Signal-recycling For Precision Optical Measurement

Weak measurement has demonstrated its superiority in the field of optical precision measurement.Weak values,which can be obtained from weak measurements are usually much lager than the eigenvalues,thus make the measurements of small physical quantities possible.However,the cost is that the post-selection process will cause the loss of data,and the intensity of the emitted light will become very small,thus reducing the measurement accuracy of experiment.So improving the signal to noise ratio of the classical weak measurement system is the problem we have to solve.The reason for the decrease of the signal-to-noise ratio of the classical weak measurement system is the existence of the post-selection process.The weak measurement will cause the loss of most data while obtaining the large-amplitude amplification effect,resulting in a large reduction in the number of detected photons.In view of this situation,this paper takes the micro-speed measurement system as the research object,and applies the signal-recycling technology in LIGO to this weak measurement system,while retaining the significant amplification effect,the weak optical signal in the classical weak measurement system can also be enhanced,thereby improving the signal-to-noise ratio of the measurement system.And this study provides new ideas and experimental basis for precision optical measurement.