Abstract

We present an effective method for the pixel-size-maintained reconstruction of images on arbitrarily tilted planes in digital holography. The method is based on the plane wave expansion of the diffraction wave fields and the three-axis rotation of the wave vectors. The images on the tilted planes are reconstructed without loss of the frequency contents of the hologram and have the same pixel sizes. Our method shows good results in the extreme cases of large tilting angles and in the region closer than the paraxial case. The effectiveness of the method is demonstrated by both simulation and experiment.

© 2008 Optical Society of America

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2007 (1)

J. W. Kang and C. K. Hong, “Phase-contrast microscopy by in-line phase-shifting digital holography: shape measurement of a titanium pattern with nanometer axial resolution,” Opt. Eng. 46, 040506 (2007).

2006 (5)

2005 (4)

2004 (4)

P. Ferraro, S. De Nicola, G. Coppola, A. Finizio, D. Alfieri, and G. Pierattini, “Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms,” Opt. Lett. 29, 854-856 (2004).
[CrossRef]

F. Zhang, I. Yamaguchi, and L. P. Yaroslavsky, “Algorithm for reconstruction of digital holograms with adjustable magnification,” Opt. Lett. 29, 1668-1670 (2004).
[CrossRef]

H. Y. Yun, S. J. Jeong, J. W. Kang, and C. K. Hong, “3-dimensional micro-structure inspection by phase-shifting digital holography,” Key Eng. Mater. 270-273, 756-761 (2004).

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, “Recovering image resolution in reconstructing digital off-axis holograms by Fresnel-transform method,” Appl. Phy. Lett. 85, 2709-2711 (2004).

2003 (2)

2002 (1)

2001 (2)

2000 (2)

1999 (1)

1998 (1)

A. F. Ware, “Fast approximate Fourier transforms for irregularly spaced data,” SIAM Rev. 40, 838-856 (1998).
[CrossRef]

1997 (1)

1995 (1)

A. Dutt and V. Rokhlin, “Fast Fourier transforms for nonequispaced data, II,” Appl. Comput. Harmon. Anal. 2, 85-100(1995).
[CrossRef]

1994 (1)

Alfieri, D.

An, Y.

Aspert, N.

Asundi, A. K.

Benkouider, A.

Bevilacqua, F.

Bourquin, S.

Cai, L.

Charrière, F.

Coëtmellec, S.

Colomb, T.

Coppola, G.

P. Ferraro, S. De Nicola, G. Coppola, A. Finizio, D. Alfieri, and G. Pierattini, “Controlling image size as a function of distance and wavelength in Fresnel-transform reconstruction of digital holograms,” Opt. Lett. 29, 854-856 (2004).
[CrossRef]

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, “Recovering image resolution in reconstructing digital off-axis holograms by Fresnel-transform method,” Appl. Phy. Lett. 85, 2709-2711 (2004).

Cuche, E.

De Nicola, S.

Depeursinge, C.

Dutt, A.

A. Dutt and V. Rokhlin, “Fast Fourier transforms for nonequispaced data, II,” Appl. Comput. Harmon. Anal. 2, 85-100(1995).
[CrossRef]

Emery, Y.

Ferraro, P.

Finizio, A.

Hong, C. K.

J. W. Kang and C. K. Hong, “Phase-contrast microscopy by in-line phase-shifting digital holography: shape measurement of a titanium pattern with nanometer axial resolution,” Opt. Eng. 46, 040506 (2007).

H. Y. Yun, S. J. Jeong, J. W. Kang, and C. K. Hong, “3-dimensional micro-structure inspection by phase-shifting digital holography,” Key Eng. Mater. 270-273, 756-761 (2004).

Javidi, B.

Jeong, S. J.

H. Y. Yun, S. J. Jeong, J. W. Kang, and C. K. Hong, “3-dimensional micro-structure inspection by phase-shifting digital holography,” Key Eng. Mater. 270-273, 756-761 (2004).

Jüptner, W.

Kang, J. W.

J. W. Kang and C. K. Hong, “Phase-contrast microscopy by in-line phase-shifting digital holography: shape measurement of a titanium pattern with nanometer axial resolution,” Opt. Eng. 46, 040506 (2007).

H. Y. Yun, S. J. Jeong, J. W. Kang, and C. K. Hong, “3-dimensional micro-structure inspection by phase-shifting digital holography,” Key Eng. Mater. 270-273, 756-761 (2004).

Kato, J.-i.

Kim, M. K.

Kühn, J.

Lebrun, D.

Magistretti, P. J.

Malek, M.

Marian, A.

Marquet, P.

Massig, J. H.

Matsushima, K.

Miao, J.

Mizuno, J.

Montfort, F.

Ohta, S.

Ohzu, H.

Peng, X.

Pierattini, G.

Rappaz, B.

Rokhlin, V.

A. Dutt and V. Rokhlin, “Fast Fourier transforms for nonequispaced data, II,” Appl. Comput. Harmon. Anal. 2, 85-100(1995).
[CrossRef]

Schimmel, H.

Schnars, U.

Stadelmaier, A.

Stern, A.

Takaki, Y.

Ware, A. F.

A. F. Ware, “Fast approximate Fourier transforms for irregularly spaced data,” SIAM Rev. 40, 838-856 (1998).
[CrossRef]

Wyrowski, F.

Xu, L.

Yamaguchi, I.

Yaroslavsky, L. P.

Yu, L.

Yun, H. Y.

H. Y. Yun, S. J. Jeong, J. W. Kang, and C. K. Hong, “3-dimensional micro-structure inspection by phase-shifting digital holography,” Key Eng. Mater. 270-273, 756-761 (2004).

Zhang, F.

Zhang, T.

Appl. Comput. Harmon. Anal. (1)

A. Dutt and V. Rokhlin, “Fast Fourier transforms for nonequispaced data, II,” Appl. Comput. Harmon. Anal. 2, 85-100(1995).
[CrossRef]

Appl. Opt. (4)

Appl. Phy. Lett. (1)

P. Ferraro, S. De Nicola, A. Finizio, G. Pierattini, and G. Coppola, “Recovering image resolution in reconstructing digital off-axis holograms by Fresnel-transform method,” Appl. Phy. Lett. 85, 2709-2711 (2004).

J. Opt. Soc. Am. A (3)

Key Eng. Mater. (1)

H. Y. Yun, S. J. Jeong, J. W. Kang, and C. K. Hong, “3-dimensional micro-structure inspection by phase-shifting digital holography,” Key Eng. Mater. 270-273, 756-761 (2004).

Opt. Commun. (1)

L. Yu and M. K. Kim, “Variable tomographic scanning with wavelength scanning digital interference holography.” Opt. Commun. 260, 462-468 (2006).

Opt. Eng. (1)

J. W. Kang and C. K. Hong, “Phase-contrast microscopy by in-line phase-shifting digital holography: shape measurement of a titanium pattern with nanometer axial resolution,” Opt. Eng. 46, 040506 (2007).

Opt. Express (6)

Opt. Lett. (7)

SIAM Rev. (1)

A. F. Ware, “Fast approximate Fourier transforms for irregularly spaced data,” SIAM Rev. 40, 838-856 (1998).
[CrossRef]

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