Abstract

We report on the design and realization of an x-ray imaging system for quantitative phase-contrast microscopy at high x-ray energy with laboratory-scale instrumentation. Phase and amplitude were separated quantitatively at x-ray energies up to 80 keV with micrometric spatial resolution. The accuracy of the results was tested against numerical simulations, and the spatial resolution was experimentally quantified by measuring a Siemens star phase object. This simple setup should find broad application in those areas of x-ray imaging where high energy and spatial resolution are simultaneously required and in those difficult cases where the sample contains materials with similar x-ray absorption.

© 2014 Optical Society of America

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    [CrossRef]
  2. U. Bonse and M. Hart, Appl. Phys. Lett. 6, 155 (1965).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  6. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  9. A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
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  22. J. Choi and Y.-S. Park, Appl. Phys. Express 5, 042503 (2012).
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    [CrossRef]
  24. P. R. Munro, L. Rigon, K. Ignatyev, F. C. Lopez, D. Dreossi, R. D. Speller, and A. Olivo, Opt. Express 21, 647 (2013).
    [CrossRef]
  25. P. R. Munro, C. K. Hagen, M. B. Szafraniec, and A. Olivo, Opt. Express 21, 11187 (2013).
    [CrossRef]
  26. M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
    [CrossRef]
  27. K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
    [CrossRef]
  28. T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
    [CrossRef]
  29. J. P. Guigay, C. R. Acad. Sc. Paris 284B, 193 (1977).
  30. J. P. Guigay, Optik 49, 121 (1977).
  31. F. A. Vittoria, P. C. Diemoz, M. Endrizzi, L. Rigon, F. C. Lopez, D. Dreossi, P. R. T. Munro, and A. Olivo, Appl. Opt. 52, 6940 (2013).
  32. M. Endrizzi, P. Oliva, B. Golosio, and P. Delogu, Nucl. Instrum. Methods Phys. Res. A 703, 26 (2013).
    [CrossRef]
  33. P. R. T. Munro and A. Olivo, Phys. Rev. A 87, 053838 (2013).
    [CrossRef]
  34. T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
    [CrossRef]

2013 (5)

2012 (3)

P. R. Munro, K. Ignatyev, R. D. Speller, and A. Olivo, Proc. Natl. Acad. Sci. USA 109, 13922 (2012).
[CrossRef]

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

J. Choi and Y.-S. Park, Appl. Phys. Express 5, 042503 (2012).
[CrossRef]

2011 (4)

K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
[CrossRef]

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

2010 (1)

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

2009 (2)

W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
[CrossRef]

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

2008 (1)

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

2007 (2)

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

A. Olivo and R. Speller, Appl. Phys. Lett. 91, 074106 (2007).
[CrossRef]

2006 (1)

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Nat. Phys. 2, 258 (2006).
[CrossRef]

2005 (1)

2003 (1)

2002 (1)

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

2001 (1)

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

2000 (1)

R. Fitzgerald, Phys. Today 53(7), 23 (2000).
[CrossRef]

1996 (2)

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, Nature 384, 335 (1996).
[CrossRef]

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
[CrossRef]

1995 (3)

V. N. Ingal and E. A. Beliaevskaya, J. Phys. D 28, 2314 (1995).
[CrossRef]

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
[CrossRef]

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

1980 (1)

E. Foerster, K. Goetz, and P. Zaumseil, Kristall und Technik 15, 937 (1980).
[CrossRef]

1979 (1)

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

1977 (2)

J. P. Guigay, C. R. Acad. Sc. Paris 284B, 193 (1977).

J. P. Guigay, Optik 49, 121 (1977).

1965 (1)

U. Bonse and M. Hart, Appl. Phys. Lett. 6, 155 (1965).
[CrossRef]

Arfelli, F.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Baines, S. B.

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

Baumann, J.

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

Beliaevskaya, E. A.

V. N. Ingal and E. A. Beliaevskaya, J. Phys. D 28, 2314 (1995).
[CrossRef]

Bonse, U.

U. Bonse and M. Hart, Appl. Phys. Lett. 6, 155 (1965).
[CrossRef]

Borges, P. D. N.

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

Brunetti, A.

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

Bunk, O.

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

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Nat. Phys. 2, 258 (2006).
[CrossRef]

Cantatore, G.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Castelli, E.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Chen, Z.-Q.

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Choi, J.

J. Choi and Y.-S. Park, Appl. Phys. Express 5, 042503 (2012).
[CrossRef]

Cloetens, P.

David, C.

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

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

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Nat. Phys. 2, 258 (2006).
[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, T.

