Efficient calculation of the optical properties of stacked metamaterials with a Fourier modal method

Abstract

In its original formulation the Fourier modal method provides a very fast convergence for one- and two-dimensional dielectric structures, but owing to the Gibbs phenomenon the convergence is poor for a high contrast of the permittivity function, especially for metal–dielectric structures. The scheme has been improved by methods such as factorization rules and adaptive spatial resolution. We are going to discuss the combination of these methods in a covariant formulation, including a new method to calculate the homogeneous sub- and superstrates in the adaptive coordinate system. We use it to obtain the optical properties of split-ring resonators. Additionally, we will show how the spectra of stacked structures can be derived very efficiently.