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Coupled mode theory revisited: the role of the network topology and ordered directionality

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Abstract

We propose a theoretical correction to the coupled mode theory (CMT) to describe three or more coupled optical resonators considering the topological placement of each resonator and the light flow direction. This work allows an expansion of the CMT approximation for strong coupling and is validated by employing the transfer matrix method. A model of the three coupled resonators was studied in detail to provide evidence of the significant improvement in predicting the transmission spectrum of dark modes.

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Supplementary Material (1)

NameDescription
Supplement 1       Supplemental document: from TMM to CMT with matrix reduction and graph theory.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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