Kinetic investigation of the planar Multipole Resonance Probe in the low-pressure plasma

TL;DR

This paper develops a collision-less kinetic model using the Vlasov and Poisson equations to analyze the planar Multipole Resonance Probe in low-pressure plasma, capturing effects missed by previous Drude-based models.

Contribution

It introduces a kinetic model for the pMRP that includes collision-less damping effects, improving understanding of its spectral response in low-pressure plasma.

Findings

Kinetic effects significantly influence the probe's spectral response.

The model overcomes limitations of the Drude model.

Enhanced understanding of plasma-probe interactions at low pressure.

Abstract

Active Plasma Resonance Spectroscopy (APRS) is a well-established plasma diagnostic method: a radio frequency signal is coupled into the plasma via a probe or antenna, excites it to oscillate, and the response is evaluated through a mathematical model. The majority of APRS probes are invasive and perturb the plasma by their physical presence. The planar Multipole Resonance Probe (pMRP) solves this problem: it can be integrated into the chamber wall and minimizes the perturbation. Previous work has studied the pMRP in the frame of the Drude model, but it misses important effects like collision-less damping. In this work, a collision-less kinetic model is developed to further investigate the behavior of the pMRP. This model consists of the Vlasov equation, which is coupled with the Poisson equation under electrostatic approximation. The spectral response of the probe-plasma system is found by calculating the complex admittance. This model covers the kinetic effects and overcomes the limitations of the Drude model.