Publication: Phasorial analysis of detuning error in temporal phase shifting algorithms
Full text at PDC
Mosiño, Juan Francisco
Servín Guirado, Manuel
Estrada, Julio César
Advisors (or tutors)
The Optical Society Of America
Phase error analysis in Temporal Phase Shifting (TPS) algorithms due to frequency detuning has been to date only performed numerically. In this paper, we show an exact analytical expression to obtain this phase error due to detuning using the spectral TPS response. The new proposed method is based on the phasorial representation of the output of the TPS quadrature filter. Doing this, the detuning problem is reduced to a ratio of two symmetrical spectral responses of the quadrature filter at the detuned frequency. Finally, some popular cases of TPS algorithms are analyzed to show the usefulness of the proposed method.
© 2009 Optical Society of America. This work was partially supported by CONACyT under grants No. 42771 and No. 47111.
1. J. Schwider, “Advanced evaluation techniques in interferometry,” in Progress in Optics, E. Wolf ed., (North Holland, Amsterdam, Oxford, New York, Tokyo, 1990). 2. J. H. Bruning, D. R. Herriot, J. E. Gallagher, D. P. Rosenfel, A. D. White, and D. J. Brangaccio, “Digital wavefront measuring interferometry for testing optical surfaces and lenses,” Appl. Opt. 13, 2693-2703 (1974). 3. H. Schreiber and J. H. Brunning, “Phase shifting interferometry,” in Optical Shop Testing, D. Malacara ed., (John Wiley & Sons, Inc., Hoboken, New Jersey 2007). 4. M. Servín and M. Kujawinska, “Modern fringe pattern analysis in Interferometry,” in Handbook of Optical Engineering, D. Malacara and B. J. Thompson eds., (Marcel Dekker, 2001). 5. J. Schwider, R. Burrow, K. E. Elssner, J. Grzanna, R. Spolaczyk, and K. Merkel, “Digital wave-front measuring interferometry: some systematic error sources,” Appl. Opt. 22, 3421-3432 (1983). 6. J P. Hariharan, B. Oreb, and T. Eiju, “Digital phase shifting interferometry: a simple error compensating phase calculation algorithm,” Appl. Opt. 26, 2504-2505 (1987). 7. K. Freischland and C. L. Koliopoulos, “Fourier description of digital phase measuring interferometry,” J. Opt. Soc. Am. A 7, 542-551 (1990). 8. M. Servín, D. Malacara, J. L. Marroquín and F. J. Cuevas, “Complex linear filters for phase shifting with very low detuning sensitivity,” J. Mod. Opt. 44, 1269-1278 (1997).