Title :
Analysis of Coupled Microring Resonators in Sheared Lattices
Author :
Tsay, Alan ; Van, Vien
Author_Institution :
Electr. Eng. Dept., Univ. of Alberta, Edmonton, AB, Canada
Abstract :
We present a field coupling method for analyzing coupled microring resonators (CMRs) in sheared 2-D lattices. Shearing has the effect of imparting phase shifts to certain coupling elements in the lattice, and is shown to be a simple way for realizing negative couplings in CMR networks. We mathematically show that the operation of shearing can be described by a similarity transformation on the field coupling matrix of the microring network. The analysis presented can be generalized to account for the position dependence of the coupling junctions of arbitrary 2-D CMR networks.
Keywords :
optical lattices; optical resonators; shearing; 2-D CMR networks; coupled microring resonators; coupling elements; field coupling matrix; microring network; negative couplings; phase shifts; sheared 2-D lattices; shearing; Arrays; Couplings; Filtering theory; Optical filters; Optical resonators; Resonator filters; Shearing; Coupled microring resonators (CMRs); field coupling analysis; microring filters; negative coupling;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2012.2211345
