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 non-zero injection velocities. Here, analytical results derived for the case of non-zero 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