The Sharp-Edged Field Cathode Mathematical Modeling

In this work the axially symmetrical diode system based on a sharp-edged field cathode on a plane substrate is under investigation. Anode is a plane. All interior area of the system is filled with two dielectrics. To solve the boundary-value problem the variable separation method is used and an effect of the field cathode is simulated using the charged circular lines. The electrostatic potential distribution is represented as Fourier-Bessel expansion. The unknown coefficients in the expansion are a solution of the linear algebraic equations with constant coefficients.