Finite Element Computation of Complex Resonant Frequencies for Penetrable Axisymmetric Bodies
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A finite element based 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 s-plane 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.
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