对皮尔斯电子枪综合法的改进

 在低压缩比、低导流系数情况下，对Vaughan迭代综合法因阴极半锥角初始值取得不合理而失效的原因进行了分析，并对其中的迭代公式进行了合理修正。采用Vaughan迭代综合法和修正后的迭代综合法验算了13支不同性能的电子枪，结果表明：采用修正迭代法，阴极半锥角初始值即使在0°~70°取值，都能得出正确的计算结果。在原来Vaughan法适应的情况下，修正法与原方法的阴极半锥角结果之间差值小于1°；在原来Vaughan法失效的情况下(如低导流系数、低压缩比小于7)，改进后的方法也能得到接近实测值的合理结果。

Improvement in the synthesis method of the Pierce electron gun

The iterative formulas in Vaughan’s iterative method are discussed and more logical ones are proposed. This improved iterative synthesis method will never be limited to the convergent Pierce electron guns with low convergence or the initial value of the convergence half angle. And 13 practical cases numerically show that, even if its initial value of convergence half angle arbitrarily varies in the range of 0°~70°, the proposed method would get reasonable results in the case of low, normal or high-convergence. The proposed method’s results of guns with normal and high-convergence agree well with that of Vaughan’s method, and the results of guns with extremely low convergence are well consistent with the corresponding actual values.