@misc{876, author = {Steven Johnson and A. McCauley and Alejandro Rodriguez-Wong}, editor = {Luca Dal Negro}, title = {Computation and visualization of photonic quasicrystal spectra}, abstract = {In this chapter, we describe various approaches to computing the spectra of photonic quasicrystals (PQCs). We focus on a recently developed super-space method for computing the spectra and eigenstates of PQCs defined by the standard cut-and-project construction, that involves directly solving Maxwell s equations in higher dimensions, where a generalization of Bloch s theorem applies. We emphasize the conceptual and practical differences between super-space and supercell methods, which involve computing the eigenfrequencies and/or local density of states to an approximation of the true aperiodic structure.}, year = {2014}, chapter = {11}, pages = {451{\textendash}489}, publisher = {Pan Stanford Publishing}, address = {Singapore}, url = {http://www.panstanford.com/books/9789814463089.html}, doi = {doi:10.4032/9789814463096}, }