Compressed sensing for solving electromagnetic scattering problems of complex wire structures over a wide range of incident angle

An efficient scheme is proposed and implemented for studying electromagnetic scattering problems of complex wire structures over a wide range of incident angle. A set of linear vector basis functions is applied to discretize the complex structures. Moreover, a novel approach based on the compressed sensing (CS) technique is presented and used to form several new excitation sources, which include various spatial information to obtain several measurements. With the help of proper sparse representation, the real induced currents of any incident angles can be calculated by using the orthogonal matching pursuit technique (OMP). To demonstrate the efficiency and the accuracy of the proposed method, numerical simulations of a pair of Yagi-Uda antenna, a pair of spiral antenna, and a pair of spiral antenna array are accomplished by the new scheme, and the radiation pattern and Radar Cross Section (RCS) of the antennas are accurately calculated.