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The present paper concerns mathematical simulation and experimental study of possibilities of simple design SHF oscillators based on a monothrone and double-gap cavities. Possibility of creation of 30???40% efficiency generators of one-cavity design and 50???60% efficiency generators based on double-cavity generating-amplifying klystrons (GAK) is shown.
The ratios presenting one-dimensional electron motion in the grouping electron current in drift tubes of a generating-amplifying klystron, allowing for operation of forces of a space charge are received.
For acceleration of calculating iterative process to establish the frequency in self-excited oscillator on double-gap cavity the under-relaxation quotient on the voltage is introduced. Optimal values of this quotient for minimum number of interations are determined.