The arbitrarily shaped field emitter mathematical modeling

Abstract

This article is devoted to the field emitter of the arbitrary shape mathematical modeling. The axially symmetrical diode system with a field cathode on a plane substrate and a plane anode is under investigation. The effect of the field emitter is simulated using the charged circular lines to solve the boundaryvalue problem so that the zero electrostatic equipotential coincided with the cathode surface. The potentialal distribution as the Fourier-Bessel series is found an analytical form in the cylindrical coordinates.