Reconstruction of sparse radiation sources above a finite ground plane

Abstract

The reconstruction of sparse radiation sources above a finite ground plane is important for the equivalent modeling of radiators such as slot antennas, printed circuit boards and slotted shields. Existing methods usually assume the infinitely large ground plane which is not realistically realizable and the results are not practically accurate since they ignore the edge diffraction effect of a realistic ground plane. In this paper, a finite ground plane is considered and its edge diffraction effect is modeled by the uniform theory of diffraction (UTD). A matrix equation relating sources with near fields is derived with the UTD and the half space Green's function approach. By solving the matrix equation, the radiation sources can be reconstructed from the near fields. In order to improve the efficiency and accuracy, the sparse source reconstruction is developed to solve the matrix equation. Different from existing methods, the proposed method considers the edge diffraction effect and applies the sparseness of the sources when solving the inverse problem. Therefore, it is more efficient and accurate than existing methods. Numerical results are presented to validate the effectiveness of the proposed method.