A Novel Method for Analyzing Inhomogeneous Metasurfaces

A new method for analyzing multispectral inhomogeneous metasurfaces is presented, which includes several types of particles. Our proposed method (PM) suggests a new semianalytical technique to solve the total effective polarizabilities of inhomogeneous arrays. Here, we propose the inhomogeneity in which metasurface can be regarded as constituting arrays of periodic supercells. Closed-form relations are suggested to calculate the interaction constants inside the supercells, and the local effective polarizabilities are obtained with the aid of these relations. Then, the conventional interaction constants are used to calculate the total effective polarizabilities of an array. To evaluate the generality and accuracy of our PM, the reflection and transmission coefficients of different arrays consisting of isotropic and bianisotropic particles are analyzed with this method, and the results are compared to those of an HFSS simulator. Our method is a step forward in analyzing and synthesizing inhomogeneous and multispectral metasurfaces.