Development of a Chip-Scale Optical Gyroscope with Weak Measurement Amplification Readout

The design of an integrated optical chip is proposed containing a rotation sensing ring resonator (optical gyroscope) coupled to an inverse weak value amplified Sagnac interferometer that amplifies the signal containing the phase information. We show that, for conservative parameter choices, our setup has a minimum detectable angular rotation rate of 0.1 deg/hr and an Allan deviation of 0.08 deg/hr under expected ideal conditions. We also show that for an appropriate amount of input power, our design can improve the signal-to-noise ratio, the precision of angular rotation rate, and error in detection by more than ten times compared to a Sagnac interferometer coupled to a ring resonator.