Abstract

Synthetic aperture enlargement is obtained, in lensless digital holography, by introducing a diffraction grating between the object and the CCD camera with the aim of getting super-resolution. We demonstrate here that the spatial frequencies are naturally self-assembled in the reconstructed image plane when the NA is increased synthetically at its maximum extent of three times. By this approach it possible to avoid the use of the grating transmission formula in the numerical reconstruction process, thus reducing significantly the noise in the final super-resolved image. Demonstrations are reported in 1D and 2D with an optical target and a biological sample, respectively.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. B. Kemper and G. von Bally, Appl. Opt. 47, A52 (2008).
    [CrossRef] [PubMed]
  2. P. Ferraro, D. Alfieri, S. De Nicola, L. De Petrocellis, A. Finizio, and G. Pierattini, Opt. Lett. 31, 1405 (2006).
    [CrossRef] [PubMed]
  3. L. Xu, X. Peng, J. Miao, and A. K. Asundi, Appl. Opt. 40, 5046 (2001).
    [CrossRef]
  4. F. Dubois, N. Callens, C. Yourassowsky, M. Hoyos, P. Kurowski, and O. Monnom, Appl. Opt. 45, 864 (2006).
    [CrossRef] [PubMed]
  5. J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, Appl. Opt. 45, 836 (2006).
    [CrossRef] [PubMed]
  6. F. Le Clerc, M. Gross, and L. Collot, Opt. Lett. 26, 1550 (2001).
    [CrossRef]
  7. R. Binet, J. Colineau, and J.-C. Lehureau, Appl. Opt. 41, 4775 (2002).
    [CrossRef] [PubMed]
  8. J. H. Massig, Opt. Lett. 27, 2179 (2002).
    [CrossRef]
  9. S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
    [CrossRef] [PubMed]
  10. Y. Kuznetsova, A. Neumann, and S. R. Brueck, Opt. Express 15, 6651 (2007).
    [CrossRef] [PubMed]
  11. L. Martínez-León and B. Javidi, Opt. Express 16, 161 (2008).
    [CrossRef] [PubMed]
  12. V. Mico, Z. Zalevsky, C. Ferreira, and J. García, Opt. Express 16, 19260 (2008).
    [CrossRef]
  13. T. R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
    [CrossRef] [PubMed]
  14. P. Feng, X. Wen, and R. Lu, Opt. Express 17, 5473 (2009).
    [CrossRef] [PubMed]
  15. C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
    [CrossRef]
  16. M. Paturzo, F. Merola, S. Grilli, S. De Nicola, A. Finizio, and P. Ferraro, Opt. Express 16, 17107 (2008).
    [CrossRef] [PubMed]
  17. F. Zhang, I. Yamaguchi, and L. P. Yaroslavsky, Opt. Lett. 29, 1668 (2004).
    [CrossRef] [PubMed]

2009

2008

2007

2006

2004

2002

2001

Alexandrov, S. A.

T. R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef] [PubMed]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Alfieri, D.

Asundi, A. K.

Binet, R.

Bo, F.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Brueck, S. R.

Callens, N.

Colineau, J.

Collot, L.

De Nicola, S.

De Petrocellis, L.

Dubois, F.

Feng, P.

Ferraro, P.

Ferreira, C.

Finizio, A.

García, J.

Garcia-Sucerquia, J.

Grilli, S.

Gross, M.

Gutzler, T.

T. R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef] [PubMed]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Hillman, T. R.

T. R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef] [PubMed]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Hoyos, M.

Javidi, B.

Jericho, M. H.

Jericho, S. K.

Kemper, B.

Klages, P.

Kreuzer, H. J.

Kurowski, P.

Kuznetsova, Y.

Le Clerc, F.

Lehureau, J.-C.

Liu, C.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Liu, Z.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Lu, R.

Martínez-León, L.

Massig, J. H.

Merola, F.

Miao, J.

Mico, V.

Monnom, O.

Neumann, A.

Paturzo, M.

Peng, X.

Pierattini, G.

Sampson, D. D.

T. R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef] [PubMed]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

von Bally, G.

Wang, Y.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Wen, X.

Xu, L.

Xu, W.

Yamaguchi, I.

Yaroslavsky, L. P.

Yourassowsky, C.

Zalevsky, Z.

Zhang, F.

Zhu, J.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

C. Liu, Z. Liu, F. Bo, Y. Wang, and J. Zhu, Appl. Phys. Lett. 81, 3143 (2002).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef] [PubMed]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

(a) DH setup with a grating, (b) geometric scheme of the reconstruction without a grating in self-assembling mode, (c) geometric scheme to show the automatic superimposition in the self-assembling mode.

Fig. 2
Fig. 2

Reconstructions adopting different values ( d 1 , d 2 ) . Spatial frequencies are wrongly assembled in (a) and (b) and are correct in (c) and (d).

Fig. 3
Fig. 3

Reconstructions (a) without and (b) with the grating (super-resolved image). In (c) profile of the 100 μ m along the line in the inset of (a) showing that the grating is not well resolved. (d), (e), and (f) Profiles of lines 1, 2, and 3 indicated in (b).

Fig. 4
Fig. 4

(a) Super-resolved image obtained by the method in [15, 16] and (b) by using self-assembling approach.

Fig. 5
Fig. 5

(a) Slice of fly’s head eye at optical microscope, (b) DH reconstructed image without super-resolution, (c) super-resolved image.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

d 2 = p N P CCD λ .
Δ ξ = N x Pr ,

Metrics