Proposal for new method to design all-dielectric photonic meta- materials using an analytical approach

We propose a new analytical approach to the study of all-dielectric metamaterials allowing the prediction of the optical index maps and the required hole drilling distributions making light follow prescribed paths. The method will be applied to proof-of-concept structures based on the silicon-on-insulator technology. Light propagation will be studied using FDTD simulation to verify light trajectories, study the influence of extended light beams, and evaluate the robustness of the semi-classical approach based on equations of Hamiltonian optics. The presented results will show that the proposed method can be used for the straightforward design of new optical functionalities within the photonic metamaterial regime.