Synthesis of multi-functional substrate integrated tensor metasurfaces

Abstract

Metasurfaces are emerging techniques to manipulate electromagnetic (EM) wave propagations. Metasurfaces are usually composed of subwavelength periodic unit cells in order to achieve effective surface electric and magnetic impedances. Conventionally, non-planar structures, e.g. metallic loops, are used to realize the required surface impedances, which are difficult to fabricate at high frequencies. In this work, we propose a metasurface synthesis method using only planar electric impedance surfaces, which are not only easy to fabricate even at very high frequencies, but also have great freedom to control EM wave propagations. Without loss of generality, the proposed method has taken into account the tensor form of the constituent planar electric surface impedance, the dielectric substrate effect as well as arbitrary incident angles. The proposed method is general so as to have a wide application scope, and is efficient so as to simplify the design procedure. It has been validated by numerical simulations, and has been applied to design two multi-functional metasurface devices as an demonstration.