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A semitheoretical, semiheuristic analysis is given of crossed-field electron interaction of the distributed-emission type. The emphasis of this paper is on the over-all picture of this complex type of interaction, rather than on mathematical exactness. The results are given in terms of five equations from which can be calculated the amount of dc applied power which is converted to real and reactive RF power under given conditions of frequency, RF potential, and magnetic-field strength. These equations are applied to the magnetron oscillator to predict power delivered to the anode by the electron bunches, frequency-pushing characteristics, V-I characteristics, and Rieke Diagrams. The agreement of the experimental data with the calculations over this wide range of characteristics confirms the validity of the analysis.
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J.F. Hull (1961) studied this question.
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