A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model

Kohno, H.; Myra, J. R.

doi:10.1016/j.cpc.2017.06.025

Title: A finite element procedure for radio-frequency sheath–plasma interactions based on a sheath impedance model

Journal Article · Mon Jul 24 00:00:00 EDT 2017 · Computer Physics Communications

DOI: https://doi.org/10.1016/j.cpc.2017.06.025 · OSTI ID:1395550

Kohno, H. ^[1]; Myra, J. R. ^[2]

Kyushu Institute of Technology, Fukuoka (Japan); Lodestar Research Corporation
Lodestar Research Corp., Boulder, CO (United States)

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.

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

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)

Grant/Contract Number:: FC02-05ER54823

OSTI ID:: 1395550

Report Number(s):: DOE--ER/54823-21; LRC-17-172; PII: S0010465517302072

Journal Information:: Computer Physics Communications, Journal Name: Computer Physics Communications Journal Issue: C Vol. 220; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Radio frequency wave interactions with a plasma sheath: The role of wave and plasma sheath impedances Myra, J. R.; Kohno, H. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5088343	journal	May 2019
Numerical model of the radio-frequency magnetic presheath including wall impurities Elias, M.; Curreli, D.; Jenkins, T. G. Physics of Plasmas, Vol. 26, Issue 9 https://doi.org/10.1063/1.5109256	journal	September 2019
Numerical solutions of Maxwell's equations in 3D in frequency domain with linear sheath boundary conditions Tierens, W.; Urbanczyk, G.; Colas, L. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5111500	journal	August 2019
Modelling of radio frequency sheath and fast wave coupling on the realistic ion cyclotron resonant antenna surroundings and the outer wall Lu, L.; Colas, L.; Jacquot, J. Plasma Physics and Controlled Fusion, Vol. 60, Issue 3 https://doi.org/10.1088/1361-6587/aaa030	journal	January 2018
Calculation of RF sheath properties from surface wave-fields: a post-processing method Myra, J. R.; Kohno, H. Plasma Physics and Controlled Fusion, Vol. 61, Issue 9 https://doi.org/10.1088/1361-6587/ab2f41	journal	July 2019
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