Davis, T. J.

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

del Rio, M. S.

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

Delogu, P.

M. Endrizzi, P. Oliva, B. Golosio, and P. Delogu, Nucl. Instrum. Methods Phys. Res. A 703, 26 (2013).
[CrossRef]

Diaz, A.

Diemoz, P. C.

Ding, F.

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Dreossi, D.

Endrizzi, M.

F. A. Vittoria, P. C. Diemoz, M. Endrizzi, L. Rigon, F. C. Lopez, D. Dreossi, P. R. T. Munro, and A. Olivo, Appl. Opt. 52, 6940 (2013).

M. Endrizzi, P. Oliva, B. Golosio, and P. Delogu, Nucl. Instrum. Methods Phys. Res. A 703, 26 (2013).
[CrossRef]

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

Engelhardt, M.

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

Fang, Q.-G.

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Fedotov, S. I.

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Ferrero, C.

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

Feser, M.

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

Fitzgerald, R.

R. Fitzgerald, Phys. Today 53(7), 23 (2000).
[CrossRef]

Foerster, E.

E. Foerster, K. Goetz, and P. Zaumseil, Kristall und Technik 15, 937 (1980).
[CrossRef]

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Gao, D.

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, Nature 384, 335 (1996).
[CrossRef]

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

Goetz, K.

E. Foerster, K. Goetz, and P. Zaumseil, Kristall und Technik 15, 937 (1980).
[CrossRef]

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Golosio, B.

M. Endrizzi, P. Oliva, B. Golosio, and P. Delogu, Nucl. Instrum. Methods Phys. Res. A 703, 26 (2013).
[CrossRef]

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

Grund, T.

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

Guigay, J. P.

J. P. Guigay, C. R. Acad. Sc. Paris 284B, 193 (1977).

J. P. Guigay, Optik 49, 121 (1977).

Gureyev, T.

Gureyev, T. E.

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, Nature 384, 335 (1996).
[CrossRef]

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

Hagen, C. K.

P. R. Munro, C. K. Hagen, M. B. Szafraniec, and A. Olivo, Opt. Express 21, 11187 (2013).
[CrossRef]

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

Harasse, S.

H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

Hart, M.

U. Bonse and M. Hart, Appl. Phys. Lett. 6, 155 (1965).
[CrossRef]

Hattori, T.

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

Hirano, K.

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
[CrossRef]

Holzner, C.

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

Hornberger, B.

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

Huang, Z.-F.

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Ignatyev, K.

P. R. Munro, L. Rigon, K. Ignatyev, F. C. Lopez, D. Dreossi, R. D. Speller, and A. Olivo, Opt. Express 21, 647 (2013).
[CrossRef]

P. R. Munro, K. Ignatyev, R. D. Speller, and A. Olivo, Proc. Natl. Acad. Sci. USA 109, 13922 (2012).
[CrossRef]

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
[CrossRef]

Ingal, V. N.

V. N. Ingal and E. A. Beliaevskaya, J. Phys. D 28, 2314 (1995).
[CrossRef]

Itai, Y.

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
[CrossRef]

Jacobsen, C.

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

Kalashnikov, M. P.

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Kang, K.-J.

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Kenntner, J.

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

Kohn, V.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
[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]

Kuwabara, H.

H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

Kuznetsov, S.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
[CrossRef]

Longo, R.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Lopez, F. C.

Marenzana, M.

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

Mayo, S.

Menk, R. H.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Mikhailov, I. A.

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Miller, P.

Mizutani, H.

H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

Modregger, P.

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

Momose, A.

H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
[CrossRef]

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
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Munro, P. R. T.

P. R. T. Munro and A. Olivo, Phys. Rev. A 87, 053838 (2013).
[CrossRef]

F. A. Vittoria, P. C. Diemoz, M. Endrizzi, L. Rigon, F. C. Lopez, D. Dreossi, P. R. T. Munro, and A. Olivo, Appl. Opt. 52, 6940 (2013).

K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
[CrossRef]

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C. David, B. Nohammer, H. H. Solak, and E. Ziegler, Appl. Phys. Lett. 81, 3287 (2002).
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M. Endrizzi, P. Oliva, B. Golosio, and P. Delogu, Nucl. Instrum. Methods Phys. Res. A 703, 26 (2013).
[CrossRef]

Olivo, A.

