通过分析空间电子与极间电磁场之间的能量交换关系,以及磁绝缘传输线(MITL)横截面上的电磁场总能量变化,给出了量化无损磁绝缘形成过程始末时刻线电压和线电流关系的电磁模型。将模型应用于Z加速器的MITL-A发现:磁绝缘形成过程将导致线电流增加和线电压降低;如果初始时刻的线电流无限大,则终止时刻的线电压和线电流与初始时刻相同;当终止时刻的空间电子电流在线电流中的比例小于10%,则MITL-A终止时刻的线电压和线电流较初始时刻的变化在5%以内。这些现象与定性分析结果一致。

Through analyses on the exchange between the space-electron kinetic energy and interelectrode electromagnetic-field energy,and energy changes of the electromagnetic field on the magnetically insulated transmission line(MITL) cross-section,the quantitative relationship between the line voltage and current is pressented at the start and end during the formation process of the magnetical insulation without electron loss.After the application of this model to the MITL-A of Sandia Z-accelerator,it is found that:the formation process of magnetical insulation leads to the increase of line current and the decrease of line voltage; If the initial line current is infinite,the terminal line voltage and current are almost the same as the initial ones; If the ratio of the terminal space-electron current to the terminal line current is less than 10%,the change of terminal line voltage and current of the MITL-A relative to the initial is less than 5%.These results agree with that of the qualitative analysis.