A planar vacuum diode with electrons possessing velocity distribution function

TL;DR

This paper presents a theoretical analysis of a planar vacuum diode considering electrons with a velocity distribution, deriving the current-voltage characteristic and examining electron beam movement.

Contribution

It introduces a new theoretical model incorporating velocity distribution functions into the analysis of vacuum diodes, providing a more accurate depiction of their behavior.

Findings

Derived an integral-differential equation for electric potential

Obtained the current-voltage characteristic for a model velocity distribution

Analyzed electron beam movement within the diode volume

Abstract

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.