对轴对称收敛型电子枪设计方法进行了整理分析,就阴极半锥角的初始值对迭代综合法的收敛性能所产生的影响进行了讨论,针对低压缩比条件下原来的Vaughan公式失效的问题进行了分析,给出了更为合理的初始值计算公式.采用修正后的公式和迭代综合法对电子枪进行设计,在高压缩比情况下的设计结果与采用原来Vaughan方法的结果完全一致;而对于低压缩比的情况,也得到了合理的设计,从而解决了原来的Vaughan方法在低压缩比情况下失效的问题,扩大了迭代综合法的应用范围.

The initial value of the convergence half angle in the iterative synthesis is discussed and a more logical function is given for assigning it. With the application of the new function, the results of normal and high-convergence Pierce guns are completely the same with the results which are obtained with the application of Vaughan's, and reasonable results are got of the low-convergence ones which can not be settled by Vaughan's method. Therefore, the new function extends the application range of the iterative synthesis from the high-convergence to the low-convergence Pierce guns.