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Title: Analytic model of near-field radio-frequency sheaths. II. Full plasma dielectric

Abstract

An analytic model is derived for electromagnetic radio-frequency (rf) wave propagation in a plasma-filled waveguide with rf sheath boundary conditions. The model gives a simplified description of the rf fields and sheath potentials near an ion cyclotron range of frequencies antenna under certain conditions. The present work lifts the restriction to a low density plasma ('tenuous plasma model') described in a previous paper [D. A. D'Ippolito and J. R. Myra, Phys. Plasmas 16, 022506 (2009)] to include the full plasma dielectric tensor with the ordering epsilon{sub perpendicular}approxepsilon{sub x}approx1, epsilon{sub ||}>>1 for the case where the magnetic field is well aligned with the antenna. It is shown that retaining epsilon{sub x}approx1 provides an additional drive term for the rf sheath. This effect is shown to be negligible in most practical situations suggesting that the tenuous plasma model does not miss any essential finite-density effects. The condition to recover the tenuous plasma result is derived. Expressions for the sheath voltage and sheath power dissipation are given in the arbitrary density limit, and a comparison of several mechanisms for dissipating power in rf sheaths is discussed.

Authors:
;  [1]
  1. Lodestar Research Corporation, 2400 Central Avenue, Boulder, Colorado 80301 (United States)
Publication Date:
OSTI Identifier:
21389116
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 17; Journal Issue: 7; Other Information: DOI: 10.1063/1.3457123; (c) 2010 American Institute of Physics; Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANTENNAS; BOUNDARY CONDITIONS; DIELECTRIC TENSOR; MAGNETIC FIELDS; PLASMA; PLASMA DENSITY; PLASMA SHEATH; RADIOWAVE RADIATION; WAVE PROPAGATION; WAVEGUIDES; ELECTRICAL EQUIPMENT; ELECTROMAGNETIC RADIATION; EQUIPMENT; RADIATIONS; TENSORS

Citation Formats

D'Ippolito, D A, and Myra, J R. Analytic model of near-field radio-frequency sheaths. II. Full plasma dielectric. United States: N. p., 2010. Web. doi:10.1063/1.3457123.
D'Ippolito, D A, & Myra, J R. Analytic model of near-field radio-frequency sheaths. II. Full plasma dielectric. United States. https://doi.org/10.1063/1.3457123
D'Ippolito, D A, and Myra, J R. Thu . "Analytic model of near-field radio-frequency sheaths. II. Full plasma dielectric". United States. https://doi.org/10.1063/1.3457123.
@article{osti_21389116,
title = {Analytic model of near-field radio-frequency sheaths. II. Full plasma dielectric},
author = {D'Ippolito, D A and Myra, J R},
abstractNote = {An analytic model is derived for electromagnetic radio-frequency (rf) wave propagation in a plasma-filled waveguide with rf sheath boundary conditions. The model gives a simplified description of the rf fields and sheath potentials near an ion cyclotron range of frequencies antenna under certain conditions. The present work lifts the restriction to a low density plasma ('tenuous plasma model') described in a previous paper [D. A. D'Ippolito and J. R. Myra, Phys. Plasmas 16, 022506 (2009)] to include the full plasma dielectric tensor with the ordering epsilon{sub perpendicular}approxepsilon{sub x}approx1, epsilon{sub ||}>>1 for the case where the magnetic field is well aligned with the antenna. It is shown that retaining epsilon{sub x}approx1 provides an additional drive term for the rf sheath. This effect is shown to be negligible in most practical situations suggesting that the tenuous plasma model does not miss any essential finite-density effects. The condition to recover the tenuous plasma result is derived. Expressions for the sheath voltage and sheath power dissipation are given in the arbitrary density limit, and a comparison of several mechanisms for dissipating power in rf sheaths is discussed.},
doi = {10.1063/1.3457123},
url = {https://www.osti.gov/biblio/21389116}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 7,
volume = 17,
place = {United States},
year = {2010},
month = {7}
}