Abstract
A formalism is developed for treating the coupling of electromagnetic and magnetostatic modes in ferrite-loaded cavity resonators. Coupled-field equations are obtained by separating the magnetic field into rotational and irrotational parts. The fields are then expanded in terms of electromagnetic modes and magnetostatic modes, leading to coupled equations for the mode amplitudes. From these equations, one may evaluate the detuning and mode splitting resulting from the interaction of the ferrite with the cavity fields. In this treatment, there is no limitation as to the size of the ferrite sample, and the effects of wall proximity and the dielectric properties of the ferrite are specifically included.
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