Extension of Coupled Mode Analysis to Infinite Photonic Superlattices

Coupled-mode theory (CMT) is extended to the case of infinite 2-D photonic arrays, made of periodically repeated identical groups of different waveguides (supercells). Born-Karman boundary conditions, applied to the CMT equations for this system, are used to compute the photonic band structure. This method was found to be more efficient and much less resource-consuming than the existing approaches, for the analysis of finite large-sized arrays.