Method for Designing Anisotropic Metamaterials With Required Electromagnetic Properties Based on Constitutive Parameters

How to design required metamaterials with the special electromagnetic (EM) properties has always been a key problem that researchers want to solve. This article establishes a finite thickness metamaterial layer, proposes an anisotropic metamaterial EM wave propagation model, and derives a method for extracting its equivalent anisotropic constitutive parameters (CPs). By comparing the S-parameters of the metamaterial itself with the S-parameters obtained from the equivalent medium with isotropic CPs, as well as the S-parameters obtained from the anisotropic CPs, we verified that the proposed method for extracting anisotropic CPs is more accurate. The conversion path is opened up between metamaterial and medium layer with the same anisotropic CPs, and the CPs can guide the adjustment of actual periodic structural units to form metamaterials with target EM properties. To demonstrate it, this article designs and adjusts the metamaterial structure units based on the CPs, which constitute a lens with a thickness of one tenth of the wavelength that can deflect the beam by 45°. Therefore, a design system of metamaterials with required EM properties is established, which can guide the design of required metamaterials with corresponding special EM properties at specific frequencies.