Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-23T23:21:27.795Z Has data issue: false hasContentIssue false
  • English
  • Français

Excitation of Gould–Trivelpiece mode by streaming particles in dusty plasma

Published online by Cambridge University Press:  02 April 2019

Daljeet Kaur ,
Suresh C. Sharma ,
R.S. Pandey  and
Ruby Gupta
Daljeet Kaur
Affiliation:
Amity Institute of Applied Sciences, Amity University, Sector-125, Noida, Uttar Pradesh 201313, India
Suresh C. Sharma
Affiliation:
Department of Applied Physics, Delhi Technological University, Bawana Road, Delhi 110042, India
R.S. Pandey
Affiliation:
Amity Institute of Applied Sciences, Amity University, Sector-125, Noida, Uttar Pradesh 201313, India
Ruby Gupta*
Affiliation:
Department of Physics, Swami Shraddhanand College, University of Delhi, Alipur, Delhi 110 036, India
*
Author for correspondence: 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

In this paper, we study the excitation of Gould–Trivelpiece (TG) waves by streaming ions in dusty plasma and derive the dispersion relation of the excited waves using first-order perturbation theory. The motion of charged particles is controlled by electromagnetic fields in plasma. The energy transfer processes which occur in this collisionless plasma are believed to be based on wave–particle interactions. We have found that the TG waves may be generated in a streaming ion plasma via Cerenkov interaction, and the ions may be accelerated by TG waves via cyclotron interaction, which enable energy and momentum transfer. The variation in the growth rate of TG wave with dust grain size and relative density of negatively charged dust grains is also studied. The dust can cause an unstable TG mode to be stable in Doppler resonance, and can induce an instability in Cerenkov interaction.

Keywords

Cerenkov interactiondusty plasmagrowth rate
Type
Research Article
Information
Laser and Particle Beams , Volume 37 , Issue 1 , March 2019 , pp. 122 - 127
Copyright
Copyright © Cambridge University Press 2019 

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

Assis, AKT and Sakanaka, PH (1990) High frequency electromagnetic waves in a bounded, magnetized and warm plasma. Revista Brasileira de Física 20, 356–376.Google Scholar
Barkan, A, D'angelo, N and Merlino, RL (1996) Experiments on ion-acoustic waves in dusty plasmas. Planetary and Space Science 44, 239–242.Google Scholar
Carmel, Y, Minami, K, Lou, W, Khes, RA, Destler, WW, Granatstein, VL, Abe, DK and Rodgers, J (1990) Microwave generation by excitation of a plasma-filled rippled boundary resonator. IEEE Transactions on Plasma High-Power 18, 497–506.Google Scholar
Gupta, R, Prakash, V, Sharma, SC and Vijayshri, (2015) Interaction of an electron beam with whistler waves in magnetoplasmas. Laser and Particle Beams 33, 455–461.Google Scholar
Haas, F and Pascoal, KA (2017) Neutrino-driven electrostatic instabilities in a magnetized plasma. Physics of Plasmas D 96, 023018–023039.Google Scholar
Jain, VK and Khristiansen, P (1983) Recurrence of electron cyclotron harmonic wave instability in a beam plasma system. Journal of Plasma Physics and Controlled Fusion 25, 1169–1179.Google Scholar
Jain, VK and Khristiansen, P (1984) Excitation of electron cyclotron harmonic instabilities in a thin beam-plasma system. Journal of Plasma Physics and Controlled Fusion 26, 613–617.Google Scholar
Jana, MR, Sen, A and Kaw, PK (1993) Collective effects due to charge fluctuation dynamics in a dusty plasma. Physical Review E 48, 3930–3933.Google Scholar
Kaur, D, Sharma, SC and Pandey, RS (2018) Excitation of a Gould-Trivelpiece (TG) mode by Relativistic Electron Beam (REB) in magnetized dusty Plasma. Journal of Atomic, Molecular, Condensate & Nano Physics 5, 81–96.Google Scholar
Lynov, JP, Michelsen, P, Pecseli, HL, Juul Rasmussen, J, Saeki, K and Turikov, VA (1979) Observations of solitary structures in a magnetized, plasma loaded waveguide. Physica Scripta 20, 328–335.Google Scholar
Malmberg, JH and Wharton, CB (1966) Dispersion of electron plasma waves. Physical Review Letters 17, 175–178.Google Scholar
Mannheimer, WM (1969) Nonlinear development of electron plasma wave in a cylindrical waveguide. Physics of Fluids 12, 2426–2428.Google Scholar
Mouzouris, Y and Scharer, JE (1998) Wave propagation and absorption simulations for helicon sources. Physics of Plasmas 5, 4253–4261.10.1063/1.873161Google Scholar
Pieper, JB and Goree, J (1996) Dispersion of plasma dust acoustic waves in the strong coupling regime. Physical Review Letters 77, 3137–3140.Google Scholar
Praburam, G and Sharma, AK (1992) Second-harmonic excitation of a Gould-Trivelpiece mode in a beam-plasma system. Journal of Plasma Physics 48, 3–12.Google Scholar
Prakash, V and Sharma, SC (2009) Excitation of surface plasma waves by an electron beam in a magnetized dusty plasma. Physics of Plasmas 16, 093703–093712.Google Scholar
Prakash, V, Sharma, SC, Vijayshri, and Gupta, R (2013 a) Surface wave excitation by a density modulated electron beam in a magnetized dusty plasma cylinder. Laser and Particle Beams 31, 411–418.Google Scholar
Prakash, V, Gupta, R, Sharma, SC and Vijayshri, (2013 b) Excitation of lower hybrid wave by an ion beam in magnetized plasma. Laser and Particle Beams 31, 747–752.Google Scholar
Prakash, V, Sharma, SC, Vijayshri, and Gupta, R (2014) Effect of dust grain parameters on ion driven ion cyclotron waves in a magnetized plasma. Progress in Electromagnetics Research M 36, 161–168.Google Scholar
Schamel, H (1979) Theory of electron holes. Physica Scripta 20, 336–342.Google Scholar
Sharma, SC, Daljeet, K, Gahlot, A and Sharma, J (2014) Excitation of dust acoustic waves by an ion beam in a plasma cylinder with negatively charged dust grains. Physics of Plasmas 21, 103702–103708.Google Scholar
Stenzel, RL and Urrutia, JM (2016) Trivelpiece-Gould modes in a uniform unbounded plasma. Physics of Plasmas 23, 092103–092110.Google Scholar
Thompson, C, Barkan, A, D'angelo, N and Merlino, RL (1997) Dust acoustic wave in a direct current glow discharge. Physics of Plasmas 4, 2331–2335.Google Scholar
Tribeche, M and Zerguini, TH (2001) Current-driven dust ion-acoustic instability in a collisional dusty plasma with charge fluctuations. Physics of Plasmas 41, 394–398.Google Scholar
Trivelpiece, AW and Gould, RW (1959) Space charge waves in cylindrical plasma columns. Journal of Applied Physics 30, 1784–1793.Google Scholar
Whipple, EC, Northdrop, TG and Mendis, DA (1985) The electrostatics of dusty plasma. Journal of Geophysical Research 90, 7405–7413.Google Scholar
Zhai, X, Garate, E, Prohaska, R, Benford, G and Fisher, A (1993) Experimental study of a plasma-filled backward wave oscillator. IEEE Transactions on Plasma Science 21, 142–150.Google Scholar