Solving array structures using single-source equivalence principle algorithm

In this paper, a new single-source equivalence principle algorithm (EPA) is proposed to solve array structures. In the traditional equivalence principle algorithm, the unknown currents of the scatterers are replaced by equivalent electric and magnetic currents on the virtual equivalence surface. In single-source EPA, a single electric/magnetic current on the equivalence surface is used to generate the scattered field. Similar to generalized impedance boundary condition (GIBC), a relation between the equivalence electric current and magnetic current can be established by using the extinction theorem. Therefore, only the electric/magnetic current is the unknown in the final EPA formulation. Numerical results for the array structures are obtained to demonstrate the accuracy and efficiency of the proposed method.