Nonrelativistic, planar double-stream equilibrium in magnetically insulated diodes

The study of magnetically insulated electron flow is relevant to the operation of magnetically insulated transmission lines and ion diodes as well as to M-type microwave sources. Recently, double-stream equilibria in magnetically insulated diodes have been explored analytically for the case of vanishing injection electron velocities at the cathode and numerically for the case of nonzero injection velocities. Here, analytical results derived for the case of nonzero injection velocities indicate that space-charge limited emission from the cathode is no longer possible for equilibria in which the electrons are monoenergetic with vanishing canonical momentum.