Application of the rigorous coupled-wave algorithm to impedance-matched metal-dielectric metamaterials with moth-eye surfaces

Abstract

This theses contains the theoretical basis for the rigorous coupled-wave algorithm (RCWA) and its application to the design of novel materials with desired electromagnetic properties. The RCWA is typically used to calculate diffraction efficiencies and electromagnetic field distribution during the scattering of light by periodic dielectric structures. First, the basic idea of the algorithm is introduced for a single grating layer with uni-directional periodicity [1]. The next chapter covers the stacking of multiple layers of gratings using the scattering matrix [2] and the big matrix method [3]. These ideas are then extended to gratings having periodicity in both orthogonal directions perpendicular to the plane of incidence [4,5]. The concepts introduced in these independent sources are consolidated using a consistent mathematical framework, and the results produced by the algorithm for several photonic structures are presented. Finally, application of the RCWA to design a new metamaterial with polarization-independent ultra-broadband absorption is discussed.