Cyclotron waves in a nonneutral plasma column
Abstract
A kinetic theory of linear electrostatic plasma waves with frequencies near the cyclotron frequency {Omega}{sub c{sub s}} of a given plasma species s is developed for a multispecies nonneutral plasma column with general radial density and electric field profiles. Terms in the perturbed distribution function up to O(1/{Omega}{sub c{sub s}{sup 2}}) are kept, as are the effects of finite cyclotron radius r{sub c} up to O(r{sub c}{sup 2}). At this order, the equilibrium distribution is not Maxwellian if the plasma temperature or rotation frequency is not uniform. For r{sub c}{yields}0, the theory reproduces coldfluid theory and predicts surface cyclotron waves propagating azimuthally. For finite r{sub c}, the wave equation predicts that the surface wave couples to radially and azimuthally propagating Bernstein waves, at locations where the wave frequency equals the local upper hybrid frequency. The equation also predicts a second set of Bernstein waves that do not couple to the surface wave, and therefore have no effect on the external potential. The wave equation is solved both numerically and analytically in the WKB approximation, and analytic dispersion relations for the waves are obtained. The theory predicts that both types of Bernstein wave are damped at resonances, which are locations wheremore »
 Authors:

 Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)
 Publication Date:
 OSTI Identifier:
 22130431
 Resource Type:
 Journal Article
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 20; Journal Issue: 4; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070664X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BERNSTEIN MODE; CYCLOTRON FREQUENCY; CYCLOTRONS; DISPERSION RELATIONS; DISTRIBUTION FUNCTIONS; DOPPLER EFFECT; ELECTRIC FIELDS; EQUILIBRIUM; KINETIC EQUATIONS; PLASMA DENSITY; PLASMA WAVES; ROTATING PLASMA; WAVE EQUATIONS; WAVE PROPAGATION; WKB APPROXIMATION
Citation Formats
Dubin, Daniel H. E. Cyclotron waves in a nonneutral plasma column. United States: N. p., 2013.
Web. doi:10.1063/1.4802101.
Dubin, Daniel H. E. Cyclotron waves in a nonneutral plasma column. United States. https://doi.org/10.1063/1.4802101
Dubin, Daniel H. E. Mon .
"Cyclotron waves in a nonneutral plasma column". United States. https://doi.org/10.1063/1.4802101.
@article{osti_22130431,
title = {Cyclotron waves in a nonneutral plasma column},
author = {Dubin, Daniel H. E.},
abstractNote = {A kinetic theory of linear electrostatic plasma waves with frequencies near the cyclotron frequency {Omega}{sub c{sub s}} of a given plasma species s is developed for a multispecies nonneutral plasma column with general radial density and electric field profiles. Terms in the perturbed distribution function up to O(1/{Omega}{sub c{sub s}{sup 2}}) are kept, as are the effects of finite cyclotron radius r{sub c} up to O(r{sub c}{sup 2}). At this order, the equilibrium distribution is not Maxwellian if the plasma temperature or rotation frequency is not uniform. For r{sub c}{yields}0, the theory reproduces coldfluid theory and predicts surface cyclotron waves propagating azimuthally. For finite r{sub c}, the wave equation predicts that the surface wave couples to radially and azimuthally propagating Bernstein waves, at locations where the wave frequency equals the local upper hybrid frequency. The equation also predicts a second set of Bernstein waves that do not couple to the surface wave, and therefore have no effect on the external potential. The wave equation is solved both numerically and analytically in the WKB approximation, and analytic dispersion relations for the waves are obtained. The theory predicts that both types of Bernstein wave are damped at resonances, which are locations where the Dopplershifted wave frequency matches the local cyclotron frequency as seen in the rotating frame.},
doi = {10.1063/1.4802101},
url = {https://www.osti.gov/biblio/22130431},
journal = {Physics of Plasmas},
issn = {1070664X},
number = 4,
volume = 20,
place = {United States},
year = {2013},
month = {4}
}