An analytical model for electric field distribution of positively beveled abrupt PN junctions

An analytical model for the electric field distribution of positively beveled abrupt p-n junctions is presented. Simple expressions for the depletion width at the surface and the maximum field as a function of beveled angle have also been obtained. The analytical results show very good agreement compared with those obtained from numerical simulations. By using the method of superposition of a "common-mode" abrupt junction and a "differential-mode" abrupt junction, the model is also valid for the case of a dielectric with large permittivity covering the beveled surface.