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18 November 2013 Design of new phase shifting algorithms according to the interferometer sensitivities
Marta Miranda, Javier Diz-Bugarín, Benito V. Dorrío, Jesús Blanco
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Proceedings Volume 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications; 87856A (2013) https://doi.org/10.1117/12.2026240
Event: 8th Ibero American Optics Meeting/11th Latin American Meeting on Optics, Lasers, and Applications, 2013, Porto, Portugal
Abstract
Correct metrological calibration is the key to avoiding the main systematic error sources in an interferometer configuration in order to obtain high resolutions and repeatability. The calibration procedure can consist of the acquisition of two fringe patterns with a known phase shift between them, which means the correct adjustment of this phase difference fits the system. Differential phase shifting algorithms, built by combining two known phase shifting algorithms in a non-linear way, obtain this phase difference directly. In this sense, the two-dimensional characteristic polynomial is an innovative tool for qualitatively characterizing the properties of the differential phase shifting algorithms and, particularly, for determining the accuracy of the system. In previous works, it was demonstrated that sensitivities are inherited from precursor phase shifting algorithms. This mechanism of error propagation allows us to design new differential phase shifting algorithms according to standard requirements in each system in order to cancel or at least minimize this known source of errors.
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Marta Miranda, Javier Diz-Bugarín, Benito V. Dorrío, and Jesús Blanco "Design of new phase shifting algorithms according to the interferometer sensitivities", Proc. SPIE 8785, 8th Iberoamerican Optics Meeting and 11th Latin American Meeting on Optics, Lasers, and Applications, 87856A (18 November 2013); https://doi.org/10.1117/12.2026240
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KEYWORDS
Phase shifting
Calibration
Interferometers
Phase shifts
Error analysis
Fringe analysis
Einsteinium
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