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Title: Bernstein modes in a non-neutral plasma column

Abstract

Our report presents theory and numerical calculations of electrostatic Bernstein modes in an inhomogeneous cylindrical plasma column. These modes rely on finite Larmor radius effects to propagate radially across the column until they are reflected when their frequency matches the upper hybrid frequency. This reflection sets up an internal normal mode on the column and also mode-couples to the electrostatic surface cyclotron wave (which allows the normal mode to be excited and observed using external electrodes). Numerical results predicting the mode spectra, using a novel linear Vlasov code on a cylindrical grid, are presented and compared to an analytical Wentzel Kramers Brillouin (WKB) theory. A prior version of the theory [D. H. E. Dubin, Phys. Plasmas 20(4), 042120 (2013)] expanded the plasma response in powers of 1/B, approximating the local upper hybrid frequency, and consequently, its frequency predictions are spuriously shifted with respect to the numerical results presented here. A new version of the WKB theory avoids this approximation using the exact cold fluid plasma response and does a better job of reproducing the numerical frequency spectrum. The effect of multiple ion species on the mode spectrum is also reported on, to make contact with experiments that observe cyclotron modesmore » in a multi-species pure ion plasma [M. Affolter et al., Phys. Plasmas 22(5), 055701 (2015)].« less

Authors:
 [1];  [1]
  1. Univ. of California, San Diego, CA (United States)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1540201
Alternate Identifier(s):
OSTI ID: 1438511
Grant/Contract Number:  
SC0018236
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 5; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Walsh, Daniel, and Dubin, Daniel H. E. Bernstein modes in a non-neutral plasma column. United States: N. p., 2018. Web. doi:10.1063/1.5027848.
Walsh, Daniel, & Dubin, Daniel H. E. Bernstein modes in a non-neutral plasma column. United States. https://doi.org/10.1063/1.5027848
Walsh, Daniel, and Dubin, Daniel H. E. Wed . "Bernstein modes in a non-neutral plasma column". United States. https://doi.org/10.1063/1.5027848. https://www.osti.gov/servlets/purl/1540201.
@article{osti_1540201,
title = {Bernstein modes in a non-neutral plasma column},
author = {Walsh, Daniel and Dubin, Daniel H. E.},
abstractNote = {Our report presents theory and numerical calculations of electrostatic Bernstein modes in an inhomogeneous cylindrical plasma column. These modes rely on finite Larmor radius effects to propagate radially across the column until they are reflected when their frequency matches the upper hybrid frequency. This reflection sets up an internal normal mode on the column and also mode-couples to the electrostatic surface cyclotron wave (which allows the normal mode to be excited and observed using external electrodes). Numerical results predicting the mode spectra, using a novel linear Vlasov code on a cylindrical grid, are presented and compared to an analytical Wentzel Kramers Brillouin (WKB) theory. A prior version of the theory [D. H. E. Dubin, Phys. Plasmas 20(4), 042120 (2013)] expanded the plasma response in powers of 1/B, approximating the local upper hybrid frequency, and consequently, its frequency predictions are spuriously shifted with respect to the numerical results presented here. A new version of the WKB theory avoids this approximation using the exact cold fluid plasma response and does a better job of reproducing the numerical frequency spectrum. The effect of multiple ion species on the mode spectrum is also reported on, to make contact with experiments that observe cyclotron modes in a multi-species pure ion plasma [M. Affolter et al., Phys. Plasmas 22(5), 055701 (2015)].},
doi = {10.1063/1.5027848},
url = {https://www.osti.gov/biblio/1540201}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 5,
volume = 25,
place = {United States},
year = {2018},
month = {5}
}

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Properties of axisymmetric Bernstein modes in an infinite-length non-neutral plasma
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Cyclotron mode frequencies and resonant absorption in multi-species ion plasmasa)
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Cyclotron waves in a non-neutral plasma column
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