Electromagnetic-field model for formation process of magnetic insulation without space-electron loss

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 presented at the start and end during the formation process of the magnetic 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 magnetic 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 MLTL-A relative to the initial is less than 5%. These results agree with that of the qualitative analysis. (authors)