単振動波管の微少信号電力定理

概要

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Using the transverse kinetic voltage of electron beam Uy and displacement current density Ky produced by the polarization due to the snaking of the beam motion, normal mode amplitudes a1 and a2 are denned so that |a1|2 and |a2|2 may express the time average power flow of each mode as follows, a1=1/2√2ｚ0(Uy+z0Ky), a2=1/2√2ｚ0(Uy+z0Ky), where z0 represents the chracteristic impedance coefficient of electron beam. Then the kinetic power of electron beam is given as follows, Re(1/2UyKy*)=|a1|2-|a2|2. The a1 and a2 modes carry the positive and negative kinetic power, respectively. D.L.Bobroff, H.A.Haus and J.W.Klüver derived the small signal power theorem using the polarization variables. The electron beam of the "Fawshmotron" comes also within the category of the crossed field tube devices. In this report, the small signal power theorem of the "Fawshmotron" is derived in a simplified method using the above polarization variables.
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