Coupled-mode theory for on-channel nonlinear microcavities

@article{Grigoriev2011CoupledmodeTF,
  title={Coupled-mode theory for on-channel nonlinear microcavities},
  author={Victor Grigoriev and Fabio Biancalana},
  journal={Journal of The Optical Society of America B-optical Physics},
  year={2011},
  volume={28},
  pages={2165-2173}
}
We consider a nonlinear microcavity separating a waveguide channel into two parts so that the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in the phenomenological coupled-mode theory for such systems. This allows us to find the explicit formulas for all fitting parameters such as decay rates, coupling coefficients, and characteristic intensities in terms of the mode profiles. The advantages of… 

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