Accurate quasi static capacitance for abrupt homojunction under forward and reverse polarization

In this work, we present a new approach to derive the capacitance–voltage characteristic for an abrupt homojunction with uniform doping (N A in p-region and N D in n-region) under forward and reverse polarization. Under thermal equilibrium conditions, we show that it is possible to obtain analytically the exact capacitance–voltage characteristic without any simulation for the symmetric case (N A = N D ). We also propose a model of the total capacitance under forward and reverse polarization for the asymmetric case ( $N_{\bf A} \ne N_{\bf D}$ ).