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:
-
- 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:
- 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},
journal = {Physics of Plasmas},
number = 6,
volume = 22,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 2015},
month = {Mon Jun 01 00:00:00 EDT 2015}
}
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Works referenced in this record:
Far field sheaths from waves in the ion cyclotron range of frequencies
journal, September 1994
- Myra, J. R.; D’Ippolito, D. A.; Bures, M.
- Physics of Plasmas, Vol. 1, Issue 9
Dynamic model of the electrode sheaths in symmetrically driven rf discharges
journal, August 1990
- Godyak, Valery A.; Sternberg, Natalia
- Physical Review A, Vol. 42, Issue 4
A model of sheath-driven impurity production by ICRF antennas
journal, June 1991
- D'Ippolito, D. A.; Myra, J. R.; Bures, M.
- Plasma Physics and Controlled Fusion, Vol. 33, Issue 6
Instability of the sheath-plasma resonance
journal, February 1988
- Stenzel, R. L.
- Physical Review Letters, Vol. 60, Issue 8
Correlation Analysis of Waves above a Capacitive Plasma Applicator
journal, July 2009
- Gekelman, W.; Barnes, M.; Vincena, S.
- Physical Review Letters, Vol. 103, Issue 4
Low‐power fast wave antenna loading as a radio‐frequency sheath diagnostic
journal, January 1996
- D’Ippolito, D. A.; Myra, J. R.
- Physics of Plasmas, Vol. 3, Issue 1
Theory of the collisional presheath in an oblique magnetic field
journal, March 1994
- Riemann, K. ‐U.
- Physics of Plasmas, Vol. 1, Issue 3
Heat loads on JET plasma facing components from ICRF and LH wave absorption in the SOL
journal, August 2011
- Jacquet, P.; Colas, L.; Mayoral, M. -L.
- Nuclear Fusion, Vol. 51, Issue 10
Self consistent radio-frequency wave propagation and peripheral direct current plasma biasing: Simplified three dimensional non-linear treatment in the “wide sheath” asymptotic regime
journal, September 2012
- Colas, L.; Jacquot, J.; Heuraux, S.
- Physics of Plasmas, Vol. 19, Issue 9
Radiofrequency sheaths and impurity generation by ICRF antennas
journal, April 1989
- Perkins, F. W.
- Nuclear Fusion, Vol. 29, Issue 4
ICRF-enhanced plasma potentials in the SOL of Alcator C-Mod
journal, December 2013
- Ochoukov, R.; Whyte, D. G.; Brunner, D.
- Plasma Physics and Controlled Fusion, Vol. 56, Issue 1
Multiple ion species plasmas with thermal ions in an oblique magnetic field
journal, August 2013
- Hatami, M. M.
- Physics of Plasmas, Vol. 20, Issue 8
Plasma–wall transition in an oblique magnetic field
journal, January 1982
- Chodura, R.
- Physics of Fluids, Vol. 25, Issue 9
Modeling far-field radio-frequency sheaths in Alcator C-Mod
journal, May 2013
- D'Ippolito, D. A.; Myra, J. R.; Ochoukov, R.
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 8
Characterization and performance of a field aligned ion cyclotron range of frequency antenna in Alcator C-Mod
journal, May 2013
- Wukitch, S. J.; Garrett, M. L.; Ochoukov, R.
- Physics of Plasmas, Vol. 20, Issue 5
Fast-wave power flow along SOL field lines in NSTX and the associated power deposition profile across the SOL in front of the antenna
journal, July 2013
- Perkins, R. J.; Ahn, J. -W.; Bell, R. E.
- Nuclear Fusion, Vol. 53, Issue 8
Far-field sheaths due to fast waves incident on material boundaries
journal, October 2008
- D’Ippolito, D. A.; Myra, J. R.; Jaeger, E. F.
- Physics of Plasmas, Vol. 15, Issue 10
Nonlinear ICRF-plasma interactions
journal, June 2006
- Myra, J. R.; D'Ippolito, D. A.; Russell, D. A.
- Nuclear Fusion, Vol. 46, Issue 7
Characterization of heat flux generated by ICRH heating with cantilevered bars and a slotted box Faraday screen
journal, August 2012
- Corre, Y.; Firdaouss, M.; Colas, L.
- Nuclear Fusion, Vol. 52, Issue 10
ICRF operation with improved antennas in ASDEX Upgrade with W wall
journal, August 2013
- Bobkov, V.; Balden, M.; Bilato, R.
