Efficient computation of equifrequency surfaces and density of states in photonic crystals using Dirichlet-to-Neumann maps

Victor Liu, Shanhui Fan
2011 Journal of the Optical Society of America. B, Optical physics  
We present an efficient method for computing the equifrequency surfaces (EFSs) and density of states of a photonic crystal. The method is based on repeatedly solving a small nonlinear eigenvalue problem formulated using the Dirichlet-to-Neumann map of the unit cell. A simple contouring algorithm is presented for sampling EFSs as well as computing group velocity vectors. We compare our method with several published results to demonstrate its efficiency and accuracy.
doi:10.1364/josab.28.001837 fatcat:5vfankvlijbuvbkvntuvkxfv2a