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使用电子在静磁场和时变横电场中的朱洛可夫斯基运动方程,推导出一束电子注当其通过一个横电场沿轴向具有一次或多次半波长正弦变化的TE模腔体时的互作用阻抗。用类似的方式推导了由漂移管分隔开的TE模腔体组成的回旋速调管的跨导表达式。这个表达式包含相对论修正,这种修正在电压高于50千伏时是很重要的,然而,所得结果与赫希菲尔德等人在低电压时得出的相一致。此外发展了一种分析TE_(o,n)模腔体和空心电子注的回旋速调管的小信号空间电荷理论。它表明,在只有空间电荷场和静磁场作用的漂移空间内电子注的调制按指数增长。用电子注负载跨导和空间电荷理论来表示回旋振荡管和回旋速调管在电子弹道理论(EBT)中的稳定性和增益。工作在80千伏管子,在28千兆赫产生250千瓦功率。
Using the Jacobian motion equations of electrons in static magnetic field and time-varying transverse electric field, a beam of electrons is deduced when it passes through a TE electric field with one or more half-wavelength sine changes in the axial direction through a transverse electric field When the interaction impedance. In a similar way, the transconductance expression of the gyroklystron consisting of the TE cavity separated by the drift tube is deduced. This expression includes relativistic corrections, which are important at voltages above 50 kV, however, the results are consistent with those obtained by Hirschfeld et al. At low voltages. In addition, a small-signal space charge theory for the analysis of TE_ (o, n) cavities and gyro klystron tubes with hollow electrons is developed. It shows that the modulation of the electron injection grows exponentially in a drift space where only the space charge field and the static magnetic field act. The stability and gain of the gyrotron and gyrotron in electronic ballistic theory (EBT) are represented by the electronic charge-loading transconductance and space charge theory. Works on 80 kV tubes and generates 250 kW at 28 GHz.