Abstract

We comment on a recent Letter by Zhang et al. [Opt. Lett. 31, 1633 (2006)] in which the authors proposed a reconstruction algorithm for high-numerical-aperture (NA) holograms. Such an algorithm has been available for in-line holography for more than a decade. The authors’ “achievement” of high NA for digital in-line holography, NA=0.17, is below what was reported already several years ago (NA=0.30) and is considerably lower than what is routinely achieved now. We present reconstructions of holograms acquired with NAs above 0.4 in which we show maximal achievable resolution.

© 2006 Optical Society of America

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  1. F. Zhang, G. Pedrini, and W. Osten, Opt. Lett. 31, 1633 (2006).
    [CrossRef] [PubMed]
  2. Wenbo Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Appl. Opt. 41, 5367 (2002).
    [CrossRef] [PubMed]
  3. H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
    [CrossRef]
  4. H. J. Kreuzer and R. A. Pawlitzek, LEEPS Version 1.2, "A software package for the simulation and reconstruction of Low Energy Electron Point Source images and other holograms" (Helix Science Applications, 1993-1998).
  5. H. J. Kreuzer and P. Klages, DIHM-software, "A software package for the reconstruction of digital in-line and other holograms" (Helix Science Applications, 2006).
  6. H. J. Kreuzer, "Holographic microscope and method of hologram reconstruction," U.S. patent 6,411,406 B1 (June 25, 2002).
  7. H. J. Kreuzer, M. H. Jericho, I. A. Meinertzhagen, and W. Xu, J. Phys.: Condens. Matter 13, 10729 (2001).
    [CrossRef]
  8. W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Proc. Natl. Acad. Sci. U.S.A. 98, 11301 (2001).
    [CrossRef] [PubMed]
  9. W. Xu, M. H. Jericho, H. J. Kreuzer, and I. A. Meinertzhagen, Opt. Lett. 28, 164 (2003).
    [CrossRef] [PubMed]
  10. J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, Appl. Opt. 45, 836 (2006).
    [CrossRef] [PubMed]
  11. M. H. Jericho, J. Garcia-Sucerquia, W. Xu, S. M. Jericho, and H. J. Kreuzer, Rev. Sci. Instrum. 77, 043706 (2006).
    [CrossRef]
  12. J. Garcia-Sucerquia, W. Xu, M. H. Jericho, and H. J. Kreuzer, Opt. Lett. 31, 1211 (2006).
    [CrossRef] [PubMed]

2006 (4)

2003 (1)

2002 (1)

2001 (2)

H. J. Kreuzer, M. H. Jericho, I. A. Meinertzhagen, and W. Xu, J. Phys.: Condens. Matter 13, 10729 (2001).
[CrossRef]

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Proc. Natl. Acad. Sci. U.S.A. 98, 11301 (2001).
[CrossRef] [PubMed]

1992 (1)

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

Fink, H.-W.

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

Garcia-Sucerquia, J.

Jericho, M. H.

Jericho, S. K.

Jericho, S. M.

M. H. Jericho, J. Garcia-Sucerquia, W. Xu, S. M. Jericho, and H. J. Kreuzer, Rev. Sci. Instrum. 77, 043706 (2006).
[CrossRef]

Klages, P.

J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, Appl. Opt. 45, 836 (2006).
[CrossRef] [PubMed]

H. J. Kreuzer and P. Klages, DIHM-software, "A software package for the reconstruction of digital in-line and other holograms" (Helix Science Applications, 2006).

Kreuzer, H. J.

M. H. Jericho, J. Garcia-Sucerquia, W. Xu, S. M. Jericho, and H. J. Kreuzer, Rev. Sci. Instrum. 77, 043706 (2006).
[CrossRef]

J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, Appl. Opt. 45, 836 (2006).
[CrossRef] [PubMed]

J. Garcia-Sucerquia, W. Xu, M. H. Jericho, and H. J. Kreuzer, Opt. Lett. 31, 1211 (2006).
[CrossRef] [PubMed]

W. Xu, M. H. Jericho, H. J. Kreuzer, and I. A. Meinertzhagen, Opt. Lett. 28, 164 (2003).
[CrossRef] [PubMed]

Wenbo Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Appl. Opt. 41, 5367 (2002).
[CrossRef] [PubMed]

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Proc. Natl. Acad. Sci. U.S.A. 98, 11301 (2001).
[CrossRef] [PubMed]

H. J. Kreuzer, M. H. Jericho, I. A. Meinertzhagen, and W. Xu, J. Phys.: Condens. Matter 13, 10729 (2001).
[CrossRef]

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

H. J. Kreuzer, "Holographic microscope and method of hologram reconstruction," U.S. patent 6,411,406 B1 (June 25, 2002).

H. J. Kreuzer and R. A. Pawlitzek, LEEPS Version 1.2, "A software package for the simulation and reconstruction of Low Energy Electron Point Source images and other holograms" (Helix Science Applications, 1993-1998).

