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Title: Bernstein modes in a non-neutral plasma column

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5027848· OSTI ID:1540201
 [1];  [1]
  1. Univ. of California, San Diego, CA (United States)

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)].

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0018236
OSTI ID:
1540201
Alternate ID(s):
OSTI ID: 1438511
Journal Information:
Physics of Plasmas, Vol. 25, Issue 5; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (14)

Centrifugal separation of a multispecies pure ion plasma journal January 1981
Cyclotron resonance phenomena in a pure electron plasma journal March 1992
Properties of axisymmetric Bernstein modes in an infinite-length non-neutral plasma journal October 2013
On the theory of stationary waves in plasmas journal January 1955
Transport to thermal equilibrium of a pure electron plasma journal January 1979
Space Charge Waves in Cylindrical Plasma Columns journal November 1959
Theory of cyclotron resonance in a cylindrical non‐neutral plasma journal May 1995
Cyclotron resonance phenomena in a non‐neutral multispecies ion plasma journal August 1995
Cyclotron mode frequencies and resonant absorption in multi-species ion plasmasa) journal May 2015
Cyclotron waves in a non-neutral plasma column journal April 2013
Physics of Nonneutral Plasmas book October 2001
Inviscid damping of asymmetries on a two-dimensional vortex journal January 2000
Determination of the Density Profile in a Plasma Slab journal January 1969
Displacement eigenmodes for cold-fluid and warm-fluid magnetized plasma oscillations journal April 2005

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