Physics-based parametrization of the surface impedance for radio frequency sheaths

doi:https://doi.org/10.1063/1.4990373

Title: Physics-based parametrization of the surface impedance for radio frequency sheaths

Abstract

The properties of sheaths near conducting surfaces are studied for the case where both magnetized plasma and intense radio frequency (rf) waves coexist. The work is motivated primarily by the need to understand, predict and control ion cyclotron range of frequency (ICRF) interactions with tokamak scrape-off layer plasmas, and is expected to be useful in modeling rf sheath interactions in global ICRF codes. Here, employing a previously developed model for oblique angle magnetized rf sheaths [J. R. Myra and D. A. D’Ippolito, Phys. Plasmas 22, 062507 (2015)], an investigation of the four-dimensional parameter space governing these sheath is carried out. By combining numerical and analytical results, a parametrization of the surface impedance and voltage rectification for rf sheaths in the entire four-dimensional space is obtained.

Authors:

^[1]

Lodestar Research Corporation, Boulder, CO (United States)

Publication Date:: 2017-07-07

Research Org.:: Lodestar Research Corp., Boulder, CO (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1368368

Alternate Identifier(s):: OSTI ID: 1368600

Report Number(s):: DOE-ER/-54823-19; LRC-17-170
Journal ID: ISSN 1070-664X

Grant/Contract Number:: FC02-05ER54823; FG02-97ER54392

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 24; Journal Issue: 7; 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; impedance; rectification; magnetized; ICRF; tokamak

Citation Formats


                    Myra, J. R. Physics-based parametrization of the surface impedance for radio frequency sheaths.  United States: N. p., 2017. 
        Web.  doi:10.1063/1.4990373.

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                    Myra, J. R. Physics-based parametrization of the surface impedance for radio frequency sheaths.  United States.  https://doi.org/10.1063/1.4990373

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                    Myra, J. R. Fri .  
        "Physics-based parametrization of the surface impedance for radio frequency sheaths".  United States.  https://doi.org/10.1063/1.4990373.  https://www.osti.gov/servlets/purl/1368368.

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@article{osti_1368368,

  title        = {Physics-based parametrization of the surface impedance for radio frequency sheaths},

  author       = {Myra, J. R.},

  abstractNote = {The properties of sheaths near conducting surfaces are studied for the case where both magnetized plasma and intense radio frequency (rf) waves coexist. The work is motivated primarily by the need to understand, predict and control ion cyclotron range of frequency (ICRF) interactions with tokamak scrape-off layer plasmas, and is expected to be useful in modeling rf sheath interactions in global ICRF codes. Here, employing a previously developed model for oblique angle magnetized rf sheaths [J. R. Myra and D. A. D’Ippolito, Phys. Plasmas 22, 062507 (2015)], an investigation of the four-dimensional parameter space governing these sheath is carried out. By combining numerical and analytical results, a parametrization of the surface impedance and voltage rectification for rf sheaths in the entire four-dimensional space is obtained.},

  doi          = {10.1063/1.4990373},

  url          = {https://www.osti.gov/biblio/1368368},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 7,

  volume       = 24,

  place        = {United States},

  year         = {2017},

  month        = {7}

}

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Works referenced in this record:

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
https://doi.org/10.1063/1.4926449

Sheath model for radio-frequency-biased, high-density plasmas valid for all $ω / ω_{i}$
journal, December 2000

Sobolewski, Mark A.
Physical Review E, Vol. 62, Issue 6
https://doi.org/10.1103/PhysRevE.62.8540

Theory of the collisional presheath in an oblique magnetic field
journal, March 1994

Riemann, K. ‐U.
Physics of Plasmas, Vol. 1, Issue 3
https://doi.org/10.1063/1.870800

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
https://doi.org/10.1063/1.4750046

Radiofrequency sheaths and impurity generation by ICRF antennas
journal, April 1989

Perkins, F. W.
Nuclear Fusion, Vol. 29, Issue 4
https://doi.org/10.1088/0029-5515/29/4/004

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
https://doi.org/10.1088/0741-3335/56/1/015004

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
https://doi.org/10.1063/1.4922848

