Optimization of photonic band structures [Elektronische Ressource] / von Markus Richter

Optimization ofPhotonic Band StructuresZur Erlangung des akademischen Grades einesDOKTORS DER NATURWISSENSCHAFTENvon der Fakultat fur Mathematik des Karlsruher Instituts fur Technologie (KIT)genehmigteDISSERTATIONvonDipl.{Math. techn. Markus Richteraus Frankfurt am MainTag der mundlichen Prufung: 10. November 2010 Referent: Prof. Dr. Willy Dor erKoreferent: Prof. Dr. Christian WienersPrefaceThis dissertation is the result of a research project I conducted at the Institute forApplied Mathematics and Numerical Analysis of the Karlsruhe Institute of Tech-nology (KIT) in the years 2006 to 2010. During that time I worked as a researchassistant at the institute under the supervision of Prof. Dr. Willy Dor er. Theproject was embedded within the research program of the DFG Research TrainingGroup 1294 \Analysis, Simulation and Design of Nanotechnological Processes" atthe Department of Mathematics.At this point I would like to take the opportunity to thank a number of people,who supported me during my research. First and foremost I would like to thankmy advisors, Prof. Dr. Willy Dor er and Prof. Dr. Christian Wieners, for givingme the opportunity to work on an interesting and challenging problem, and forguiding me along my way towards this dissertation. I am particularly thankful forthe many times I was able to discuss my ideas with them, or to seek their advice.I would also like to mention Prof.