Toroidal TrivelpieceGould modes
Abstract
Electron plasma waves are treated in quasielectrostatic approximation in a toroidal cavity of rectangular crosssection in an infinitely strong azimuthal magnetic field. The differential equation for the electrostatic potential, derived from fluid equations, can be separated using cylindrical coordinates. The eigenvalue problem for the radial dependence is solved numerically by a shooting method. Eigenvalues are given for different aspect ratios. Comparison with appropriate modes of the straight geometry shows that the toroidal frequencies generally lie some percent above those for the straight case. Plots of the eigenfunctions demonstrate clearly the influence of toroidicity. The deviation from symmetry (which should appear for straight geometry) depends not only on the aspect ratio but also strongly on the mode numbers.
 Publication:

Plasma Physics
 Pub Date:
 December 1979
 DOI:
 10.1088/00321028/21/12/004
 Bibcode:
 1979PlPh...21.1031S
 Keywords:

 Electrostatics;
 Fusion Reactors;
 Plasma Cylinders;
 Plasma Frequencies;
 Plasma Waves;
 Toroidal Plasmas;
 Controlled Fusion;
 Eigenvalues;
 Eigenvectors;
 Electron Plasma;
 Energy Technology;
 Modal Response;
 Performance Prediction;
 Plasma Control;
 Plasma Physics