Paper
18 June 2024 Dynamic mode decomposition-based algorithm for phase-shifting interferometry in the presence of miscalibration and vibration
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Abstract
The dynamic system analysis capability of dynamic mode decomposition (DMD) technique is utilized for the phase retrieval in phase shifting interferometry. The DMD decomposes the spatio-temporal interferometric data into three distinct spatial fields (modes) which represent the background intensity and complex amplitudes associated with the interferogram. The phase estimate can be obtained from one of these modes which oscillates with a temporal frequency equal to the phase shift. Two DMD-based algorithms are reported which operate with minimum four interferograms, and accumulated phase shift of π. The comparative study among the DMD-based and the least-squares, PCA, 4-bucket, 5-bucket and 7-bucket algorithms performed in function of signal-to-noise ratio, phase-shift miscalibration, and amplitude and frequency of vibration demonstrates the suitability of proposed algorithm in practical scenarios.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
Rishikesh Kulkarni and Raghunandan Kalibhat "Dynamic mode decomposition-based algorithm for phase-shifting interferometry in the presence of miscalibration and vibration", Proc. SPIE 12997, Optics and Photonics for Advanced Dimensional Metrology III, 129970Z (18 June 2024); https://doi.org/10.1117/12.3014687
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KEYWORDS
Vibration

Interferograms

Phase shifts

Principal component analysis

Matrices

Modal decomposition

Signal to noise ratio

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