Theory and simulation of cyclotron heating in a linear octupole
Abstract
A simple conductivity model is used to calculate the cyclotron heating rate (electron or ion) in an arbitrary nonuniform magnetic field. The result is applied to an ideal linear octupole field, which, because of its complexity, offers a severe test of the theory. The theory is compared with the results of a numerical simulation in which the trajectories and average energy of a collection of noninteracting particles are calculated as a function of time. The theory and simulation are in surprisingly good agreement over a wide range of heating frequency, plasma temperature, electric field strength, and wave number.
 Publication:

RF Plasma Heating
 Pub Date:
 1974
 Bibcode:
 1974rfph.confR...2S
 Keywords:

 Computerized Simulation;
 Cyclotron Radiation;
 Magnetic Field Configurations;
 Multipoles;
 Plasma Conductivity;
 Plasma Heating;
 Electric Field Strength;
 Mathematical Models;
 Particle Trajectories;
 Tensor Analysis;
 Plasma Physics