Abstract: High-resolution displacement measurement is crucial in lithography,precision machining,biomedical detection,and other fields.In this paper,we propose a novel displacement measurement scheme based on Michelson lasers.Different from the traditional laser interferometers using electronic subdivision interference fringe method,Michelson lasers trace displacement measurement to laser frequency measurement with high resolution.Furthermore,we present and demonstrate a Faraday-Michelson laser utilizing the narrowband Faraday anomalous dispersion atomic filter as the frequency selection device,enabling simultaneous oscillation output of two laser modes,and preliminarily test the displacement measurement resolution of the system.As frequency measurement has a resolution well over 12 digits,our scheme can theoretically reach a displacement measurement resolution in pm or even finer,paving the way for future advancements in high-resolution displacement measurement.

Key words: High resolution, Geometric measurement, Beat frequency, Laser, Laser interferometer