Vibrations of circular disk dielectric resonators

Author

Lee, P.C.Y. ; Yang, J.S.

Author_Institution

Dept. of Civil Eng. & Oper. Res., Princeton Univ., NJ, USA

fYear

1992

Firstpage

626

Lastpage

638

Abstract

Two-dimensional equations for guided EM waves propagating in a dielectric plate surrounded by free space are employed for the study of vibrations of circular disk dielectric resonators embedded in free space. Closed-form solutions are obtained for which the continuity conditions of the tangential E and H fields at the end faces and the lateral cylindrical surfaces are accommodated. It is found that the solutions represent two types of modes: (1) the modes in which the electric field is transverse to the axis of the disk (TE modes); and (2) the modes in which the magnetic field is transverse to the axis of the resonator (TM modes). Frequency equations are solved and resonance frequencies are computed as functions of the diameter-to-thickness radio and for variations of the refractive index of the resonator. Predicted values are compared with experimental data

Keywords

dielectric resonators; electric fields; magnetic fields; refractive index; TE modes; TM modes; circular disk dielectric resonators; closed-form solutions; continuity conditions; diameter-to-thickness radio; dielectric plate; electric field; end faces; guided EM waves; lateral cylindrical surfaces; magnetic field; refractive index; resonance frequencies; tangential fields; Civil engineering; Closed-form solution; Dielectrics; Magnetic fields; Maxwell equations; Operations research; Permeability; Refractive index; Resonant frequency; Tellurium;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium, 1992. 46th., Proceedings of the 1992 IEEE

Conference_Location

Hershey, PA

Print_ISBN

0-7803-0476-4

Type

conf

DOI

10.1109/FREQ.1992.270051

Filename

270051