Blade-like field cathode with a dielectric coating mathematical modeling

In this paper the results of a two-dimensional diode emission system based on blade-like field cathode in polar coordinate modeling is presented. The top emitter circle with dielectric coating. anode coaxial to emitter. boundary condition first kind set cathode, and second anode. problem calculating electrostatic potential distribution reduced solving linear algebraic equations constant coefficients. All geometric dimensions values potentials electrodes are parameters problem.