Radio frequency sheaths in an oblique magnetic field

Myra, James R.; D'Ippolito, Daniel A.

doi:10.1063/1.4922848

Radio frequency sheaths in an oblique magnetic field

Journal Article · Mon Jun 01 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4922848· OSTI ID:1187967

Myra, James R. ^[1]; D'Ippolito, Daniel A. ^[2]

Lodestar Research Corp., Boulder, CO (United States); Lodestar Research Corporation
Lodestar Research Corp., Boulder, CO (United States)

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.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: FG02-97ER54392

OSTI ID:: 1187967

Alternate ID(s):: OSTI ID: 1228643
OSTI ID: 22489994

Report Number(s):: LRC--15-161

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 22; ISSN PHPAEN; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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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
The effect of energetic electrons on the collisionless fusion plasma sheath in ion cyclotron range of frequencies heating Ou, Jing; An, Xin; Men, Zongzheng Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5127085	journal	December 2019
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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. Zenodo https://doi.org/10.5281/zenodo.2284968	text	January 2018

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