%0 Journal Article %1 Poon:04 %A Poon, Joyce %A Scheuer, Jacob %A Mookherjea, Shayan %A Paloczi, George %A Huang, Yanyi %A Yariv, Amnon %D 2004 %I OSA %J Opt. Express %K coupled matrix %N 1 %P 90--103 %R 10.1364/OPEX.12.000090 %T Matrix analysis of microring coupled-resonator optical waveguides %U http://www.opticsexpress.org/abstract.cfm?URI=oe-12-1-90 %V 12 %X 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.

@article{Poon:04, abstract = {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.}, added-at = {2011-04-13T16:32:36.000+0200}, author = {Poon, Joyce and Scheuer, Jacob and Mookherjea, Shayan and Paloczi, George and Huang, Yanyi and Yariv, Amnon}, biburl = {https://www.bibsonomy.org/bibtex/22a53993849d7cf76e0b3938f70c4412b/rgomezal}, description = {Optics InfoBase: Optics Express - Matrix analysis of microring coupled-resonator optical waveguides}, doi = {10.1364/OPEX.12.000090}, interhash = {3dd38e2d65c85a8b8345d47bfb9dbfbf}, intrahash = {2a53993849d7cf76e0b3938f70c4412b}, journal = {Opt. Express}, keywords = {coupled matrix}, month = jan, number = 1, pages = {90--103}, publisher = {OSA}, timestamp = {2011-04-13T16:32:36.000+0200}, title = {Matrix analysis of microring coupled-resonator optical waveguides}, url = {http://www.opticsexpress.org/abstract.cfm?URI=oe-12-1-90}, volume = 12, year = 2004 }