Abstract

An algorithm is presented for calculating the phase difference that is obtained with rapid-switching, double-pulsed holographic interferometry. Imperfect switching between reference beams in between two laser pulses causes a distortion in the phase-stepped interferograms that results in erroneous phase calculation when conventional phase-calculating algorithms are used. Instead of estimating the error that is involved, an extra step is added to a more conventional algorithm such as Carré’s algorithm, so that this leakage effect is compensated for. Thus the desired phase difference is found. Also, a measure is found for excluding unreliable calculations, based on the light intensities and phase steps for each pixel and the leakage ratios.

© 1998 Optical Society of America

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1995 (1)

B. H. Timmerman, D. W. Watt, “Tomographic high-speed digital holographic interferometry,” Meas. Sci. Technol. 6, 1270–1277 (1995).
[CrossRef]

1994 (1)

1993 (1)

H.-H. Bartels-Lehnhoff, P. H. Baumann, B. Bretthauer, G. E. A. Meier, “Computer aided evaluation of interferograms,” Exp. Fluids 16, 46–53 (1993).
[CrossRef]

1992 (1)

1990 (1)

T. A. W. M. Lanen, C. Nebbeling, J. L. van Ingen, “Phase-stepping holographic interferometry in studying transparent density fields around 2-D objects of arbitrary shape,” Opt. Commun. 76, 268–276 (1990).
[CrossRef]

1988 (1)

1987 (2)

1985 (1)

1983 (1)

1974 (1)

1966 (1)

P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966).
[CrossRef]

Bartels-Lehnhoff, H.-H.

H.-H. Bartels-Lehnhoff, P. H. Baumann, B. Bretthauer, G. E. A. Meier, “Computer aided evaluation of interferograms,” Exp. Fluids 16, 46–53 (1993).
[CrossRef]

Baumann, P. H.

H.-H. Bartels-Lehnhoff, P. H. Baumann, B. Bretthauer, G. E. A. Meier, “Computer aided evaluation of interferograms,” Exp. Fluids 16, 46–53 (1993).
[CrossRef]

Brangaccio, D. J.

Bretthauer, B.

H.-H. Bartels-Lehnhoff, P. H. Baumann, B. Bretthauer, G. E. A. Meier, “Computer aided evaluation of interferograms,” Exp. Fluids 16, 46–53 (1993).
[CrossRef]

Bruning, J. H.

Burow, R.

Carré, P.

P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966).
[CrossRef]

Cheng, Y. Y.

Creath, K.

K. Creath, “Phase-measurement interferometry techniques,” SPIE Short Course Notes SC37 (Society of Photo-Optical Instrumentation Engineers, Bellingham, Washington, 1993).

K. Creath, “Temporal phase measurement methods,” in Interferogram Analysis; Digital Fringe Pattern Measurement Techniques, D. W. Robinson, G. T. Reid, eds. (Institute of Physics, Bristol, 1993), Chap. 4, pp. 94–140.

Eiju, T.

Elssner, K.-E.

Gallagher, J. E.

Grzanna, J.

Hariharan, P.

Herriott, D. R.

Joenathan, C.

Kinnstaetter, K.

Lanen, T. A. W. M.

T. A. W. M. Lanen, C. Nebbeling, J. L. van Ingen, “Phase-stepping holographic interferometry in studying transparent density fields around 2-D objects of arbitrary shape,” Opt. Commun. 76, 268–276 (1990).
[CrossRef]

T. A. W. M. Lanen, “Digital holographic interferometry in compressible flow research,” Ph.D. dissertation (Delft University of Technology, Delft, The Netherlands, 1992).

Larkin, K. G.

K. G. Larkin, B. F. Oreb, “Design and assessment of symmetrical phase-shifting algorithms,” J. Opt. Soc. Am. A 9, 1740–1748 (1992).
[CrossRef]

K. G. Larkin, B. F. Oreb, “Propagation of errors in different phase-shifting algorithms: a special property of the arctangent function,” in Proc. SPIE Interferometry: Techniques and Analysis, G. M. Brown, O. Y. Kwon, M. Kujawinska, eds., 1755, 219–227 (1993).

