Electromagnetic Scattering From Periodic Array With Object Using a New Efficient Aggregate Basis Function Method

A new efficient aggregate basis function method is proposed for the electromagnetic scattering from composite structures consisting of finite periodic array and other object. The aggregate basis functions composed of Rao-Wilton-Glisson basis functions are defined, which leads to a good decrease in the number of unknowns, but with the enough accuracy. To obtain the aggregate basis functions, the approximate solution is implemented. By taking advantage of the nature of periodic array, the filling number of the impedance matrix blocks is substantially decreased, and the procedure of getting the approximate solutions is accelerated. The accuracy and efficiency of the proposed method are demonstrated in a typical scattering example.