Abstract
An approximation technique is developed for the electromagnetic resonances and electric fields inside a cavity of arbitrary shape whose walls are perfectly conducting and which is filled with a lossless ferrite. Operator notation is introduced and it is proved that the operator for this problem is self-adjoint. A variational expression is introduced and this functional is minimized by employing the Rayleigh-Ritz technique. The solution is in the form of a matrix eigenvalue equation. The general formulas are specialized to the case of a ferrite-filled spherical cavity resonator and some of the lower-order mode resonances are calculated. The technique is briefly contrasted with other approximation techniques which are found in the literature.
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