Convergence analysis of an approximated response function of the impedance probe

Activity: Talk or presentationPresentations (poster etc.)Research

Jan Hendrik Röhl - Speaker

Jens Oberrath - Coauthor

    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.
    13.03.2017

    Event

    DPG Frühjahrstagung 2017

    13.03.1717.03.17

    Bremen, Germany

    Event: Conference