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Fast and accurate tilt-shift-immune phase-shifting algorithm based on self-adaptive selection of interferogram
Applied Optics
|April 1, 2020
Summary
A new phase-shifting algorithm (SSPCA) eliminates tilt-shift errors in phase-shifting interferometry (PSI). This method offers high accuracy and speed, even without precision phase shifters, making it a cost-effective solution.
Area of Science:
- Optics and Photonics
- Metrology and Measurement
Background:
- Phase-shifting interferometry (PSI) is sensitive to tilt-shift errors, affecting measurement accuracy.
- Existing algorithms often require precision phase shifters or are computationally intensive.
Purpose of the Study:
- To develop a fast, accurate, and tilt-shift-immune phase-shifting algorithm for PSI.
- To reduce the cost and complexity of PSI systems.
Main Methods:
- Proposed a self-adaptive selection of interferogram subblocks and principal component analysis (SSPCA) algorithm.
- Utilized principal component analysis and least-squares method (LSM) for phase-shift calculation.
- Distinguished valid and invalid subblocks using correlation coefficients for robust phase retrieval.
Main Results:
- SSPCA achieved high accuracy (0.03 rad) for both small and large tilt amplitudes.
- Processing time was reduced to one-tenth or less compared to iterative algorithms.
- Demonstrated applicability without a precision phase shifter, enabling low-cost PSI.
Conclusions:
- The SSPCA algorithm effectively eliminates tilt-shift errors in PSI.
- SSPCA provides a high-precision, high-speed, and low-cost solution for interferometric measurements.
