Abstract

A light beam with an ideal wavefront that is transmitted or reflected from an object is modified by different characteristics of the object such as shape, refractive index, density, or temperature. Wavefront sensing therefore yields valuable information about the system or the changes happening to the system. A new method for wavefront sensing using a random amplitude mask and a phase retrieval method based on the Rayleigh–Sommerfeld wave propagation equation is described. The proposed method has many potential applications ranging from phase contrast imaging and measurement of lens aberration to shape measurement of three-dimensional objects.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. Gabor, Nature 161, 777 (1947).
    [CrossRef]
  2. J. M. Geary, Introduction to Wavefront Sensors (SPIE, 1995).
    [CrossRef]
  3. K. Buse and M. Luennemann, Phys. Rev. Lett. 85, 3385 (2000).
    [CrossRef] [PubMed]
  4. A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, Opt. Lett. 23, 817 (1998).
    [CrossRef]
  5. J. Wu, U. Weierstall, and J. C. H. Spence, Nat. Mater. 4, 912 (2005).
    [CrossRef] [PubMed]
  6. K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
    [CrossRef] [PubMed]
  7. J. R. Fienup, Appl. Opt. 21, 2758 (1982).
    [CrossRef] [PubMed]
  8. E. Kolenovic, J. Opt. Soc. Am. A 22, 899 (2005).
    [CrossRef]
  9. P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
    [CrossRef]
  10. P. Almoro, G. Pedrini, and W. Osten., Appl. Opt. 45, 8596 (2006).
    [CrossRef] [PubMed]
  11. P. Almoro, G. Pedrini, and W. Osten., Opt. Lett. 32, 733 (2007).
    [CrossRef] [PubMed]
  12. Q. B. Li, and F. P. Chiang, Appl. Opt. 31, 6287 (1992).
    [CrossRef] [PubMed]
  13. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
  14. A. Anand and V. K. Chhaniwal, Appl. Opt. 46, 2022 (2007).
    [CrossRef] [PubMed]

2007 (2)

2006 (1)

2005 (2)

E. Kolenovic, J. Opt. Soc. Am. A 22, 899 (2005).
[CrossRef]

J. Wu, U. Weierstall, and J. C. H. Spence, Nat. Mater. 4, 912 (2005).
[CrossRef] [PubMed]

2000 (1)

K. Buse and M. Luennemann, Phys. Rev. Lett. 85, 3385 (2000).
[CrossRef] [PubMed]

1999 (1)

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

1998 (1)

1996 (1)

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

1992 (1)

1982 (1)

1947 (1)

D. Gabor, Nature 161, 777 (1947).
[CrossRef]

Almoro, P.

Anand, A.

Barena, Z.

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

Barty, A.

Baruchel, J.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Buse, K.

K. Buse and M. Luennemann, Phys. Rev. Lett. 85, 3385 (2000).
[CrossRef] [PubMed]

Chhaniwal, V. K.

Chiang, F. P.

Cloetens, P.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Cookson, D. F.

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

Fienup, J. R.

Gabor, D.

D. Gabor, Nature 161, 777 (1947).
[CrossRef]

Geary, J. M.

J. M. Geary, Introduction to Wavefront Sensors (SPIE, 1995).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

Guigay, J. P.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Gureyev, T. E.

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

Kolenovic, E.

Li, Q. B.

Ludwig, W.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Luennemann, M.

K. Buse and M. Luennemann, Phys. Rev. Lett. 85, 3385 (2000).
[CrossRef] [PubMed]

Nugent, K. A.

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, Opt. Lett. 23, 817 (1998).
[CrossRef]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

Osten., W.

Paganin, D.

A. Barty, K. A. Nugent, D. Paganin, and A. Roberts, Opt. Lett. 23, 817 (1998).
[CrossRef]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

Pedrini, G.

Roberts, A.

Schlenker, M.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Spence, J. C. H.

J. Wu, U. Weierstall, and J. C. H. Spence, Nat. Mater. 4, 912 (2005).
[CrossRef] [PubMed]

Van Dyck, D.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Van Landyut, J.

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

Weierstall, U.

J. Wu, U. Weierstall, and J. C. H. Spence, Nat. Mater. 4, 912 (2005).
[CrossRef] [PubMed]

Wu, J.

J. Wu, U. Weierstall, and J. C. H. Spence, Nat. Mater. 4, 912 (2005).
[CrossRef] [PubMed]

Appl. Opt. (4)

Appl. Phys. Lett. (1)

P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landyut, J. P. Guigay, and M. Schlenker, Appl. Phys. Lett. 75, 2912 (1999).
[CrossRef]

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

Nat. Mater. (1)

J. Wu, U. Weierstall, and J. C. H. Spence, Nat. Mater. 4, 912 (2005).
[CrossRef] [PubMed]

Nature (1)

D. Gabor, Nature 161, 777 (1947).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. Lett. (2)

K. Buse and M. Luennemann, Phys. Rev. Lett. 85, 3385 (2000).
[CrossRef] [PubMed]

K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barena, Phys. Rev. Lett. 77, 2961 (1996).
[CrossRef] [PubMed]

Other (2)

J. M. Geary, Introduction to Wavefront Sensors (SPIE, 1995).
[CrossRef]

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).

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 (4)

Fig. 1
Fig. 1

Experimental setup.

Fig. 2
Fig. 2

Normalized correlation between input and reconstructed phase as a function of the number of (A) recorded intensities and (B) iterations. In plot (A) 5 iterations were performed, and in plot (B) 20 intensities were considered.

Fig. 3
Fig. 3

(a) Input phase. (b) Profile of the wavefront along the x direction. (c) Reconstructed phase from 16 recorded intensities after 5 iterations.

Fig. 4
Fig. 4

Reconstructed wavefront from the experimental intensity patterns. (a) 3D representation and (b) the cross section of the wavefront.

Metrics