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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.