皮尔斯电子枪非迭代综合法的修正

 对Tiwary非迭代综合法进行了整理分析，根据阴极半锥角大小的不同范围对其计算公式做出了相应修正，使得计算结果与Vaughan迭代综合法的计算结果相吻合，二者之间相差可以实现小于1°；对阳极半径公式也做了合理的修正，使阳极与阴极之间的间隙及电子枪射程的计算精度也与迭代综合法相当。采用非迭代法的修正方法计算精度受阴极半锥角大小的影响大大减小，扩大了其应用范围。

Improvement in non-iterative synthesis method of the Pierce gun

As far as the convergence half angles of Pierce electron guns vary in a wide range，some corresponding logical functions for Tiwary non-iterative method have been proposed. Using the improved approach, the results agree well with that of Vaughan iterative method and the difference of the convergence half angle between them can be below 1°. Furthermore, the function of the anode aperture radius of Tiwary method is also logically modified, and its anode-cathode spacing and gun shot are as good as that of Vaughan method. In particular, the accuracy of the new method is not influenced by the magnitude of the convergence half angle any longer. Thus, this proposed method extends the application range of the non-iterative method from small convergence half angle to large convergence half angle e