Plasma–wall transition in an oblique magnetic field
journal, January 1982

Chodura, R.
Physics of Fluids, Vol. 25, Issue 9
https://doi.org/10.1063/1.863955

Evidence of stochastic diffusion across a cross-field sheath due to Kelvin-Helmholtz vortices
journal, March 1992

Parker, S. E.; Xu, X. Q.; Lichtenberg, A. J.
Physical Review A, Vol. 45, Issue 6
https://doi.org/10.1103/PhysRevA.45.3949

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
https://doi.org/10.1088/0741-3335/55/8/085001

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
https://doi.org/10.1063/1.4803882

Experimental study of sheath currents in the scrape-off layer during ICRH on TEXTOR
journal, April 1992

Nieuwenhove, R. Van; Oost, G. Van
Plasma Physics and Controlled Fusion, Vol. 34, Issue 4
https://doi.org/10.1088/0741-3335/34/4/011

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
https://doi.org/10.1088/0029-5515/53/8/083025

Nonlinear ICRF-plasma interactions
journal, June 2006

Myra, J. R.; D'Ippolito, D. A.; Russell, D. A.
Nuclear Fusion, Vol. 46, Issue 7
https://doi.org/10.1088/0029-5515/46/7/S08

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
https://doi.org/10.1088/0029-5515/52/10/103010

Plasma–wall interaction in an oblique magnetic field: Model of the space-charge sheath for large potentials and small Debye lengths
journal, November 1999

Ahedo, E.
Physics of Plasmas, Vol. 6, Issue 11
https://doi.org/10.1063/1.873686

Kinetic Theory Analysis of Sheaths and Shocks
journal, January 1996

Ryutov, D. D.
Contributions to Plasma Physics, Vol. 36, Issue 2-3
https://doi.org/10.1002/ctpp.2150360221

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
https://doi.org/10.1088/0029-5515/53/9/093018

Analytical solution for capacitive RF sheath
journal, January 1988

Lieberman, M. A.
IEEE Transactions on Plasma Science, Vol. 16, Issue 6
https://doi.org/10.1109/27.16552

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
https://doi.org/10.1063/1.4884778

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
https://doi.org/10.1088/0029-5515/54/8/083004

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
https://doi.org/10.1063/1.871222

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
https://doi.org/10.1063/1.4864506

Electric sheath between a metal surface and a magnetized plasma
journal, January 1981

Daybelge, U.
Physics of Fluids, Vol. 24, Issue 6
https://doi.org/10.1063/1.863508

Plasma sheath properties in a magnetic field parallel to the wall
journal, June 2016

Moritz, J.; Faudot, E.; Devaux, S.
Physics of Plasmas, Vol. 23, Issue 6
https://doi.org/10.1063/1.4953897

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
https://doi.org/10.1088/0741-3335/54/10/105019

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
https://doi.org/10.1088/0741-3335/52/1/015003

Sheath structure in a magnetized plasma
journal, June 1993

Holland, D. L.; Fried, B. D.; Morales, G. J.
Physics of Fluids B: Plasma Physics, Vol. 5, Issue 6
https://doi.org/10.1063/1.860806

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
https://doi.org/10.1088/0741-3335/55/1/015004

ICRF-edge and surface interactions
journal, August 2011

D’Ippolito, D. A.; Myra, J. R.
Journal of Nuclear Materials, Vol. 415, Issue 1
https://doi.org/10.1016/j.jnucmat.2010.08.039

Drifts, boundary conditions and convection on open field lines
journal, May 1999

Cohen, Ronald H.; Ryutov, Dmitri
Physics of Plasmas, Vol. 6, Issue 5
https://doi.org/10.1063/1.873455

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
https://doi.org/10.1088/1361-6587/59/2/025014

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
https://doi.org/10.1088/0741-3335/35/11/001

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
https://doi.org/10.1063/1.4818991

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
https://doi.org/10.1063/1.3677262

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
https://doi.org/10.1063/1.4960384

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
https://doi.org/10.1063/1.2360507

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
https://doi.org/10.1088/0741-3335/55/5/055001

The influence of magnetization strength on the sheath: Implications for flush-mounted probes
journal, December 1997

Gunn, J. P.
Physics of Plasmas, Vol. 4, Issue 12
https://doi.org/10.1063/1.872608