- Nuclear Fusion, Vol. 53, Issue 9
Benchmarking sheath subgrid boundary conditions for macroscopic-scale simulations
journal, December 2014
- Jenkins, T. G.; Smithe, D. N.
- Plasma Sources Science and Technology, Vol. 24, Issue 1
The Chodura sheath for angles of a few degrees between the magnetic field and the surface of divertor targets and limiters
journal, July 2012
- Stangeby, P. C.
- Nuclear Fusion, Vol. 52, Issue 8
Comprehensive kinetic analysis of the plasma-wall transition layer in a strongly tilted magnetic field
journal, October 2014
- Tskhakaya, D. D.; Kos, L.
- Physics of Plasmas, Vol. 21, Issue 10
Plasma Resonance in a Radio-Frequency Probe
journal, September 1960
- Takayama, K.; Ikegami, H.; Miyazaki, S.
- Physical Review Letters, Vol. 5, Issue 6
A kinetic trajectory simulation model for magnetized plasma sheath
journal, July 2012
- Chalise, R.; Khanal, R.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 9
Analytical solution for capacitive RF sheath
journal, January 1988
- Lieberman, M. A.
- IEEE Transactions on Plasma Science, Vol. 16, Issue 6
Radio-frequency sheaths physics: Experimental characterization on Tore Supra and related self-consistent modeling
journal, June 2014
- Jacquot, Jonathan; Milanesio, Daniele; Colas, Laurent
- Physics of Plasmas, Vol. 21, Issue 6
Full wave simulations of fast wave heating losses in the scrape-off layer of NSTX and NSTX-U
journal, May 2014
- Bertelli, N.; Jaeger, E. F.; Hosea, J. C.
- Nuclear Fusion, Vol. 54, Issue 8
Power deposition in high‐density inductively coupled plasma tools for semiconductor processing
journal, June 1995
- Jaeger, E. F.; Berry, L. A.; Tolliver, J. S.
- Physics of Plasmas, Vol. 2, Issue 6
A radio-frequency sheath model for complex waveforms
journal, April 2014
- Turner, M. M.; Chabert, P.
- Applied Physics Letters, Vol. 104, Issue 16
Quantitative modeling of ICRF antennas with integrated time domain RF sheath and plasma physics
conference, January 2014
- Smithe, David N.; D'Ippolito, Daniel A.; Myra, James R.
- RADIOFREQUENCY POWER IN PLASMAS: Proceedings of the 20th Topical Conference, AIP Conference Proceedings
Ion-cyclotron range of frequencies in the scrape-off-layer: fine structure radial electric fields
journal, September 2012
- Cziegler, I.; Terry, J. L.; Wukitch, S. J.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 10
Slow-wave propagation and sheath interaction in the ion-cyclotron frequency range
journal, November 2009
- Myra, J. R.; D'Ippolito, D. A.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 1
Experimental investigation of the potentials modified by radio frequency sheaths during ion cyclotron range of frequency on EAST
journal, December 2012
- Qin, C. M.; Zhao, Y. P.; QWang, H.
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 1
ICRF-edge and surface interactions
journal, August 2011
- D’Ippolito, D. A.; Myra, J. R.
- Journal of Nuclear Materials, Vol. 415, Issue 1
Properties of a warm plasma collisional sheath in an oblique magnetic field
journal, November 2012
- Ou, Jing; Yang, Jinhong
- Physics of Plasmas, Vol. 19, Issue 11
Particle trajectories in a sheath in a strongly tilted magnetic field
journal, March 1998
- Cohen, R. H.; Ryutov, D. D.
- Physics of Plasmas, Vol. 5, Issue 3
The interaction between waves in the ion cyclotron range of frequencies and the plasma boundary
journal, November 1993
- Noterdaeme, J. -M; Oost, G. Van
- Plasma Physics and Controlled Fusion, Vol. 35, Issue 11
Radio-frequency sheath-plasma interactions with magnetic field tangency points along the sheath surface
journal, August 2013
- Kohno, H.; Myra, J. R.; D'Ippolito, D. A.
- Physics of Plasmas, Vol. 20, Issue 8
Faraday screen sheaths and impurity production during ion cyclotron heating
journal, May 1990
- Myra, J. R.; D'Ippolito, D. A.; Gerver, M. J.
- Nuclear Fusion, Vol. 30, Issue 5
Numerical analysis of radio-frequency sheath-plasma interactions in the ion cyclotron range of frequencies
journal, January 2012
- Kohno, H.; Myra, J. R.; D’Ippolito, D. A.