H. J. Kreuzer and P. Klages, DIHM-software, "A software package for the reconstruction of digital in-line and other holograms" (Helix Science Applications, 2006).

Meinertzhagen, I. A.

W. Xu, M. H. Jericho, H. J. Kreuzer, and I. A. Meinertzhagen, Opt. Lett. 28, 164 (2003).
[CrossRef] [PubMed]

Wenbo Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Appl. Opt. 41, 5367 (2002).
[CrossRef] [PubMed]

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Proc. Natl. Acad. Sci. U.S.A. 98, 11301 (2001).
[CrossRef] [PubMed]

H. J. Kreuzer, M. H. Jericho, I. A. Meinertzhagen, and W. Xu, J. Phys.: Condens. Matter 13, 10729 (2001).
[CrossRef]

Nakamura, K.

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

Osten, W.

Pawlitzek, R. A.

H. J. Kreuzer and R. A. Pawlitzek, LEEPS Version 1.2, "A software package for the simulation and reconstruction of Low Energy Electron Point Source images and other holograms" (Helix Science Applications, 1993-1998).

Pedrini, G.

Schmid, H.

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

Wierzbicki, A.

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

Xu, W.

J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, Appl. Opt. 45, 836 (2006).
[CrossRef] [PubMed]

M. H. Jericho, J. Garcia-Sucerquia, W. Xu, S. M. Jericho, and H. J. Kreuzer, Rev. Sci. Instrum. 77, 043706 (2006).
[CrossRef]

J. Garcia-Sucerquia, W. Xu, M. H. Jericho, and H. J. Kreuzer, Opt. Lett. 31, 1211 (2006).
[CrossRef] [PubMed]

W. Xu, M. H. Jericho, H. J. Kreuzer, and I. A. Meinertzhagen, Opt. Lett. 28, 164 (2003).
[CrossRef] [PubMed]

H. J. Kreuzer, M. H. Jericho, I. A. Meinertzhagen, and W. Xu, J. Phys.: Condens. Matter 13, 10729 (2001).
[CrossRef]

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Proc. Natl. Acad. Sci. U.S.A. 98, 11301 (2001).
[CrossRef] [PubMed]

Xu, Wenbo

Zhang, F.

Appl. Opt. (2)

J. Phys.: Condens. Matter (1)

H. J. Kreuzer, M. H. Jericho, I. A. Meinertzhagen, and W. Xu, J. Phys.: Condens. Matter 13, 10729 (2001).
[CrossRef]

Opt. Lett. (3)

Proc. Natl. Acad. Sci. U.S.A. (1)

W. Xu, M. H. Jericho, I. A. Meinertzhagen, and H. J. Kreuzer, Proc. Natl. Acad. Sci. U.S.A. 98, 11301 (2001).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

M. H. Jericho, J. Garcia-Sucerquia, W. Xu, S. M. Jericho, and H. J. Kreuzer, Rev. Sci. Instrum. 77, 043706 (2006).
[CrossRef]

Ultramicroscopy (1)

H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H.-W. Fink, and H. Schmid, Ultramicroscopy 45, 381 (1992).
[CrossRef]

Other (3)

H. J. Kreuzer and R. A. Pawlitzek, LEEPS Version 1.2, "A software package for the simulation and reconstruction of Low Energy Electron Point Source images and other holograms" (Helix Science Applications, 1993-1998).

H. J. Kreuzer and P. Klages, DIHM-software, "A software package for the reconstruction of digital in-line and other holograms" (Helix Science Applications, 2006).

H. J. Kreuzer, "Holographic microscope and method of hologram reconstruction," U.S. patent 6,411,406 B1 (June 25, 2002).

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Figures (3)

Fig. 1
Fig. 1

Reconstruction of self-assembled polystyrene beads ( 1.09 μ m in diameter). NA = 0.46 , pinhole-to-sample distance 170 μ m . Full reconstruction area 184.32 μ m × 184.32 μ m .

Fig. 2
Fig. 2

Magnified reconstruction of same sample as in Fig. 1. NA = 0.46 , pinhole-to-sample distance 75 μ m . Full reconstruction area 81.92 μ m × 81.92 μ m . The inset shows the cut along the white line.

Fig. 3
Fig. 3

Self-assembled monolayer of polystyrene beads of 1.09 μ m in diameter. NA = 0.46 , pinhole-to-sample distance 150 μ m . Full reconstruction area 143.46 μ m × 143.36 μ m .

Equations (1)

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K ( r ) = screen d 2 ξ I ̃ ( ξ ) exp ( i k r ξ ξ ) .

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