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本文建立起分析相对论返波管注波互作用过程的自洽非线性工作方程组 ,理论模型中计及了正向波基波与电子注的异步互作用效应、电子注的空间电荷效应 .运用四阶龙格一库塔法编制了数值求解工作方程组的For tran程序 ,对均匀耦合阻抗型器件和耦合阻抗单阶跃变型器件的效率进行了仿真和优化 .数值模拟结果表明正向波基波与同步波在慢波结构起始处的相差 ,正向波基波与电子注的异步互作用效应能显著地影响相对论返波管效率 ,均匀阻抗器件运行于最佳状态时 ,效率可达到 2 7% ,耦合阻抗单阶跃变型器件最优化效率可达到 5 0 % .
In this paper, we establish a self-consistent nonlinear equation for the analysis of the relativistic backwipe wave interaction process. The theoretical model takes into account the asynchronous interaction effect of the fundamental wave and the electron injection, and the space charge effect of the electron injection. The fourth-order Runge-Kutta method is used to simulate and optimize the efficiency of a coupled-impedance single-step-jump device by solving the For tran program numerically. The numerical results show that the forward- The difference between the wave and the synchronous wave at the beginning of the slow-wave structure, the asynchronous interaction effect between the forward-wave fundamental wave and the electron injection can significantly affect the efficiency of the relativistic back-wave tube. When the uniform impedance device operates in the best condition, the efficiency can reach 2 7%, the coupling impedance single-step transition device optimization efficiency can reach 50%.