The Multipole Resonance Probe: Simultaneous Determination of Electron Density and Electron Temperature Using Spectral Kinetic Simulation

TL;DR

This paper presents a spectral kinetic model of the Multipole Resonance Probe (MRP) that accurately predicts electron density and temperature in low-temperature plasma by analyzing resonance spectra, validated through simulations and measurements.

Contribution

The study introduces a spectral kinetic simulation approach for the MRP that accounts for kinetic effects absent in simpler models, enabling simultaneous determination of electron density and temperature.

Findings

Spectral kinetic model accurately predicts resonance frequency and FWHM.

Simulation results agree well with experimental measurements.

Model enables simultaneous electron density and temperature diagnostics.

Abstract

The investigation of the spectral kinetic model of the Multipole Resonance Probe (MRP) is presented and discussed in this paper. The MRP is a radio-frequency driven probe of the particular spherical design, which is suitable for the supervision and control of low-temperature plasma. The importance of the kinetic effects was introduced in the previous study of the spectral kinetic model of the idealized MRP. Such effects particularly dominate the energy loss in a low-pressure regime. Unfortunately, they are absent in the Drude model. With the help of the spectral kinetic scheme, those energy losses can be predicted, and it enables us to obtain the electron temperature from the FWHM in the simulated resonance curve. Simultaneously, the electron density can be derived from the simulated resonance frequency. Good agreements in the comparison between the simulation and the measurement demonstrate the suitability of the presented model.