Design of High- $Q$ Compact Passive Ring Resonators via Incorporating a Loss-Compensated Structure for High Performance Angular Velocity Sensing in Monolithic Integrated-Optical-Gyroscopes

A compact InP/InGaAsP passive ring resonator (PRR), in which a loss-compensation section is vertically integrated, for angular velocity sensing is theoretically studied in this paper. The loss compensation is realized by current injection into the optical gain section, which is optically coupled with the PRR. Based on the proposed loss-compensation scheme, the propagation loss in the PRR can be reduced down to 0.01 dB/cm. Consequently, the quality factor of up to
$1.5 \times 10^{7}$
and resonance depth of more than 7 dB are theoretically obtained in such resonators with a radius of larger than 5 mm. Furthermore, when these compact PRRs are used as angular velocity sensors, the resolution of better than 10°/h and the angle random walk of less than
$0.075 {^{\circ }}/\sqrt {h} $
are theoretically predicted. These characteristics indicate that our proposed compact PRRs are capable of acting as an angular velocity sensor in high efficient monolithically integration of resonant optical gyroscope applications in proof of principle.