Numerical calculation of electromagnetic toroidal resonators
Abstract
Starting from the Lagrange function for electromagnetic fields, the eigenmodes and eigenfrequencies are calculated for an empty toroidal resonator with circular cross section. The calculation uses a RayleighRitz method, in which the vector potential of the electromagnetic field is represented in a space of vector trial functions. With this method it was possible to treat the general nonuniform case to compute the full set of E and H modes, where the forty lowest eigenvalues are approximated with an accuracy of approximately 0.0001.
 Publication:

Archiv Elektronik und Uebertragungstechnik
 Pub Date:
 February 1984
 Bibcode:
 1984ArElU..38...30K
 Keywords:

 Cavity Resonators;
 Electromagnetic Fields;
 Network Analysis;
 Eigenvalues;
 Potential Theory;
 RayleighRitz Method;
 Toroids;
 Vector Analysis;
 Electronics and Electrical Engineering