Modeling of nano-photonic systems using the adaptive Fourier Modal Method and analytical dipole models

In this thesis, the Fourier Modal Method is significantly enhanced by applying coordinate transformations. These transformations are constructed and analyzed. Furthermore, guidelines for optimal parameters are formulated. The approach is then extended to three dimensions. Finally, an analytical model to describe twisted cross metamaterials is developed

Polarization Change in Face–Centered Cubic Opal Films

Artificial opals are a popular platform for investigating fundamental properties of Photonic Crystals (PhC). In this work, we provide a theoretical analysis of polarization‐resolved transmission experiments through thin opal films. Despite the full cubic symmetry of the PhC, this system provides a very efficient mechanism for manipulating the polarization state of light. Based on band structure calculations and Bloch mode analysis, we find that this effect closely resembles classical birefringence. Due to the cubic symmetry, however, a description using tensorial quantities is not possible. This indicates fundamental limitations of effective material models for Photonic Crystals and demonstrates the importance of accurately modelling the microscopic geometry of such systems