The Full Anisotropic Adaptive Fourier Modal Method and its Application to Periodic and Aperiodic Photonic Nanostructures

The thesis introduces the Fourier Modal Method as simulation tool for periodic photonic nanostructures, and extends the method towards the simulation of aperiodic structures using real and complex coordinate transformations. As exemplary cases, the method is applied for the characterization of a woodpile photonic crystal with the first complete photonic bandgap in the visible spectrum, and to the transmission properties of a long period fiber grating.