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Published on: January 28, 2019
Fourier analysis of two-stage phase-shifting algorithms.
Marta Miranda1, Benito V Dorrío
1Applied Physics Department, University of Vigo, Campus Universitario, 36310 Vigo, Spain.
Summary
Differential and sum phase-shifting algorithms directly recover phase information. A frequency domain filtering method simplifies analysis and detects errors in phase-shifting algorithms (PSAs).
Area of Science:
- Optical Metrology and Interferometry
- Signal Processing
Background:
- Conventional phase-shifting algorithms (PSAs) require individual phase calculation and subsequent combination.
- Existing methods for analyzing phase-shifting data can be complex and may not easily reveal system errors.
Purpose of the Study:
- To introduce differential phase-shifting algorithms (DPSAs) and sum phase-shifting algorithms (SPSAs) for direct phase recovery.
- To present a frequency domain filtering technique for analyzing two-stage phase-shifting evaluations.
- To enable qualitative characterization and detection of errors like phase shifter miscalibration and signal harmonics.
Main Methods:
- Development and application of DPSAs and SPSAs through combinations of conventional PSAs.
- Implementation of a frequency domain filtering process for signal analysis.
- Utilizing Fourier analysis for a qualitative characterization of the phase-shifting evaluation.
Main Results:
- DPSAs and SPSAs directly yield phase difference and phase sum, respectively, simplifying calculations.
- The frequency domain filtering method provides an elegant approach to characterize the two-stage phase-shifting process.
- The analysis successfully identifies potential phase shifter miscalibration errors and unexpected signal harmonics.
Conclusions:
- DPSAs and SPSAs offer a more direct and efficient method for phase recovery in optical measurements.
- Frequency domain filtering is a powerful tool for evaluating the performance and identifying errors in phase-shifting systems.
- This approach enhances the reliability and accuracy of optical phase measurement techniques.
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