Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T20:44:51.142Z Has data issue: false hasContentIssue false
  • English
  • Français

Interaction of an electron beam with whistler waves in magnetoplasmas

Published online by Cambridge University Press:  08 June 2015

Ruby Gupta ,
Ved Prakash ,
Suresh C. Sharma  and
Vijayshri
Ruby Gupta*
Affiliation:
Department of Physics, Swami Shraddhanand College, University of Delhi, Alipur, Delhi, India
Ved Prakash
Affiliation:
School of Sciences, Indira Gandhi National Open University, Maidan Garhi, New Delhi, India
Suresh C. Sharma
Affiliation:
Department of Applied Physics, Delhi Technological University, Shahbad Daulatpur, Bawana Road, Delhi, India
Vijayshri
Affiliation:
School of Sciences, Indira Gandhi National Open University, Maidan Garhi, New Delhi, India
*
Address correspondence and reprint requests to: Dr. Ruby Gupta, Department of Physics, Swami Shraddhanand College, University of Delhi, Alipur, Delhi-110 036, India. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The present paper studies the whistler wave interaction with an electron beam propagating through magnetized plasma. A dispersion relation of whistler waves has been derived, and first-order perturbation theory has been employed to obtain the growth rate of whistlers in the presence of parallel as well as oblique electron beam. For whistler waves propagating parallel to the magnetic field, that is, parallel whistlers, only the cyclotron resonance appears with a parallel beam, while for whistler waves propagating at an angle to the magnetic field, that is, oblique whistlers interaction with parallel beam or parallel whistlers interaction with oblique beam, the Cerenkov and the cyclotron resonances both appear. The growth rate is found to increase with an increase in the transverse component of beam velocity and with an increase in the strength of magnetic field. The whistler wave frequency decreases with an increase in the beam velocity. The obliqueness of the whistler mode modifies its dispersion characteristics as well as growth rate of the instability. For purely parallel-propagating beams, it is essential for the growth of whistler mode that the wave number perpendicular to the magnetic field should not be zero. The results presented may be applied to explain the mechanisms of the whistler wave excitation in space plasma.

Keywords

Beam velocityDispersionElectron beamGrowth rateWhistler wave
Type
Research Article
Information
Laser and Particle Beams , Volume 33 , Issue 3 , September 2015 , pp. 455 - 461
Copyright
Copyright © Cambridge University Press 2015 

