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The formula for the electromagnetic field induced by electron beam in a waveguide witharbitrary cross-section has been derived by using the operator theory of electromagnetic field.In this formulathe normalized eigen function in ordinary dyadic Green’s function is replaced by the field induced by unitpower flow.By this formula,the relationship of energy conservation in the radiation process can be proyedeasily and it can be used in the interaction theory for different microwave electron tubes.
The formula for the electromagnetic field induced by electron beam in a waveguide witharbitrary cross-section has been derived by using the operator theory of electromagnetic field. In this formula the normalized eigen function in ordinary dyadic Green’s function is replaced by the field induced by unitpower flow. By this formula, the relationship of energy conservation in the radiation process can be proyedeasily and it can be used in the interaction theory for different microwave electron tubes.