Summary form only given. Some radar applications requirehigh-power sources of millimeter-wave radiation with a rather largebandwidth. The power level required has already been achieved in Russiangyroklystrons, however, the bandwidth realized is rather small. As isknown, the bandwidth in klystrons can be significantly increased due tostagger tuning. In our paper we studied analytically the effect ofstagger tuning on the bandwidth enlargement and gain degradation inmulti-cavity gyroklystrons, GKLs. Our approach is based on considerationof short cavities as quasi-point gaps separated by long drift regions.In such a model one accounts for electron energy kicks in cavities andfor ballistic bunching in electron phases in drift regions. Thus, theequations for electron motion can be integrated analytically andnumerical integration should be done only for calculation oftransconductances and transadmittances in the third and subsequentcavities
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