Two-dimensional characteristic polynomials in the direct calculation of optical phase sum and difference

Miranda, Marta; Dorrio, Benito Vasquez; Blanco, J.; Diz-Bugarín, Javier; Ribas, F

doi:10.1088/1742-6596/274/1/012031

Cited by 1 publication

(2 citation statements)

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“…DPSAs inherit their properties from their precursor PSAs in an arithmetic way so the existing knowledge on the behavior of each precursor PSA can be used to design especially insensitive DPSAs [23][24][25]. In this context, the phase δ is the calibration phase so, the more insensitive the PSAs involved in the process are, the more accurate the calibration of the interferometer is.…”

Section: Calibration Of the Additional Phase With Two Psasmentioning

confidence: 99%

“…In this context, the phase δ is the calibration phase so, the more insensitive the PSAs involved in the process are, the more accurate the calibration of the interferometer is. In previous works [24,25], it was shown that a qualitative analysis can be made associating a complex number to the calculation of the phase difference with a DPSA in a way that the roots of the two dimensional characteristic polynomial (TDCP) P(e jkα ,e jgβ ) of the DPSA informs us of the presence of harmonics or phase shifting errors:…”

Section: Calibration Of the Additional Phase With Two Psasmentioning

confidence: 99%

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Design of new phase shifting algorithms according to the interferometer sensitivities

et al. 2013

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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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Section: Calibration Of the Additional Phase With Two Psasmentioning

confidence: 99%

Section: Calibration Of the Additional Phase With Two Psasmentioning

confidence: 99%