Finite element computation of complex resonant frequencies for penetrable axisymmetric bodies
Abstract
A finiteelementbased electromagnetic scattering program is used to identify the complex natural resonances for axisymmetric dielectric bodies. These resonances are found by way of a complex frequency splane search for the zeroes of the determinant of the global system matrix which represents the scattering solution. Examination of the behavior of the elements of this matrix also reveals the mode type, either TE or TM, the meridional order and the azimuth index. Computational examples are presented for the cases of a penetrable sphere, a 2:1 prolate spheroid and a 1:1 finite right circular cylinder, each composed of high density lossless dielectric.
 Publication:

Journal of Electromagnetic Waves and Applications
 Pub Date:
 1989
 DOI:
 10.1163/156939389X00331
 Bibcode:
 1989JEWA....3..129M
 Keywords:

 Axisymmetric Bodies;
 Dielectrics;
 Electromagnetic Scattering;
 Finite Element Method;
 Resonant Frequencies;
 Cylinders;
 Magnetic Poles;
 Matrices (Mathematics);
 Penetration;
 Spheres;
 Electronics and Electrical Engineering