Bloch Analysis of Finite Periodic Microring Chains
arXiv:0906.3831 · doi:10.1007/s00340-004-1671-7
Abstract
We apply Bloch analysis to the study of finite periodic cascading of microring resonators. Diagonalization of the standard transfer matrix approach not only allows to find an exact analytic expression for transmission and reflection, but also to derive a closed form solution for the field in every point of the structure. To give more physical insight we analyze the main features of the transmission resonances in a finite chain and we give some hints for their experimental verification
19 pages, 4 figures