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A circular cylindrical cavity is loaded with a dielectric sleeve which has a length shorter than that of the cavity. In general, the unloaded sections of the cavity can be such that the pure H11 mode is either propagating or cutoff at the resonance frequency of the loaded cavity, but the emphasis in the paper will be on the cutoff case. An electromagnetic model of this cavity structure is developed using the modal-matching method. The possibility of using the cutoff version of the sleeve-loaded cavity for stabilising the frequency of a microwave solid-state oscillator is investigated experimentally.