In this paper, we have developed a theory of a parallel off-axis microring resonator(MRR) with single and multiple off-axis rings. The parallel off-axis resonator has many striking features in the transmission spectrum which facilitates its use as efficient modulators and sensors.The parrallel rings with off-axis have been used to design a compact band rejection filter with improved bandwidth. Moreover, these closely packed rings achieved by parallel connection MRRs with off-axis inner rings are tunable to reject arbitrarily chosen WDM channels. Through numerical simulations based on transfer matrix method and finite element method, it has been examined that off-axis MRRs cater superior performances in comparison to the other microring resonator structures with respect to the device size, faster response, and low dispersion. The proposed off-axis MRRs may be used for cluster to cluster interconnects and can have other potential on-chip photonic applications in network layer. |