The field emission system with the thin emitter mathematical modeling

This paper is devoted to the mathematical modeling of the field emission diode system. The diode system is consists of the infinitely thin field emitter as a cathode and a plane anode. The emitter substrate is a plane. The interior of system domain is filled with two different dielectrics. The electrostatic potential distribution is found by the method of separation of variables for the Laplace's equation in cylindrical coordinates as the Fourier-Bessel series.