Abstract

Using the maximum and the minimum of interference, a novel two-step phase demodulation algorithm is proposed to perform the phase extraction in phase-shifting interferometry. By means of the simulation calculation and the experimental research, it is proved that both the measured phase and the phase shift with high precision can be obtained in the proposed algorithm.

© 2012 Optical Society of America

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References

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2012 (1)

2011 (3)

2004 (1)

2003 (2)

1992 (1)

T. M. Kreis and W. P. O. Jueptner, Proc. SPIE 1553, 263 (1992).
[CrossRef]

1986 (1)

1982 (1)

Andreiko, I.

L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, and I. Andreiko, Opt. Lasers Eng. 49, 305 (2011).
[CrossRef]

Antonio Quiroga, J.

J. Antonio Quiroga and M. Servin, Opt. Commun. 224, 221 (2003).
[CrossRef]

Bajraszewski, T.

Belenguer, T.

Carazo, J.

Carazo, J. M.

Estrada, J.

Estrada, J. C.

Fercher, A. F.

Han, B.

Hitzenberger, C. K.

Jueptner, W. P. O.

T. M. Kreis and W. P. O. Jueptner, Proc. SPIE 1553, 263 (1992).
[CrossRef]

Kmet, A.

L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, and I. Andreiko, Opt. Lasers Eng. 49, 305 (2011).
[CrossRef]

Kreis, T.

Kreis, T. M.

T. M. Kreis and W. P. O. Jueptner, Proc. SPIE 1553, 263 (1992).
[CrossRef]

Leitgeb, R. A.

Malacara, D.

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (CRC, 2005).

Malacara, Z.

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (CRC, 2005).

Morgan, C.

Muravsky, L.

L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, and I. Andreiko, Opt. Lasers Eng. 49, 305 (2011).
[CrossRef]

Ostash, O.

L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, and I. Andreiko, Opt. Lasers Eng. 49, 305 (2011).
[CrossRef]

Quiroga, J. A.

Servin, M.

J. Antonio Quiroga and M. Servin, Opt. Commun. 224, 221 (2003).
[CrossRef]

Servín, M.

J. Vargas, J. A. Quiroga, T. Belenguer, M. Servín, and J. Estrada, Opt. Express 19, 638 (2011).
[CrossRef]

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (CRC, 2005).

Sorzano, C.

Sorzano, C. O. S.

Vargas, J.

Voronyak, T.

L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, and I. Andreiko, Opt. Lasers Eng. 49, 305 (2011).
[CrossRef]

Wang, Z.

J. Opt. Soc. Am. A (1)

Opt. Commun. (1)

J. Antonio Quiroga and M. Servin, Opt. Commun. 224, 221 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lasers Eng. (1)

L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, and I. Andreiko, Opt. Lasers Eng. 49, 305 (2011).
[CrossRef]

Opt. Lett. (5)

Proc. SPIE (1)

T. M. Kreis and W. P. O. Jueptner, Proc. SPIE 1553, 263 (1992).
[CrossRef]

Other (1)

D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (CRC, 2005).

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Figures (7)

Fig. 1.
Fig. 1.

Two frame simulated phase-shifting fringe patterns.

Fig. 2.
Fig. 2.

Reconstructed wrapped phase maps with different algorithms. (a) Theoretical calculation (REF), (b) EVI, (c) AIA, (d) GS, (e) OF, and (f) Kreis.

Fig. 3.
Fig. 3.

Two frame experimental phase-shifting interferograms.

Fig. 4.
Fig. 4.

Reconstructed wrapped phase maps with different algorithms. (a) AIA algorithm (REF), (b) EVI, (c) GS, (d) OF, and (e) Kreis

Fig. 5.
Fig. 5.

Variation curve of the rms error of phase extraction with the phase shift.

Fig. 6.
Fig. 6.

Two frame experimental phase-shifting interferograms in which the fringe number is less than one.

Fig. 7.
Fig. 7.

Reconstructed unwrapped phases of Fig. 6 with different algorithms. (a) AIA, (b) EVI, (c) GS, (d) OF, and (e) Kreis.

Tables (2)

Tables Icon

Table 1. RMS Errors and the Processing Time of Phase Extraction with Different Algorithms (Simulation)

Tables Icon

Table 2. RMS Errors and the Processing Time of Phase Calculation with Different Algorithms (Experiment)

Equations (6)

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In,k=ak+bkcos[φk+θn],(k=1,2,,K;n=1,2),
I˜n,k=bkcos[φk+θn].
φk=arctan(I˜1,kcos[θ]I˜2,kI˜1,ksin[θ]).
I˜2,k/I˜1,k=cos[φk+θ]/cos[φk].
θ=arccos(I˜2,EVI/I˜1,EVI).
θ=i=1Parccos(I˜2,piI˜1,pi)+j=1Varccos(I˜2,vjI˜1,vj)P+V.

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