A theoretical model of vertically coupled triple microring resonators (VCTMRRs) in the Z domain is presented in this work. Delay line signal processing approach in Z-domain modeling is used for the performance analysis of waveguide-based VCTMRRs. Overall transmittance of the VCTMRR is determined in the Z domain, and frequency response is evaluated in a MATLAB environment. Performance in terms of free spectral range (FSR) and crosstalk of VCTMRR with two symmetric rings is compared with previously published results, and found to be in close agreement. VCTMRR architectures with different ring length combinations have been considered for the analysis. Performance of a VCTMRR with three asymmetric rings is also reported and compared with the performance of a VCTMRR with two symmetric rings in the present work. The design provides transmission characteristics where spurious transmission (crosstalk) at the interstitial frequencies that lie between the extended FSR is adequately suppressed. Group delay and dispersion characteristics are also presented.
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