P. R. T. Munro and A. Olivo, Phys. Rev. A 87, 053838 (2013).
[CrossRef]

P. R. Munro, C. K. Hagen, M. B. Szafraniec, and A. Olivo, Opt. Express 21, 11187 (2013).
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F. A. Vittoria, P. C. Diemoz, M. Endrizzi, L. Rigon, F. C. Lopez, D. Dreossi, P. R. T. Munro, and A. Olivo, Appl. Opt. 52, 6940 (2013).

P. R. Munro, L. Rigon, K. Ignatyev, F. C. Lopez, D. Dreossi, R. D. Speller, and A. Olivo, Opt. Express 21, 647 (2013).
[CrossRef]

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

P. R. Munro, K. Ignatyev, R. D. Speller, and A. Olivo, Proc. Natl. Acad. Sci. USA 109, 13922 (2012).
[CrossRef]

K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
[CrossRef]

A. Olivo and R. Speller, Appl. Phys. Lett. 91, 074106 (2007).
[CrossRef]

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

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Pani, S.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
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Park, Y.-S.

J. Choi and Y.-S. Park, Appl. Phys. Express 5, 042503 (2012).
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M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101 (2007).
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F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Nat. Phys. 2, 258 (2006).
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T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, P. Cloetens, and E. Ziegler, Opt. Express 13, 6296 (2005).
[CrossRef]

Pogany, A.

Poropat, P.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Prest, M.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
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T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
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M. Engelhardt, J. Baumann, M. Schuster, C. Kottler, F. Pfeiffer, O. Bunk, and C. David, Appl. Phys. Lett. 90, 224101 (2007).
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K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

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A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
[CrossRef]

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A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
[CrossRef]

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

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T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

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A. Olivo and R. Speller, Appl. Phys. Lett. 91, 074106 (2007).
[CrossRef]

Speller, R. D.

P. R. Munro, L. Rigon, K. Ignatyev, F. C. Lopez, D. Dreossi, R. D. Speller, and A. Olivo, Opt. Express 21, 647 (2013).
[CrossRef]

P. R. Munro, K. Ignatyev, R. D. Speller, and A. Olivo, Proc. Natl. Acad. Sci. USA 109, 13922 (2012).
[CrossRef]

K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
[CrossRef]

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T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

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

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Stevenson, A. W.

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, Nature 384, 335 (1996).
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T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
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W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
[CrossRef]

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

Szafraniec, M. B.

P. R. Munro, C. K. Hagen, M. B. Szafraniec, and A. Olivo, Opt. Express 21, 11187 (2013).
[CrossRef]

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

Takeda, T.

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
[CrossRef]

Takeda, Y.

W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
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Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
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W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
[CrossRef]

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

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T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
[CrossRef]

Tromba, G.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Vallazza, E.

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Vincze, L.

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

Vittoria, F. A.

Vogt, S.

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

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Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Weitkamp, T.

Wilkins, S.

Wilkins, S. W.

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, Nature 384, 335 (1996).
[CrossRef]

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, Nature 373, 595 (1995).
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H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
[CrossRef]

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

Zaumseil, P.

E. Foerster, K. Goetz, and P. Zaumseil, Kristall und Technik 15, 937 (1980).
[CrossRef]

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Zhang, L.

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
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Ziegler, E.

Appl. Opt. (1)

Appl. Phys. Express (3)

Y. Takeda, W. Yashiro, T. Hattori, A. Takeuchi, Y. Suzuki, and A. Momose, Appl. Phys. Express 1, 117002 (2008).
[CrossRef]

H. Kuwabara, W. Yashiro, S. Harasse, H. Mizutani, and A. Momose, Appl. Phys. Express 4, 062502 (2011).
[CrossRef]

J. Choi and Y.-S. Park, Appl. Phys. Express 5, 042503 (2012).
[CrossRef]

Appl. Phys. Lett. (5)

A. Olivo and R. Speller, Appl. Phys. Lett. 91, 074106 (2007).
[CrossRef]

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]

U. Bonse and M. Hart, Appl. Phys. Lett. 6, 155 (1965).
[CrossRef]

T. Thuering, P. Modregger, T. Grund, J. Kenntner, C. David, and M. Stampanoni, Appl. Phys. Lett. 99, 041111 (2011).
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C. R. Acad. Sc. Paris (1)

J. P. Guigay, C. R. Acad. Sc. Paris 284B, 193 (1977).

J. Phys. D (1)

V. N. Ingal and E. A. Beliaevskaya, J. Phys. D 28, 2314 (1995).
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Kristall und Technik (1)

E. Foerster, K. Goetz, and P. Zaumseil, Kristall und Technik 15, 937 (1980).
[CrossRef]

Kvantovaia Elektronika Moscow (1)

K. Goetz, E. Foerster, P. Zaumseil, M. P. Kalashnikov, I. A. Mikhailov, G. V. Sklizkov, and S. I. Fedotov, Kvantovaia Elektronika Moscow 6, 1037 (1979).