Lohman, A. W.

Meier, G. E. A.

H.-H. Bartels-Lehnhoff, P. H. Baumann, B. Bretthauer, G. E. A. Meier, “Computer aided evaluation of interferograms,” Exp. Fluids 16, 46–53 (1993).
[CrossRef]

Merkel, K.

Nebbeling, C.

T. A. W. M. Lanen, C. Nebbeling, J. L. van Ingen, “Phase-stepping holographic interferometry in studying transparent density fields around 2-D objects of arbitrary shape,” Opt. Commun. 76, 268–276 (1990).
[CrossRef]

Oreb, B. F.

K. G. Larkin, B. F. Oreb, “Design and assessment of symmetrical phase-shifting algorithms,” J. Opt. Soc. Am. A 9, 1740–1748 (1992).
[CrossRef]

P. Hariharan, B. F. Oreb, T. Eiju, “Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506 (1987).
[CrossRef] [PubMed]

K. G. Larkin, B. F. Oreb, “Propagation of errors in different phase-shifting algorithms: a special property of the arctangent function,” in Proc. SPIE Interferometry: Techniques and Analysis, G. M. Brown, O. Y. Kwon, M. Kujawinska, eds., 1755, 219–227 (1993).

Rosenfeld, D. P.

Schwider, J.

Spolaczyk, R.

Streibl, N.

Timmerman, B. H.

B. H. Timmerman, D. W. Watt, “Tomographic high-speed digital holographic interferometry,” Meas. Sci. Technol. 6, 1270–1277 (1995).
[CrossRef]

van Ingen, J. L.

T. A. W. M. Lanen, C. Nebbeling, J. L. van Ingen, “Phase-stepping holographic interferometry in studying transparent density fields around 2-D objects of arbitrary shape,” Opt. Commun. 76, 268–276 (1990).
[CrossRef]

Watt, D. W.

B. H. Timmerman, D. W. Watt, “Tomographic high-speed digital holographic interferometry,” Meas. Sci. Technol. 6, 1270–1277 (1995).
[CrossRef]

White, A. D.

Wyant, J. C.

Appl. Opt. (7)

Exp. Fluids (1)

H.-H. Bartels-Lehnhoff, P. H. Baumann, B. Bretthauer, G. E. A. Meier, “Computer aided evaluation of interferograms,” Exp. Fluids 16, 46–53 (1993).
[CrossRef]

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

Meas. Sci. Technol. (1)

B. H. Timmerman, D. W. Watt, “Tomographic high-speed digital holographic interferometry,” Meas. Sci. Technol. 6, 1270–1277 (1995).
[CrossRef]

Metrologia (1)

P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966).
[CrossRef]

Opt. Commun. (1)

T. A. W. M. Lanen, C. Nebbeling, J. L. van Ingen, “Phase-stepping holographic interferometry in studying transparent density fields around 2-D objects of arbitrary shape,” Opt. Commun. 76, 268–276 (1990).
[CrossRef]

Other (5)

P. Hariharan, Optical Interferometry (Academic, Sydney, Australia, 1985).

T. A. W. M. Lanen, “Digital holographic interferometry in compressible flow research,” Ph.D. dissertation (Delft University of Technology, Delft, The Netherlands, 1992).

K. Creath, “Phase-measurement interferometry techniques,” SPIE Short Course Notes SC37 (Society of Photo-Optical Instrumentation Engineers, Bellingham, Washington, 1993).

K. G. Larkin, B. F. Oreb, “Propagation of errors in different phase-shifting algorithms: a special property of the arctangent function,” in Proc. SPIE Interferometry: Techniques and Analysis, G. M. Brown, O. Y. Kwon, M. Kujawinska, eds., 1755, 219–227 (1993).

K. Creath, “Temporal phase measurement methods,” in Interferogram Analysis; Digital Fringe Pattern Measurement Techniques, D. W. Robinson, G. T. Reid, eds. (Institute of Physics, Bristol, 1993), Chap. 4, pp. 94–140.

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