Abstract
Eigenmodes of an isolated circular ring or disk microresonator are degenerate because of its rotational symmetry. Coupling of the microresonator to a straight bus guide breaks the rotational symmetry of the device. As a result, two slightly different resonant frequencies occur. While this effect is known in microring lasers, it is usually neglected in microring-based filters and add-drop de/multiplexers for telecom applications. Resonant frequency splitting does not follow from the usual ‘optical circuit’ analysis of the microring devices in which the coupling between the bus guide and ring is described by the 2 × 2 coupling matrix. It is shown here that the full 4 × 4 scattering matrix that takes into account also the back-reflections in the coupling region has to be used in order to include this effect into consideration. The magnitude of the resonant frequency splitting due to coupling to the bus guides in small high-contrast structures is estimated by two-dimensional numerical modelling based on bi-directional mode expansion and FDTD algorithms.
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Čtyroký, J., Richter, I. & Šiňor, M. Dual resonance in a waveguide-coupled ring microresonator. Opt Quant Electron 38, 781–797 (2006). https://doi.org/10.1007/s11082-006-9037-5
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DOI: https://doi.org/10.1007/s11082-006-9037-5