Affiliation:
1. Tongji University
2. Shanghai Institute of Measurement and Testing Technology
Abstract
The increasing line density of the reference grating and the accelerating miniaturization of ultra-precision displacement measurement technology necessitate more stable interferometric signal processing methods for high line density gratings, particularly in low signal-to-noise ratio scenarios. This paper presents a phase demodulation method for dynamic interferometric signals for high line density gratings. The Morlet wavelet transform is utilized to obtain the instantaneous frequency of the interferometric signal, integration of which yields the relative displacement, while adding adjacent relative displacements without gaps provides the absolute displacement during dynamic motion of the grating. In simulations with a signal-to-noise ratio ranging from 40 to 70 dB, the proposed method demonstrates greater robustness compared to the traditional method. By establishing a platform for repeated experiments and comparing it with traditional methods, it was found that the maximum deviation between calculation results obtained using this method and traditional methods is 0.8 nm, further confirming its potential application.
Funder
National Key Research and Development Program of China
National Key Research and Development Program for Young Scientists
National Natural Science Foundation of China
Fundamental Research Funds for the Central Universities
Shanghai Municipal Science and Technology Major Project
Program of Shanghai Academic Research Leader
Special Development Funds for Major Projects of Shanghai Zhangjiang National Independent Innovation Demonstration Zone