Fast Subentire-Domain Basis Functions Method for Analysis of Composite Finite Periodic Structures With Dielectric-Conductor Cells

Abstract

The subentire-domain (SED) basis functions method based on the multiple plane waves (MPWs) has achieved the efficient analysis of the scattering problem of the large-scale finite periodic structures (LFPSs) with interconnected perfect electric conducting cells. However, for the composite LFPSs with dielectric-conductor cells, the enormous unknowns in dielectric volume become a huge burden to construct matrix equations and obtain the SED basis functions. In addition, it is hard to manually set the match points of the volume meshes on the boundaries between adjacent cells. In this letter, the fast SED basis functions method has been proposed to analyze the composite LFPSs with dielectric-conductor cells. In the fast SED basis functions method, the discontinuous Galerkin technique has been employed to guarantee the continuity of the current on the boundaries of the adjacent cells without the match points. Moreover, the fast dipole method has been introduced to accelerate the calculation of the coupling among the SED basis functions. In the scattering and the radiation problems, the MPWs and the ports excited in turn have been applied to construct SED basis functions. Numerical experiments prove the accuracy and the efficiency of the fast SED basis functions method.