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.

超表面是操纵电磁 (EM) 波传播的新兴技术。超表面通常由亚波长周期性晶胞组成，以实现有效的表面电阻抗和磁阻。通常，非平面结构，例如金属环，用于实现所需的表面阻抗，这在高频下难以制造。在这项工作中，我们提出了一种仅使用平面电阻抗表面的超表面合成方法，该方法不仅即使在非常高的频率下也易于制造，而且在控制 EM 波传播方面具有很大的自由度。在不失一般性的情况下，所提出的方法考虑了组成平面电阻抗的张量形式、介电基板效应以及任意入射角。该方法通用性强，适用范围广，效率高，简化了设计过程。它已通过数值模拟验证，并已应用于设计两个多功能超表面设备作为演示。