Collisionless Spectral-Kinetic Simulation of the Multipole Resonance Probe on GPU

Christian Schilling, Wladislaw Dobrygin, Daniel Szeremley, Jens Oberrath, Denis Eremin, Thomas Mussenbrock, Ralf Peter Brinkmann

40th IEEE In­ter­na­tio­nal Con­fe­rence on Plas­ma Sci­ence (ICOPS) & Pul­sed Power and Plas­ma Sci­ence (PPPS) 2013, San Fran­cis­co (Ca­li­for­nia), USA, 17-21 June


Abstract

Plasma resonance spectroscopy is a well established plasma diagnostic method realized in several designs. One of these designs is the multipole resonance probe (MRP)1. In its idealized geometrically simplified version it consists of two dielectrically shielded, hemispherical electrodes to which an RF signal is applied. A numerical tool is under development, which is capable of simulating the dynamics of the plasma surrounding the MRP in electrostatic approximation. In the simulation the potential is separeted in an inner and a vacuum potential. The inner potential is influenced by the charged partilces and is calculated by a specialized Poisson solver . The vacuum potential fulfills Laplace’s equetion and consists of the applied voltage of the probe as boundary condition. Both potentials are expanded in spherical harmonics. For a practical particle pusher implementation, the expansion must be appropriately truncated. Compared to a PIC simulation a grid is unnecessary to calculate the force on the particles. To reduce the simulation time the code is parallelized and used on a GPU. This work purpose is a collisionless kinetic simulation, which can be used to investigate kinetic effects on the resonance behavior of the MRP.

1. M. Lapke et al., “The Multipole Resonance Probe (MRP): A concept for simultaneous determination of plasma density, electron temperature, and collision rate in low-pressure plasma”, Appl. Phys. Lett. 93, 2008, 051502

tags: Collisionless, GPU, spectral kinetic simulation