2D finite element program to compute resonant frequencies and 3D visualization of electromagnetic modes in cylindrical resonators

A two-dimensional finite element program called CYRES to compute the electromagnetic resonant frequencies and corresponding modes of cylindrical cavity resonators loaded with anisotropic dielectric is presented. Half of the longitudinal plane of the resonator is analyzed with a two-dimensional mesh assuming a sinusoidal dependence in azimuth. The finite element package consists of PC-based pre- and post-processors, as well as the finite element processor implemented in UNIX. The preprocessor allows for the automatic graphical generation of the finite element mesh. The finite element processor computes the resonant frequencies along with the electromagnetic modes. The postprocessor is used to display the magnetic and electric fields at three different sectional planes of the cylindrical resonator. The display is in the form of color contours representing magnitudes of the field vector, and arrows indicating the three-dimensional orientation of the vector. Visualization is available on longitudinal, transverse and circumferential planes. The numerical results obtained are in excellent agreement with closed form solutions for the empty cavity and coaxial resonator, and with experimental resonant frequency measurements made on a shielded dielectric-loaded sapphire resonator.<
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