Cyclotron harmonic absorption via the Green's function for the mode conversiontunneling equation
Abstract
Cyclotron harmonic absorption is included in the analysis of the mode conversiontunneling process by solving for the Green's function of the fourthorder mode conversiontunneling equation. For the first cyclotron harmonic where ω≈2ω_{ci} and the wave propagates exactly across the magnetic field, the solution is given in closed form in terms of the basic homogeneous solutions. For finite k_{∥}, the solution is given by solving an integral equation where the kernel is not selfadjoint since the basic mode conversiontunneling equation is not selfadjoint. For cavity modes, it appears that mode conversion losses are generally greater than harmonic cyclotron absorption losses although both are of the same order, and the result implies that electron heating may dominate ion heating for these processes.
 Publication:

Physics of Fluids
 Pub Date:
 June 1978
 DOI:
 10.1063/1.862335
 Bibcode:
 1978PhFl...21..926S
 Keywords:

 Cyclotron Radiation;
 Green'S Functions;
 Harmonic Analysis;
 Plasma Physics;
 Wave Attenuation;
 Magnetic Fields;
 Matrices (Mathematics);
 Propagation Modes;
 Standing Waves;
 Toroidal Plasmas;
 Wave Equations;
 Plasma Physics