Abstract
A power theorem is developed for parametric, longitudinal, electron-beam amplifiers which may be considered as a generalization of Chu's well-known kinetic power theorem. The new power theorem is used to explore the limitations on noise performance of parametric electron-beam amplifiers. It is shown that the electron-beam noise does not impose a basic limit on the noise performance of a parametric electron-beam amplifier in the way a basic limit is imposed upon the noise performance of conventional longitudinal electron-beam amplifiers. The new power theorem can be employed for understanding the operation of parametric beam amplifiers in the same way as Chu's kinetic power theorem has been used for interpreting the opoeration of longitudinal beam amplifiers.

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