均匀电荷密度下的磁绝缘理论研究

在平行板磁绝缘传输线中均匀电荷密度下，分别对压力平衡下的修正层流模型和非压力平衡和非层流模型进行了求解，比较了两种理论模型下的结果。分析表明：相对于非层流模型而言，层流模型因未考虑径向速度，其电荷密度偏低，阳极电场、阳极磁场及阳极电流都偏大。此外，粒子模拟结果显示非层流模型具有更高的精度。最后，对压力平衡条件、均匀电荷密度下的层流以及非层流模型，从平行板理论推广到一般构型。

Study of magnetic insulation with uniform charge density

With the uniform charge density in the magnetically insulated transmission line (MITL) of parallel plate, a laminar flow model with pressure balance and a new model without the assumption of laminar flow and pressure balance are solved analytically, respectively. The results of laminar flow model and non-laminar flow model are compared. It is shown that the charge density is smaller and electric field, magnetic field on anode is bigger in laminar flow model as without radial velocity of electrons. Then, the result of particle-in-cell simulation is compared for the two theories and shows that the accuracy of non-laminar model is higher than laminar model. Finally, the pressure balance equation and two models of laminar and non-laminar with the uniform charge density have been promoted to coaxial MITL and cone MITL.