Matrix analysis of microring coupled-resonator optical waveguides

Joyce K.S. Poon*, Jacob Scheuer, Shayan Mookherjea, George T. Paloczi, Yanyi Huang, Amnon Yariv

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We use the coupling matrix formalism to investigate continuous-wave and pulse propagation through microring coupled-resonator optical waveguides (CROWs). The dispersion relation agrees with that derived using the tight-binding model in the limit of weak inter-resonator coupling. We obtain an analytical expression for pulse propagation through a semi-infinite CROW in the case of weak coupling which fully accounts for the nonlinear dispersive characteristics. We also show that intensity of a pulse in a CROW is enhanced by a factor inversely proportional to the inter-resonator coupling. In finite CROWs, anomalous dispersions allows for a pulse to propagate with a negative group velocity such that the output pulse appears to emerge before the input as in "superluminal" propagation. The matrix formalism is a powerful approach for microring CROWs since it can be applied to structures and geometries for which analyses with the commonly used tight-binding approach are not applicable.

Original languageEnglish
Pages (from-to)90-103
Number of pages14
JournalOptics Express
Issue number1
StatePublished - Jan 2004
Externally publishedYes


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