Influence of kinetic effects on the spectrum of a parallel electrode probe

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Active plasma resonance spectroscopy (APRS) denotes a class of diagnostic techniques which utilize the natural ability of plasmas to resonate on or near the electron plasma frequency ω p. One particular class of APRS can be described in an abstract notation based on functional analytic methods in electrostatic approximation. These methods allow for a general solution of the kinetic model in arbitrary geometry. This solution is given as the response function of the probe-plasma system and is defined by the resolvent of an appropriate dynamical operator. The general response predicts an additional damping due to kinetic effects. This manuscript provides the derivation of an explicit response function of the kinetic APRS model in a simple geometry. Therefore, the resolvent is determined by its matrix representation based on an expansion in orthogonal basis functions. This allows to compute an approximated response function. The resulting spectra show clearly a stronger damping due to kinetic effects.

Original languageEnglish
Article number065020
JournalPlasma Sources Science and Technology
Issue number6
Pages (from-to)1-16
Number of pages16
Publication statusPublished - 12.2016

    Research areas

  • Engineering - active plasma resonance spectroscopy, kinetic damping, multipole resonance probe, boltzmann equation, kinetic theory, functional analysis