Abstract
Based on Mason's signal flow graph analysis, an analytical model of the optical mode localization based on coupled ring resonators is established. The correctness of the theoretical model is proved by simulation. High sensitivity and common-mode rejection can be achieved by evaluating the modal power ratio from resonant peaks as sensing output. Based on the four-port structure, two output spectrum with mode localization (asymmetric mode splitting) and symmetric mode splitting allows the high-sensitivity sensing and dual-channel calibration to be carried out simultaneously, which can reduce the sensing errors. Monte-Carlo analysis showed that fabrication imperfection changes less than 6% of the performance in 90% cases, thus the construction of practical sensors is possible with appropriate tuning. The optical mode localized sensing has advantages in sensitivity, accuracy, anti-aliasing compared with conventional micro-mechanical mode localized sensor. Various types of high-sensitive sensor can be constructed through coupling parametric perturbation with measurands in different physical domains.
Highlights
The mode localized sensing is first accomplished by coupled micro-electro-mechanical systems (MEMS) resonators
The output linearity and average sensitivity from power ratio PT− /PT+ are wonderfully improved than evaluating modal power from just one resonant peak, though the measurement range may be affected by an additional local maximum of the output
The analytical model of the coupled ring resonators is examined by Lumerical simulation
Summary
The mode localized sensing is first accomplished by coupled micro-electro-mechanical systems (MEMS) resonators. Localized perturbation in resonators and couplers will cause the asymmetry in mode splitting In this case, the total energy in the spectrum will not be evenly confined in all resonant modes of the system, and it results in different modal amplitudes. The sensing element of the optical mode localization sensor can be chosen to be constructed from optical ring resonators coupled with each other by directional couplers. We use feedback theory [9] [10] ( referred to as Mason’s rule [11] [12]), which makes the analytical derivation easier, to analyze the coupled ring resonators for optical mode localized sensing. We model the optical mode localized sensor assuming an imperfect CROW with fabrication-imperfection-induced randomly disordered coupled resonators. We concern about conditions A. and C. to apply the optical mode-localized sensor in dispersive sensing
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