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 -