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Self-calibration phase-shifting algorithm with interferograms containing very few fringes based on Fourier domain
Optics Express
|December 10, 2017
Summary
A new Mid-Band Spatial Spectrum Matching (MSSM) algorithm accurately retrieves phase from optical interferometry images with very few fringes (ultra-sparse fringe patterns). This self-calibration method overcomes limitations of existing techniques for challenging phase retrieval tasks.
Area of Science:
- Optical interferometry
- Phase retrieval algorithms
- Fourier domain analysis
Background:
- Phase retrieval from interferograms with few fringes (ultra-sparse fringe patterns - USFP) is a significant challenge in optical metrology.
- Existing self-calibration algorithms often fail to accurately reconstruct phase information from USFP data.
Purpose of the Study:
- To propose a novel self-calibration phase-shifting algorithm for accurate phase retrieval from USFP.
- To introduce the Mid-Band Spatial Spectrum Matching (MSSM) algorithm for enhanced phase reconstruction.
Main Methods:
- Development of the Mid-Band Spatial Spectrum Matching (MSSM) algorithm based on Fourier domain estimation.
- Application of MSSM for phase retrieval from a small number of phase-shifting interferograms with USFP.
Main Results:
- Simulation and experimental validation confirm the accuracy and speed of the MSSM algorithm.
- MSSM successfully retrieves phase distribution from USFP, outperforming current self-calibration methods.
Conclusions:
- The proposed MSSM algorithm provides an effective solution for phase retrieval from USFP.
- MSSM offers a powerful new tool to expand the applications of phase-shifting interferometry.
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