Subspace-Based Inverse Source Approach for Metasurface Synthesis

A subspace-based inverse source method is proposed for metasurface synthesis in this paper. More specifically, for the scenario that we hope the scattered fields of the metasurface are distributed in an arbitrary specified fields coverage region (FCR), the matrix G which establishes the mapping relationship between the equivalent sources and the fields in FCR is applied the truncated singular value decomposition operation so that the current sources can be divided into radiative and non-radiative currents. With the constraints of realizability, the scattered fields can be concentrated in the FCR by decreasing the proportion of non-radiative currents. A synthesis case is presented to demonstrate the details and validate the proposed method.