Numerical analysis of one dimensional nonlinear theoryin relativistic klystron amplifier
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摘要: 给出了相对论速调管放大器中归一化调制电流和电子束动能的积分微分方程，基于MATLAB平台编程并采用递推法、中心差分法、梯形积分法等数值计算方法计算了归一化束电流和电子束动能随归一化距离的关系，以及反映电荷守恒的归一化因子。最后计算了调制电流的n次谐波的模式强度随归一化距离的变化。Abstract: The integrodifferential equation of instantaneous current and beam kinetic energy are presented. The relationship among the normalized beam current, the kinetic energy of the beam and the normalized distance are calculated using the Matlab-based numerical method including the progressive deduction method, the central difference method and the trapezoidal integration. The normalized factor based on conservation of charge is introduced as well. Finally, the mode strength versus the propagation distance is included.
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