A planar vacuum diode with electrons possessing velocity distribution function

The current-voltage characteristic of a planar vacuum diode with electrons possessing velocity distribution function during an emission from the cathode (electron beam) is theoretically considered in this article. The electron beam movement in the volume is examined. An integral-differential equation for the electric field potential is got in a correct form. A current-voltage characteristic of the diode for a model function of the velocity distribution of the emitted electrons is obtained.