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An excitation model for TM-mode cylindrical cavities driven by a modulated electron beam with application in transit-time microwave tubes is developed. It is shown that the slowly time varying amplitude of the self-sustained oscillations is described by a reduced form of the classical van der Pol equation. Encompassing the relevant parameters of the dynamics of the rf field-electron beam interaction...
An excitation model for TM-mode cylindrical cavities driven by a modulated electron beam with application in transit-time microwave tubes is developed. It is shown that the slowly time-varying amplitude of the self-sustained oscillations is described by a reduced form of the classical van der Pol equation. Encompassing the relevant parameters (nonlinear conductance of the electronic beam, ratio of...
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