On the complex resonant frequency of open dielectric resonators
Abstract
An analytical method is presented for calculating accurately the complex resonant frequency of dielectric pillbox resonators. In this method, an approximted field of the resonator is expanded into a truncated series of solutions of the Helmholtz equation in the spherical coordinates, and the boundary condition on the resonator surface is treated in the least-squares sense. The resonant frequency and the intrinsic Q value due to radiation loss are obtained in the form of approximation converging to the exact values. Numerical results are compared with previously published calculations, which show that the present method is a relatively simple and effective one.
- Publication:
-
IEEE Transactions on Microwave Theory Techniques
- Pub Date:
- May 1983
- DOI:
- 10.1109/TMTT.1983.1131509
- Bibcode:
- 1983ITMTT..31..392T
- Keywords:
-
- Cavity Resonators;
- Complex Variables;
- Dielectrics;
- Microwave Resonance;
- Performance Prediction;
- Resonant Frequencies;
- Boundary Conditions;
- Boundary Value Problems;
- Design Analysis;
- Energy Dissipation;
- Field Mode Theory;
- Helmholtz Equations;
- Q Factors;
- Radiative Transfer;
- Electronics and Electrical Engineering