- Physics of Plasmas, Vol. 19, Issue 1
A radio-frequency sheath boundary condition and its effect on slow wave propagation
journal, October 2006
- D’Ippolito, D. A.; Myra, J. R.
- Physics of Plasmas, Vol. 13, Issue 10
Connection coefficients for cold plasma wave propagation near metallic surfaces
journal, March 2013
- Van Eester, Dirk; Crombé, Kristel; Kyrytsya, Volodymyr
- Plasma Physics and Controlled Fusion, Vol. 55, Issue 5
ICRF-enhanced plasma potentials in the SOL of Alcator C-Mod
conference, January 2014
- Ochoukov, R.; Whyte, D. G.; Brunner, D.
- RADIOFREQUENCY POWER IN PLASMAS: Proceedings of the 20th Topical Conference, AIP Conference Proceedings
Nonlinear ICRF-Plasma Interactions
conference, January 2005
- Myra, J. R.
- RADIO FREQUENCY POWER IN PLASMAS: 16th Topical Conference on Radio Frequency Power in Plasmas, AIP Conference Proceedings
A radio-frequency sheath model for complex waveforms
preprint, January 2012
- Turner, Miles M.; Chabert, Pascal
- arXiv
Works referencing / citing this record:
Physics-Based Parametrization Of The Surface Impedance For Radio Frequency Sheaths [Supplemental Data]
dataset, April 2017
- Myra, J. R.
- Zenodo-Supplementary information for journal article at DOI: 10.1063/1.4990373, 10 files (179.1 kB)
Numerical investigation of fast-wave propagation and radio-frequency sheath interaction with a shaped tokamak wall
journal, July 2015
- Kohno, H.; Myra, J. R.; D'Ippolito, D. A.
- Physics of Plasmas, Vol. 22, Issue 7
Physics-based parametrization of the surface impedance for radio frequency sheaths
journal, July 2017
- Myra, J. R.
- Physics of Plasmas, Vol. 24, Issue 7
Collisional RF sheath in capacitive discharge in strong oblique magnetic field
journal, January 2019
- Kobelev, A.; Babinov, N.; Barsukov, Yu.
- Physics of Plasmas, Vol. 26, Issue 1
Radio-frequency wave interactions with a plasma sheath in oblique-angle magnetic fields using a sheath impedance model
journal, February 2019
- Kohno, H.; Myra, J. R.
- Physics of Plasmas, Vol. 26, Issue 2
Radio frequency wave interactions with a plasma sheath: The role of wave and plasma sheath impedances
journal, May 2019
- Myra, J. R.; Kohno, H.
- Physics of Plasmas, Vol. 26, Issue 5
Numerical model of the radio-frequency magnetic presheath including wall impurities
journal, September 2019
- Elias, M.; Curreli, D.; Jenkins, T. G.
- Physics of Plasmas, Vol. 26, Issue 9
Numerical solutions of Maxwell's equations in 3D in frequency domain with linear sheath boundary conditions
journal, August 2019
- Tierens, W.; Urbanczyk, G.; Colas, L.
- Physics of Plasmas, Vol. 26, Issue 8
The effect of energetic electrons on the collisionless fusion plasma sheath in ion cyclotron range of frequencies heating
journal, December 2019
- Ou, Jing; An, Xin; Men, Zongzheng
- Physics of Plasmas, Vol. 26, Issue 12
Modelling of radio frequency sheath and fast wave coupling on the realistic ion cyclotron resonant antenna surroundings and the outer wall
journal, January 2018
- Lu, L.; Colas, L.; Jacquot, J.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 3
Calculation of RF sheath properties from surface wave-fields: a post-processing method
journal, July 2019
- Myra, J. R.; Kohno, H.
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 9
Physics-Based Parametrization Of The Surface Impedance For Radio Frequency Sheaths [Supplemental Data]
dataset, April 2017
- Myra, J. R.
- Zenodo-Supplementary information for journal article at DOI: 10.1063/1.4990373, 10 files (179.1 kB)
Radio-frequency wave interactions with a plasma sheath in oblique-angle magnetic fields using a sheath impedance model
text, January 2018
- Kohno, H.; Myra, J. R.
- Zenodo
Radio frequency wave interactions with a plasma sheath: the role of wave and plasma sheath impedances
text, January 2018
- Myra, J. R.; Kohno, H.
- Zenodo