Bremen 2017 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 22: Theory and Modelling II

P 22.3: Poster

Mittwoch, 15. März 2017, 16:30–18:30, HS Foyer

Convergence analysis of an approximated response function of the impedance probe — •Jan Hendrik Röhl and Jens Oberrath — Institute of Product and Process Innovation, Modelling within Local Engineering, Leuphana University Lüneburg, 21339 Lüneburg, Germany

Active plasma resonance spectroscopy (APRS) is a widely used method to measure plasma parameters like electron density and electron temperature. In Plasmas of a few Pa measurements with APRS probes typically show a broadening of the spectrum due to kinetic effects. A general kinetic model in electrostatic approximation based on functional analytic methods has been presented to analyze the broadening in the spectra of these probes [1]. One of the main results is, that the system response function Y is given in terms of the matrix elements of the resolvent of the dynamic operator evaluated for values on the imaginary axis.

The dynamic operator is approximated by a huge matrix, which is given by a banded block structure. This structure allows to apply a block-based LU decomposition to determine the response function of the impedance probe with a minimum of computation time. However, a convergence analysis dependent on the dimension of the approximated matrix is necessary to analyze the final broadening of the spectra, especially in the collisionless case.

[1] J. Oberrath and R.P. Brinkmann, Plasma Sources Sci. Technol. 23, 045006 (2014).

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