Med. Phys. (1)

A. Olivo, F. Arfelli, G. Cantatore, R. Longo, R. H. Menk, S. Pani, M. Prest, P. Poropat, L. Rigon, G. Tromba, E. Vallazza, and E. Castelli, Med. Phys. 28, 1610 (2001).
[CrossRef]

Nat. Med. (1)

A. Momose, T. Takeda, Y. Itai, and K. Hirano, Nat. Med. 2, 473 (1996).
[CrossRef]

Nat. Phys. (2)

F. Pfeiffer, T. Weitkamp, O. Bunk, and C. David, Nat. Phys. 2, 258 (2006).
[CrossRef]

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

Nature (2)

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

S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, Nature 384, 335 (1996).
[CrossRef]

Nucl. Instrum. Methods Phys. Res. A (1)

M. Endrizzi, P. Oliva, B. Golosio, and P. Delogu, Nucl. Instrum. Methods Phys. Res. A 703, 26 (2013).
[CrossRef]

Opt. Express (4)

Optik (1)

J. P. Guigay, Optik 49, 121 (1977).

Phys. Med. Biol. (1)

M. Marenzana, C. K. Hagen, P. D. N. Borges, M. Endrizzi, M. B. Szafraniec, K. Ignatyev, and A. Olivo, Phys. Med. Biol. 57, 8173 (2012).
[CrossRef]

Phys. Rev. A (2)

P. R. T. Munro and A. Olivo, Phys. Rev. A 87, 053838 (2013).
[CrossRef]

Z.-F. Huang, K.-J. Kang, L. Zhang, Z.-Q. Chen, F. Ding, Z.-T. Wang, and Q.-G. Fang, Phys. Rev. A 79, 013815 (2009).
[CrossRef]

Phys. Rev. Lett. (1)

W. Yashiro, Y. Takeda, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. Lett. 103, 180801 (2009).
[CrossRef]

Phys. Today (1)

R. Fitzgerald, Phys. Today 53(7), 23 (2000).
[CrossRef]

Proc. Natl. Acad. Sci. USA (1)

P. R. Munro, K. Ignatyev, R. D. Speller, and A. Olivo, Proc. Natl. Acad. Sci. USA 109, 13922 (2012).
[CrossRef]

Rev. Sci. Instrum. (2)

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, Rev. Sci. Instrum. 66, 5486 (1995).
[CrossRef]

K. Ignatyev, P. R. T. Munro, R. D. Speller, and A. Olivo, Rev. Sci. Instrum. 82, 073702 (2011).
[CrossRef]

Spectrochim. Acta B (1)

T. Schoonjans, A. Brunetti, B. Golosio, M. S. del Rio, V. A. Solé, C. Ferrero, and L. Vincze, Spectrochim. Acta B 66, 776 (2011).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Experimental setup: the x-ray beam, generated by a microfocus x-ray source S, is shaped by the first mask M1, traverses the sample, and is analyzed by the second mask M2 before being recorded by the pixels P of a digital detector.

Fig. 2.
Fig. 2.

Evaluation of Eq. (3) as a function of the period of a sinusoidal phase object.

Fig. 3.
Fig. 3.

Star pattern phase object. (a) Differential phase-contrast experimental image (scale bar is 50 μm). (b) Simulation (solid line) compared against the experimental profile (dashed line) extracted from the highlighted region in the center of the star.

Fig. 4.
Fig. 4.

Boron fiber with a tungsten core sample. (a) Comparison of the experimental intensity profile [highlighted region in (b) sector] against the theoretically expected one for a single fiber. (b) Differential phase and (c) amplitude images of two fibers at an angle.

Fig. 5.
Fig. 5.

Image of the bamboo sample. (a) Differential phase and (b) amplitude images, quantitatively separated by using the laboratory setup (scale bar 100 μm). (c) Zoom of the highlighted 120μm×120μm regions of (a) and (b), top and bottom, respectively. (d) Free-space propagation image acquired with a high-resolution detector and monochromatic synchrotron radiation.

Equations (4)

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

I^D(f)=dxe2πixfT(xw)T*(x+w),
S2=dxdfe2πixf2πifT(xw)T*(x+w).
S2=e2Mπ0a12dwb1b1dxΔϕxwwcos[4πxwGλzod],
IL,R=exp[Oμ¯dz]ITC(Δξ1,2zodϕ¯x/G),

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