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

REFERENCES

Baranets, N., Ruzhin, Y., Erokhin, N., Afonin, V., Vojta, J., Smilauer, J., Kudela, K., Matisin, J. & Ciobanu, M. (2012). Acceleration of energetic particles by whistler waves in active space experiment with charged particle beams injection. Adv. Space Res. 49, 859–871.CrossRefGoogle Scholar
Borcia, R.C., Matthieussent, G., Bel, E.L., Simonet, F. & Solomon, J. (2000). Oblique whistler waves generated in cold plasma by relativistic electron beams. Phys. Plasmas 7, 359–370.CrossRefGoogle Scholar
Cipolla, J.W., Golden, K.I. & Silevitch, M.B. (1977). Ion cyclotron beam mode-whistler mode plasma instabilities and their role in parallel shock wave structures. Phys. Fluids 20, 282–290.CrossRefGoogle Scholar
Dorf, M.A., Kaganovich, I.D., Startsev, E.A. & Davidson, R.C. (2010). Whistler wave excitation and effects of self-focusing on ion beam propagation through a background plasma along a solenoidal magnetic field. Phys. Plasmas 17, 23103–23115.CrossRefGoogle Scholar
Gupta, D.N., Gopal, K., Nam, I.H., Kulagin, V.V. & Suk, H. (2014). Laser wakefield acceleration of electrons from a density-modulated plasma. Laser Part. Beams 32, 449–454.CrossRefGoogle Scholar
Gupta, D.N. & Sharma, A.K. (2004). Parametric up-conversion of a trivelpiece–gould mode in a beam–plasma system. Laser Part. Beams 22, 89–94.CrossRefGoogle Scholar
Gupta, D.N., Singh, K.P. & Suk, H. (2010). Cyclotron resonance effects on electron acceleration by two lasers of different wavelengths. Laser Part. Beams 30, 275–280.CrossRefGoogle Scholar
Jalori, H., Singh, S.K. & Gwal, A.K. (2004). Upconversion of whistler waves by gyrating ion beams in a plasma. Pramana J. Phys. 63, 595–610.CrossRefGoogle Scholar
James, L., Jassal, L. & Tripathi, V.K. (1995). Whistler and electron-cyclotron instabilities in a plasma duct. J. Plasma Phys. 54, 119–128.CrossRefGoogle Scholar
Krafft, C., Matthieussent, G., Thevenet, P. & Bresson, S. (1994 a). Interaction of a density modulated electron beam with a magnetized plasma: Emission of whistler waves. Phys. Plasmas 1, 2163–2171.CrossRefGoogle Scholar
Krafft, C., Thevenet, P., Matthieussent, G., Lundin, B., Belmont, G., Lembege, B., Solomon, J., Lavergnat, J. & Lehner, T. (1994 b). Whistler wave emission by a modulated electron beam. Phy. Rev. Lett. 72, 649–652.CrossRefGoogle ScholarPubMed
Krafft, C. & Volokitin, A. (1998). Nonlinear interaction of Whistler waves with a modulated thin electron beam. Phys. Plasmas 5, 4243–4252.CrossRefGoogle Scholar
Krall, N.A. & Trivelpiece, A.W. (1973). Principles of Plasma Physics (Farnsworth, J.L. and Margolies, M.E., Eds.), USA: McGraw-Hill.CrossRefGoogle Scholar
Prakash, V. & Sharma, S.C. (2009). Excitation of surface plasma waves by an electron beam in a magnetized dusty plasma. Phys. Plasmas 16, 93703–93709.CrossRefGoogle Scholar
Prakash, V., Sharma, S.C., Vijayshri, & Gupta, R. (2013). Surface wave excitation by a density modulated electron beam in a magnetized dusty plasma cylinder. Laser Part. Beams 31, 411–418.CrossRefGoogle Scholar
Prakash, V., Sharma, S.C., Vijayshri, & Gupta, R. (2014). Ion beam driven resonant ion–cyclotron instability in a magnetized dusty plasma. Phys. Plasmas 21, 33701–33707.CrossRefGoogle Scholar
Sauer, K. & Sydora, R.D. (2010). Beam-excited whistler waves at oblique propagation with relation to STEREO radiation belt observations. Ann. Geophys. 28, 1317–1325.CrossRefGoogle Scholar
Sharma, R.P., Goldstein, M.L., Dwivedi, N.K. & Chauhan, P.K. (2010). Whistler propagation and modulation in the presence of nonlinear Alfvén waves. J. Geophys. Res. 115, 1–7.CrossRefGoogle Scholar
Shoucri, M.M. & Gagne, R.R.J. (1978). Excitation of lower hybrid waves by electron beams in finite plasmas. Part 1. body waves. J. Plasma Phys. 19, 281–294.CrossRefGoogle Scholar
Starodubtsev, M., Krafft, C., Thevenet, P. & Kostrov, A. (1999). Whistler wave emission by a modulated electron beam through transition radiation. Phys. Plasmas 6, 1427–1434.CrossRefGoogle Scholar
Talukdar, I., Tripathi, V.K. & Jain, V.K. (1989). Whistler instability in a magnetospheric duct. J. Plasma Phys. 41, 231–238.CrossRefGoogle Scholar
Volokitin, A., Krafft, C. & Matthieussent, G. (1995). Whistler waves produced by a modulated electron beam: Electromagnetic fields in the linear approach. Phys. Plasmas 2, 4297–4306.CrossRefGoogle Scholar