Influence of kinetic effects on the spectrum of a parallel electrode probe
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In: Plasma Sources Science and Technology, Vol. 25, No. 6, 065020, 12.2016, p. 1-16.
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - Influence of kinetic effects on the spectrum of a parallel electrode probe
AU - Oberrath, Jens
AU - Brinkmann, R. P.
PY - 2016/12
Y1 - 2016/12
N2 - 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.
AB - 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.
KW - Engineering
KW - active plasma resonance spectroscopy
KW - kinetic damping
KW - multipole resonance probe
KW - boltzmann equation
KW - kinetic theory
KW - functional analysis
UR - http://www.scopus.com/inward/record.url?scp=85003876054&partnerID=8YFLogxK
U2 - 10.1088/0963-0252/25/6/065020
DO - 10.1088/0963-0252/25/6/065020
M3 - Journal articles
VL - 25
SP - 1
EP - 16
JO - Plasma Sources Science and Technology
JF - Plasma Sources Science and Technology
SN - 0963-0252
IS - 6
M1 - 065020
ER -