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

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.

References in corpus (6)

• Active plasma resonance spectroscopy: A functional analytic description
• Active plasma resonance spectroscopy: A kinetic functional analytic description
• Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry
• Influence of kinetic effects on the spectrum of a parallel electrode probe
• Kinetic damping in the spectra of the spherical impedance probe
• The spherical multipole resonance probe: kinetic damping in its spectrum

Cited by in corpus (1)

• Kinetic investigation of the planar Multipole Resonance Probe under arbitrary pressure