Evaluation of resonant modes in isolated dielectric resonators using a surface integral equation formulation
Abstract
The numerical procedure is presented for evaluation of the resonant frequencies, radiation Q factors, and modal field patterns of isolated dielectric resonators. The method is based on the solution of the scattering problem for a dielectric body of revolution, developed by Glisson and Wilton. A dielectric resonator can be modeled as a body of revolution. The natural resonances of this body of revolution are the homogeneous solutions of the methodofmoments matrix equation. To find the electromagnetic field distribution, the equivalent modal currents on the surface of the resonator are computed by a Gaussian elimination scheme. After the modal currents are found, the modal fields at any point in space are obtained by a vector summation of the contributions due to each of the current elements. The computergenerated field plots for several modes are presented. The resonant frequencies and the Q factors have been also measured by using the network analyzer.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 August 1984
 Bibcode:
 1984STIN...8521528J
 Keywords:

 Dielectrics;
 Integral Equations;
 Microwaves;
 Numerical Analysis;
 Resonant Frequencies;
 Resonators;
 Distribution (Property);
 Electromagnetic Fields;
 Evaluation;
 Gaussian Elimination;
 Mathematical Models;
 Q Factors;
 Electronics and Electrical Engineering