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Pramana

Analytical solutions of coupled-mode equations for microring resonators

Chao Zhao

Published Apr 7, 2016• 3 citations
Publisher
DOI
10.1007/s12043-016-1200-3

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We propose a novel compact structure with EIT-like spectrum by introducing two partial reflectors (silica holes) symmetrically placed within the microring resonator (MRR). The two Fabry-Pérot (FP) resonating cavities created by the silica holes, coupled with microring’s resonance modes, show EIT-like lineshapes spaced by free spectral range of MRR. The FWHM of EIT-like spectrum can be controlled by tuning the radii of the silica holes. Analytical results from the developed mathematical model and 3D FDTD simulations were found to be in good agreement with each other.
The microring resonators have potential applications for the photonic integrated circuits. The dynamical phenomena of the two coupled microrings require a simple and efficient numerical formalism for solution of the system. We employ an analytical formula to calculate the optical tristability inside the two coupled microrings that takes into account Kerr nonlinearity and the effect of loss. We also compare the analytical results with the results from 3D finite-difference time-domain simulation. In addition, we show it is possible to obtain configurations which can tune the tristable region. This could be useful for designing optical logic applications.