Kinetic damping in the spectra of the spherical impedance probe

Oberrath, Jens

doi:10.1088/1361-6595/aab745

Cited by 13 publications

(16 citation statements)

References 32 publications

(70 reference statements)

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“…However, in the kinetic spectral response, residual damping appears in the vanishing pressure limit. This collisionless damping can only be interpreted as kinetic effects, which have been verified in further studies [16,[26][27][28]. A brief comparison of the Drude model and kinetic model is shown in Tab.…”

Section: Introductionsupporting

confidence: 54%

Kinetic investigation of the planar Multipole Resonance Probe under arbitrary pressure

Wang¹,

Friedrichs²,

Oberrath³

et al. 2021

Preprint

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Active plasma resonance spectroscopy (APRS) refers to a class of plasma diagnostic methods that use the ability of plasma to resonate at or near the electron plasma frequency for diagnostic purposes. The planar multipole resonance probe (pMRP) is an optimized realization of APRS.It has a non-invasive structure and allows simultaneous measurement of electron density, electron temperature, and electron-neutral collision frequency. Previous work has investigated the pMRP through the Drude model and collision-less kinetic model. The Drude model misses important kinetic effects such as collision-less kinetic damping. The collision-less kinetic model is able to capture pure kinetic effects. However, it is only applicable to the low-pressure plasma. To further study the behavior of the pMRP, we develop a collisional kinetic model in this paper, which applies to arbitrary pressure. In this model, the kinetic equation is coupled to the Poisson equation under the electrostatic approximation. The real part of the general admittance is calculated to describe the spectral response of the probe-plasma system. Both collision-less kinetic damping and collisional damping appear in the spectrum. This model provides a possibility to calculate the electron density, electron temperature, and electron-neutral collision frequency from the measurements.

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Section: Introductionsupporting

confidence: 54%

Kinetic investigation of the planar Multipole Resonance Probe under arbitrary pressure

Wang¹,

Friedrichs²,

Oberrath³

et al. 2021

Preprint

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show abstract

“…Within the last section an explicit expansion of the inner admittance of the idealized spherical MRP is derived and can be used to compute approximated spectra. To compare the first calculated kinetic spectra of the MRP all parameters are taken from Buckley [46] and the spectra will be compared to the kinetic spectra of the spherical IP [45].…”

Section: Spectra Of the Spherical Multipole Resonance Probementioning

confidence: 99%

The spherical multipole resonance probe: kinetic damping in its spectrum

Oberrath¹

2020

Plasma Sources Sci. Technol.

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The multipole resonance probe is one of the recently developed measurement devices to measure plasma parameter like electron density and temperature based on the concept of active plasma resonance spectroscopy. The dynamical interaction between the probe and the plasma in electrostatic, kinetic description can be modeled in an abstract notation based on functional analytic methods.These methods provide the opportunity to derive a general solution, which is given as the response function of the probe-plasma system. It is defined by the matrix elements of the resolvent of an appropriate dynamical operator. Based on the general solution a residual damping for vanishing pressure can be predicted and can only be explained by kinetic effects. Within this manuscript an explicit response function of the multipole resonance probe is derived. Therefore, the resolvent is determined by its algebraic representation based on an expansion in orthogonal basis functions. This allows to compute an approximated response function and its corresponding spectra, which show additional damping due to kinetic effects.

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“…To overcome the limitation, a kinetic investigation is required. In [24][25][26][27], a general kinetic model of the probe-plasma system is discussed, and the functional analytic solutions of its specific geometries are determined. Unfortunately, it remains challenging for the collisionless case, which appears to be greatly relevant to reveal the pure kinetic effects.…”

Section: Introductionmentioning

confidence: 99%

Kinetic Simulation of the Ideal Multipole Resonance Probe

Gong,

Friedrichs,

Oberrath

et al. 2021

Preprint

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Active plasma resonance spectroscopy (APRS) is a process-compatible plasma diagnostic method which utilizes the natural ability of plasmas to resonate on or near the electron plasma frequency.The Multipole Resonance Probe (MRP) is a particular design of APRS that has a high degree of geometric and electric symmetry. The principle of the MRP can be described on the basis of an idealized geometry that is particularly suited for theoretical investigations. In a pressure regime of a few Pa or lower, kinetic effects become important, which can not be predicted by the Drude model. Therefore, in this paper a dynamic model of the interaction of the idealized MRP with a plasma is established. The proposed scheme reveals the kinetic behavior of the plasma that is able to explain the influence of kinetic effects on the resonance structure. Similar to particle-in-cell, the spectral kinetic method iteratively determines the electric field at each particle position, however, without employing any numerical grids. The optimized analytical model ensures the high efficiency of the simulation. Eventually, the presented work is expected to cover the limitation of the Drude model, especially for the determination of the pure collisionless damping caused by kinetic effects.A formula to determine the electron temperature from the half-width ∆ω is proposed.

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Kinetic damping in the spectra of the spherical impedance probe

Cited by 13 publications

References 32 publications

Kinetic investigation of the planar Multipole Resonance Probe under arbitrary pressure

Kinetic investigation of the planar Multipole Resonance Probe under arbitrary pressure

The spherical multipole resonance probe: kinetic damping in its spectrum

Kinetic Simulation of the Ideal Multipole Resonance Probe

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