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Title: Radio frequency sheaths in an oblique magnetic field

Abstract

The physics of radio-frequency (rf) sheaths near a conducting surface is studied for plasmas immersed in a magnetic field that makes an oblique angle θ with the surface. A set of one-dimensional equations is developed that describe the dynamics of the time-dependent magnetic presheath and non-neutral Debye sheath. The model employs Maxwell-Boltzmann electrons, and the magnetization and mobility of the ions is determined by the magnetic field strength, and wave frequency, respectively. The angle, θ assumed to be large enough to insure an electron-poor sheath, is otherwise arbitrary. Concentrating on the ion-cyclotron range of frequencies, the equations are solved numerically to obtain the rectified (dc) voltage, the rf voltage across the sheath and the rf current flowing through the sheath. As an application of this model, the sheath voltage-current relation is used to obtain the rf sheath impedance, which in turn gives an rf sheath boundary condition for the electric field at the sheath-plasma interface that can be used in rf wave codes. In general the impedance has both resistive and capacitive contributions, and generalizes previous sheath boundary condition models. The resistive part contributes to parasitic power dissipation at the wall.

Authors:
 [1];  [1]
  1. Lodestar Research Corp., Boulder, CO (United States)
Publication Date:
Research Org.:
Lodestar Research Corp., Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1187967
Alternate Identifier(s):
OSTI ID: 1228643
Report Number(s):
LRC-15-161
Journal ID: ISSN 1070-664X; PHPAEN
Grant/Contract Number:  
FG02-97ER54392
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 22; Journal Issue: 6; 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; radio frequency; sheath; plasma; impedance

Citation Formats

Myra, James R., and D'Ippolito, Daniel A. Radio frequency sheaths in an oblique magnetic field. United States: N. p., 2015. Web. doi:10.1063/1.4922848.
Myra, James R., & D'Ippolito, Daniel A. Radio frequency sheaths in an oblique magnetic field. United States. https://doi.org/10.1063/1.4922848
Myra, James R., and D'Ippolito, Daniel A. Mon . "Radio frequency sheaths in an oblique magnetic field". United States. https://doi.org/10.1063/1.4922848. https://www.osti.gov/servlets/purl/1187967.
@article{osti_1187967,
title = {Radio frequency sheaths in an oblique magnetic field},
author = {Myra, James R. and D'Ippolito, Daniel A.},
abstractNote = {The physics of radio-frequency (rf) sheaths near a conducting surface is studied for plasmas immersed in a magnetic field that makes an oblique angle θ with the surface. A set of one-dimensional equations is developed that describe the dynamics of the time-dependent magnetic presheath and non-neutral Debye sheath. The model employs Maxwell-Boltzmann electrons, and the magnetization and mobility of the ions is determined by the magnetic field strength, and wave frequency, respectively. The angle, θ assumed to be large enough to insure an electron-poor sheath, is otherwise arbitrary. Concentrating on the ion-cyclotron range of frequencies, the equations are solved numerically to obtain the rectified (dc) voltage, the rf voltage across the sheath and the rf current flowing through the sheath. As an application of this model, the sheath voltage-current relation is used to obtain the rf sheath impedance, which in turn gives an rf sheath boundary condition for the electric field at the sheath-plasma interface that can be used in rf wave codes. In general the impedance has both resistive and capacitive contributions, and generalizes previous sheath boundary condition models. The resistive part contributes to parasitic power dissipation at the wall.},
doi = {10.1063/1.4922848},
url = {https://www.osti.gov/biblio/1187967}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 22,
place = {United States},
year = {2015},
month = {6}
}

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Cited by: 6 works
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Works referenced in this record:

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  • Smithe, David N.; D'Ippolito, Daniel A.; Myra, James R.
  • RADIOFREQUENCY POWER IN PLASMAS: Proceedings of the 20th Topical Conference, AIP Conference Proceedings
  • https://doi.org/10.1063/1.4864506

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    Works referencing / citing this record:

    Physics-Based Parametrization Of The Surface Impedance For Radio Frequency Sheaths [Supplemental Data]
    dataset, April 2017


    Physics-Based Parametrization Of The Surface Impedance For Radio Frequency Sheaths [Supplemental Data]
    dataset, April 2017


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    Numerical solutions of Maxwell's equations in 3D in frequency domain with linear sheath boundary conditions
    journal, August 2019