A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model
Abstract
A finite element code that solves self-consistent radio-frequency (RF) sheath-plasma interaction problems is improved by incorporating a generalized sheath boundary condition in the macroscopic solution scheme. This sheath boundary condition makes use of a complex sheath impedance including both the sheath capacitance and resistance, which enables evaluation of not only the RF voltage across the sheath but also the power dissipation in the sheath. The newly developed finite element procedure is applied to cases where the background magnetic field is perpendicular to the sheath surface in one- and two-dimensional domains filled by uniform low- and high-density plasmas. The numerical results are compared with those obtained by employing the previous capacitive sheath model at a typical frequency for ion cyclotron heating used in fusion experiments. It is shown that for sheaths on the order of 100 V in a high-density plasma, localized RF power deposition can reach a level which causes material damage. It is also shown that the sheath-plasma wave resonances predicted by the capacitive sheath model do not occur when parameters are such that the generalized sheath impedance model substantially modifies the capacitive character of the sheath. Here, possible explanations for the difference in the maximum RF sheath voltagemore »
- Authors:
-
- Kyushu Institute of Technology, Fukuoka (Japan)
- 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:
- 1395550
- Alternate Identifier(s):
- OSTI ID: 1549662
- Report Number(s):
- DOE-ER/54823-21; LRC-17-172
Journal ID: ISSN 0010-4655; PII: S0010465517302072; TRN: US1702241
- Grant/Contract Number:
- FC02-05ER54823; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computer Physics Communications
- Additional Journal Information:
- Journal Volume: 220; Journal Issue: C; Related Information: http://dx.doi.org/10.1016/j.cpc.2017.06.025; Journal ID: ISSN 0010-4655
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; radio-frequency sheaths; magnetic confinement fusion; finite-element-method; plasma waves; plasma-surface interactions; cold plasma
Citation Formats
Kohno, H., and Myra, J. R. A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model. United States: N. p., 2017.
Web. doi:10.1016/j.cpc.2017.06.025.
Kohno, H., & Myra, J. R. A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model. United States. https://doi.org/10.1016/j.cpc.2017.06.025
Kohno, H., and Myra, J. R. Mon .
"A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model". United States. https://doi.org/10.1016/j.cpc.2017.06.025. https://www.osti.gov/servlets/purl/1395550.
@article{osti_1395550,
title = {A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model},
author = {Kohno, H. and Myra, J. R.},
abstractNote = {A finite element code that solves self-consistent radio-frequency (RF) sheath-plasma interaction problems is improved by incorporating a generalized sheath boundary condition in the macroscopic solution scheme. This sheath boundary condition makes use of a complex sheath impedance including both the sheath capacitance and resistance, which enables evaluation of not only the RF voltage across the sheath but also the power dissipation in the sheath. The newly developed finite element procedure is applied to cases where the background magnetic field is perpendicular to the sheath surface in one- and two-dimensional domains filled by uniform low- and high-density plasmas. The numerical results are compared with those obtained by employing the previous capacitive sheath model at a typical frequency for ion cyclotron heating used in fusion experiments. It is shown that for sheaths on the order of 100 V in a high-density plasma, localized RF power deposition can reach a level which causes material damage. It is also shown that the sheath-plasma wave resonances predicted by the capacitive sheath model do not occur when parameters are such that the generalized sheath impedance model substantially modifies the capacitive character of the sheath. Here, possible explanations for the difference in the maximum RF sheath voltage depending on the plasma density are also discussed.},
doi = {10.1016/j.cpc.2017.06.025},
journal = {Computer Physics Communications},
number = C,
volume = 220,
place = {United States},
year = {Mon Jul 24 00:00:00 EDT 2017},
month = {Mon Jul 24 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 13 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
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
Combined rf and transport effects in magnetized capacitive discharges
journal, October 2006
- Carter, M. D.; Ryan, P. M.; Hoffman, D.
- Journal of Applied Physics, Vol. 100, Issue 7
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
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
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
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
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
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
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
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
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
Progress on ion cyclotron range of frequencies heating physics and technology in support of the International Tokamak Experimental Reactor
journal, November 2014
- Wilson, J. R.; Bonoli, P. T.
- Physics of Plasmas, Vol. 22, Issue 2
The contribution of radio-frequency rectification to field-aligned losses of high-harmonic fast wave power to the divertor in the National Spherical Torus eXperiment
journal, April 2015
- Perkins, R. J.; Hosea, J. C.; Jaworski, M. A.
- Physics of Plasmas, Vol. 22, Issue 4
High-performance finite-difference time-domain simulations of C-Mod and ITER RF antennas
conference, January 2015
- Jenkins, Thomas G.; Smithe, David N.
- RADIO FREQUENCY POWER IN PLASMAS: Proceedings of the 21st Topical Conference, AIP Conference Proceedings
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
Erratum: “Numerical investigation of fast-wave propagation and radio-frequency sheath interaction with a shaped tokamak wall” [Phys. Plasmas 22 , 072504 (2015)]
journal, August 2016
- Kohno, H.; Myra, J. R.; D'Ippolito, D. A.
- Physics of Plasmas, Vol. 23, Issue 8
First results with 3-strap ICRF antennas in ASDEX Upgrade
journal, July 2016
- Bobkov, V.; Braun, F.; Dux, R.
- Nuclear Fusion, Vol. 56, Issue 8
Spatial proximity effects on the excitation of sheath RF voltages by evanescent slow waves in the ion cyclotron range of frequencies
journal, January 2017
- Colas, Laurent; Lu, Ling-Feng; Křivská, Alena
- Plasma Physics and Controlled Fusion, Vol. 59, Issue 2
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
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
A finite element procedure for radio-frequency sheath–plasma interactions in the ion cyclotron range of frequencies
journal, October 2012
- Kohno, H.; Myra, J. R.; D’Ippolito, D. A.
- Computer Physics Communications, Vol. 183, Issue 10
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
Radio frequency sheaths in an oblique magnetic field
journal, June 2015
- Myra, J. R.; D'Ippolito, D. A.
- Physics of Plasmas, Vol. 22, Issue 6
Works referencing / citing this record:
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
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
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
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