Abstract

The application of a two dimensional (2D) grating interferometer–Fresnel zone plate combination for quantitative submicron phase contrast imaging is reported. The combination of the two optical elements allows quick recovery of the phase shift introduced by a sample in a hard X-ray beam, avoiding artifacts observed when using the one dimensional (1D) interferometer for a sample with features oriented in the unsensitive direction of the interferometer. The setup provides submicron resolution due to the optics magnification ratio and a fine sensitivity in both transverse orientations due to the 2D analysis gratings. The method opens up possibilities for sub-micro phase contrast tomography of microscopic objects made of light and/or homogeneous materials with randomly oriented features.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
    [CrossRef]
  2. M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
    [CrossRef]
  3. C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).
  4. T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
    [CrossRef]
  5. C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
    [CrossRef]
  6. T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, Opt. Express 13, 6296 (2005).
    [CrossRef]
  7. F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).
  8. M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
    [CrossRef]
  9. A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).
  10. K. L. Baker, Opt. Eng. 48, 086501 (2009).
  11. I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
    [CrossRef]
  12. I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
    [CrossRef]
  13. S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).
  14. T. Simchony, R. Chellappa, and M. Shao, IEEE Trans. Pattern Anal. Machine Intell. 12, 435 (1990).
    [CrossRef]
  15. B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
    [CrossRef]
  16. T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
    [CrossRef]

2011

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

2010

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
[CrossRef]

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

2009

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

K. L. Baker, Opt. Eng. 48, 086501 (2009).

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

2008

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

2007

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

2005

2004

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

2002

C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
[CrossRef]

1995

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

1993

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[CrossRef]

1990

T. Simchony, R. Chellappa, and M. Shao, IEEE Trans. Pattern Anal. Machine Intell. 12, 435 (1990).
[CrossRef]

Baines, S. B.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Baker, K. L.

K. L. Baker, Opt. Eng. 48, 086501 (2009).

Barrett, R.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

Baumann, J.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

Bech, M.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

Bronnimann, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

Bunk, O.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

Chabior, M.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Chellappa, R.

T. Simchony, R. Chellappa, and M. Shao, IEEE Trans. Pattern Anal. Machine Intell. 12, 435 (1990).
[CrossRef]

Cloetens, P.

David, C.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
[CrossRef]

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, Opt. Express 13, 6296 (2005).
[CrossRef]

C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
[CrossRef]

Davis, J. C.

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[CrossRef]

Davis, T. J.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

Diaz, A.

Dierolf, M.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Donath, T.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Eikenberry, E. F.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

Engelhardt, M.

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

Feser, M.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Gao, D.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

Gorelick, S.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

Grunzweig, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

Gullikson, E. M.

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[CrossRef]

Gureyev, T. E.

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

Guzenko, V. A.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

Hempel, E.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Henke, B. L.

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[CrossRef]

Hoheisel, M.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Holzner, C.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Hornberger, B.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Jacobsen, C.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Kewish, C. M.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Kottler, C.

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

Kraft, P.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

Mayo, S. C.

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

Menzel, A.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Mohr, J.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Momose, A.

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

Nohammer, B.

C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
[CrossRef]

Paganin, D. M.

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

Pfeiffer, F.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, Opt. Express 13, 6296 (2005).
[CrossRef]

Popescu, S.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Reznikova, E.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

Rutishauser, S.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
[CrossRef]

Salome, M.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

Schneider, P.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Schuster, M.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

Shao, M.

T. Simchony, R. Chellappa, and M. Shao, IEEE Trans. Pattern Anal. Machine Intell. 12, 435 (1990).
[CrossRef]

Simchony, T.

T. Simchony, R. Chellappa, and M. Shao, IEEE Trans. Pattern Anal. Machine Intell. 12, 435 (1990).
[CrossRef]

Solak, H. H.

C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
[CrossRef]

Stampanoni, M.

Stevenson, A. W.

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

Suzuki, Y.

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

Takeda, Y.

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

Takeuchi, A.

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

Thibault, P.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Vila-Comamala, J.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

Vogt, S.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Weitkamp, T.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, Opt. Express 13, 6296 (2005).
[CrossRef]

Wepf, R.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Wilkins, S. W.

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

Yashiro, W.

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

Zanette, I.

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
[CrossRef]

Ziegler, E.

AIP Conf. Proc.

I. Zanette, C. David, S. Rutishauser, and T. Weitkamp, AIP Conf. Proc. 1221, 73 (2010).
[CrossRef]

Appl. Phys. Lett.

C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
[CrossRef]

M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101(2007).
[CrossRef]

At. Data Nucl. Data Tables

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[CrossRef]

IEEE Trans. Pattern Anal. Machine Intell.

T. Simchony, R. Chellappa, and M. Shao, IEEE Trans. Pattern Anal. Machine Intell. 12, 435 (1990).
[CrossRef]

J. Appl. Phys.

T. Donath, M. Chabior, F. Pfeiffer, O. Bunk, E. Reznikova, J. Mohr, E. Hempel, S. Popescu, M. Hoheisel, M. Schuster, J. Baumann, and C. David, J. Appl. Phys. 106, 054703 (2009).
[CrossRef]

J. Phys.: Conf. Ser.

A. Momose, Y. Takeda, W. Yashiro, A. Takeuchi, and Y. Suzuki, J. Phys.: Conf. Ser.186 (2009).

J. Synchrotron Radiat.

S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salome, and C. David, J. Synchrotron Radiat. 18, 442 (2011).

Nat. Mater.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Bronnimann, C. Grunzweig, and C. David, Nat. Mater. 7, 134 (2008).

Nat. Phys.

C. Holzner, M. Feser, S. Vogt, B. Hornberger, S. B. Baines, and C. Jacobsen, Nat. Phys. 6, 883 (2010).

Nature

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
[CrossRef]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[CrossRef]

Opt. Eng.

K. L. Baker, Opt. Eng. 48, 086501 (2009).

Opt. Express

Phys. Rev. Lett.

T. E. Gureyev, D. M. Paganin, A. W. Stevenson, S. C. Mayo, and S. W. Wilkins, Phys. Rev. Lett. 93 (2004).
[CrossRef]

I. Zanette, T. Weitkamp, T. Donath, S. Rutishauser, and C. David, Phys. Rev. Lett. 105, 248102 (2010).
[CrossRef]

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.

Setup of the experiment. In our case, L0=47.5mm, L1=30mm, L2=129mm, L3=930mm, and L4=64mm.

Fig. 2.
Fig. 2.

Three images from the raster scan. The three images (a), (b), and (c) correspond to three acquisitions taken at different positions of the grating during the scan. The intensity in the point p during the scan is displayed at the bottom right, where the corresponding positions of the three images are also shown.

Fig. 3.
Fig. 3.

Calculated deflection angle in μrad. (a) Vertical gradient. (b) Horizontal gradient. As the profile cuts mirror it, one can notice the difference in visibility of the fibers depending on their orientation.

Fig. 4.
Fig. 4.

(a) Wavefront reconstruction from the two directional gradient and corresponding wavefront phase shift. The profile shown on the side corresponds to a cut following the dashed. (b) Absorption image. (c) Darkfield image.

Equations (1)

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

W·ex/y=p22π(Φx/ysampΦx/yref)L4.

Metrics