Determination of the eigenfrequencies of a ferrite-filled cylindrical cavity resonator using the finite element method

A formulation of the Finite Element Method (FEM) particular to axisymmetric problems containing anisotropic media is compared to an analytic solution. In particular, the resonant frequencies of a longitudinally biased ferrite-filled cylindrical cavity are examined. For comparison, a solution of the...

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Bibliographic Details
Published in:	IEEE transactions on microwave theory and techniques 1995-05, Vol.43 (5), p.1207-1209
Main Authors:	Chinn, G.C., Epp, L.W., Wilkins, G.M.
Format:	Article
Language:	eng
Subjects:	Anisotropic magnetoresistance Applied sciences Boundary conditions Cavity resonators Circuit properties Eigenvalues and eigenfunctions Electric, optical and optoelectronic circuits Electronics Equations Exact sciences and technology Ferrites Finite element methods Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits Propulsion Resonant frequency Tensile stress
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Summary:	A formulation of the Finite Element Method (FEM) particular to axisymmetric problems containing anisotropic media is compared to an analytic solution. In particular, the resonant frequencies of a longitudinally biased ferrite-filled cylindrical cavity are examined. For comparison, a solution of the characteristic equation for the lossless, ferrite-filled cylindrical waveguide was modified to give the resonant frequencies of the cylindrical cavity. This analytical solution was then used to examine the error in the FEM formulation for the anisotropic case. It is noted that the FEM formulation for anisotropic material presented, based on both node and edge-based elements, is found to be free of spurious solutions.< >
ISSN:	0018-9480 1557-9670