Polarization-based cyclic weak value metrology for angular velocity measurement

TL;DR

This paper introduces polarization-based cyclic weak value metrology methods, including power, signal, and dual recycling schemes, to enhance angular velocity measurement accuracy by improving detection precision and reducing optical losses.

Contribution

The study develops three cyclic measurement schemes that significantly improve the accuracy and efficiency of polarization-based weak value angular velocity detection.

Findings

Enhanced detection accuracy with power and signal recycling.

Reduced optical loss and crosstalk compared to non-polarization schemes.

Theoretical elimination of walk-off effects, improving measurement performance.

Abstract

Weak measurement has been proven to amplify the detection of changes in meters while discarding most photons due to the low probability of post-selection. Previous power-recycling schemes enable the failed post-selection photons to be repeatedly selected, thus overcoming the inefficient post-selection and increasing the precision of detection. In this study, we focus on the polarization-based weak value angular-velocity measurement and introduce three cyclic methods to enhance the accuracy of detecting time shift in a Gaussian beam: power recycling, signal recycling, and dual recycling schemes. By incorporating one or two partially transmitting mirrors into the system, both the power and signal-to-noise ratio (SNR) of the detected light are substantially enhanced. Compared to non-polarization schemes, polarization-based approaches offer several advantages, including lower optical loss, unique cyclic directions, and a wider optimal region. These features effectively reduce crosstalk among different light paths and theoretically eliminate the walk-off effect, thus yielding improvements in both theoretical performance and application.