Scholar 

  35. A I Akhiezer Plasma Electrodynamics (Oxford: Pergamon Press) 1 (1975)

  36. W H Amein and Y A Sayed Physica Scripta 50 147 (1994)

    Article  Google Scholar 

  37. A F Alexandrov, L S Bogdankevich and A A Rukhadze Principles of Plasma Electrodynamics (New York: Springer) (1984)

    Book  Google Scholar 

  38. S Vafin and I Rafighi J. Astrophys. 857 43 (2018)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Plasma Physics and Nuclear Fusion Department, Division of Materials and Nuclear Industrialization, Nuclear Research Center, Egyptian Atomic Energy Authority, Cairo, Egypt

    Kh. H. El-Shorbagy

  2. Mathematics Division, School of Arts and Sciences, American University in Dubai, P.O. Box 28282, Dubai, UAE

    Hania Mahassen

Authors
  1. Kh. H. El-Shorbagy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hania Mahassen
    View author publications

    You can also search for this author in PubMed Google Scholar

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., Mahassen, H. Long-wavelength oscillations in a REB interaction with cold plasma. Indian J Phys 96, 4337–4340 (2022). https://doi.org/10.1007/s12648-022-02382-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-022-02382-4

Keywords

Search

Navigation