Abstract

We demonstrate a technique that enables lensless holographic imaging with extended reference structures, using ultra-broadband radiation sources for illumination. We show that this ’two-pulse imaging’ approach works with one- and two-dimensional HERALDO reference structures, and demonstrate that the obtained spectrally resolved data can be used to improve the signal-to-noise ratio in the final image. Intensity stitching of multiple exposures is applied to increase the detected dynamic range, leading to an improved image reconstruction. Furthermore, we show that a combination of holography and iterative phase retrieval can be used to obtain high-quality images quickly and reliably, by using the HERALDO reconstruction as the initial support constraint in the iterative phase retrieval algorithm. A signal-to-noise improvement of two orders of magnitude is achieved compared to the basic HERALDO result.

© 2014 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Influence of detector noise in holographic imaging with limited photon flux

I. S. Wahyutama, G. K. Tadesse, A. Tünnermann, J. Limpert, and J. Rothhardt
Opt. Express 24(19) 22013-22027 (2016)

Holography with extended reference by autocorrelation linear differential operation

Manuel Guizar-Sicairos and James R. Fienup
Opt. Express 15(26) 17592-17612 (2007)

Impact of noise in holography with extended references in the low signal regime

W. Boutu, D. Gauthier, X. Ge, R. Cassin, M. Ducousso, A.I. Gonzalez, B. Iwan, J. Samaan, F. Wang, M. Kovačev, and H. Merdji
Opt. Express 24(6) 6318-6327 (2016)

References

  • View by:
  • |
  • |
  • |

  1. H. N. Chapman and K. A. Nugent, “Coherent lensless X-ray imaging,” Nat. Photon. 4, 833–839 (2010).
    [Crossref]
  2. W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, “Lensfree on-chip microscopy over a wide field-of-view using pixel super-resolution,” Opt. Express 18, 11181–11191 (2010).
    [Crossref] [PubMed]
  3. G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
    [Crossref] [PubMed]
  4. J. R. Fienup, “Reconstruction of an object from the modulus of its Fourier transform,” Opt. Lett. 3, 27–29 (1978).
    [Crossref] [PubMed]
  5. S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
    [Crossref]
  6. J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
    [Crossref]
  7. J. R. Fienup, “Lensless coherent imaging by phase retrieval with an illumination pattern constraint,” Opt. Express 14, 498–508 (2006).
    [Crossref] [PubMed]
  8. T. Latychevskaia, J.-N. Longchamp, and H.-W. Fink, “Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging,” Opt. Express 19, 19330–19339 (2011).
    [Crossref] [PubMed]
  9. L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).
    [Crossref]
  10. A. Greenbaum and A. Ozcan, “Maskless imaging of dense samples using pixel super-resolution based multi-height lensfree on-chip microscopy,” Opt. Express 20, 3129–3143 (2012).
    [Crossref] [PubMed]
  11. I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
    [Crossref] [PubMed]
  12. U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13, R85–R101 (2002).
    [Crossref]
  13. J. W. Goodman, Introduction To Fourier Optics (Roberts and Company Publishers, 2005).
  14. P. Thibault and A. Menzel, “Reconstructing state mixtures from diffraction measurements,” Nature 494, 68–71 (2013).
    [Crossref] [PubMed]
  15. B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
    [Crossref]
  16. G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Coherent diffractive imaging and partial coherence,” Phys. Rev. B 75, 104102 (2007).
    [Crossref]
  17. T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
    [Crossref] [PubMed]
  18. T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
    [Crossref] [PubMed]
  19. S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
    [Crossref]
  20. M. Guizar-Sicairos and J. R. Fienup, “Direct image reconstruction from a Fourier intensity pattern using HERALDO,” Opt. Lett. 33, 2668–2670 (2008).
    [Crossref] [PubMed]
  21. S. G. Podorov, K. M. Pavlov, and D. M. Paganin, “A non-iterative reconstruction method for direct and unambiguous coherent diffractive imaging,” Opt. Express 15, 9954–9962 (2007).
    [Crossref] [PubMed]
  22. M. Guizar-Sicairos and J. R. Fienup, “Holography with extended reference by autocorrelation linear differential operation,” Opt. Express 15, 17592–17612 (2007).
    [Crossref] [PubMed]
  23. H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
    [Crossref]
  24. G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
    [Crossref]
  25. M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
    [Crossref]
  26. D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
    [Crossref] [PubMed]
  27. D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
    [Crossref] [PubMed]
  28. T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
    [Crossref] [PubMed]
  29. E. D. Becker and T. C. Farrar, “Fourier transform spectroscopy,” Science 178, 361–368 (1972).
    [Crossref] [PubMed]
  30. A. Yablon, “Multi-wavelength optical fiber refractive index profiling by spatially resolved Fourier transform spectroscopy,” J. Lightwave Technol. 28, 360–364 (2010).
    [Crossref]
  31. D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39, 193–196 (2014).
    [Crossref] [PubMed]
  32. F. Capotondi, E. Pedersoli, M. Kiskinova, A. Martin, M. Barthelmess, and H. N. Chapman, “A scheme for lensless X-ray microscopy combining coherent diffraction imaging and differential corner holography,” Opt. Express 20, 25152–25160 (2012).
    [Crossref] [PubMed]
  33. B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
    [Crossref]
  34. Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
    [Crossref]
  35. T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
    [Crossref]

2014 (2)

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
[Crossref]

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39, 193–196 (2014).
[Crossref] [PubMed]

2013 (2)

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

P. Thibault and A. Menzel, “Reconstructing state mixtures from diffraction measurements,” Nature 494, 68–71 (2013).
[Crossref] [PubMed]

2012 (3)

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

A. Greenbaum and A. Ozcan, “Maskless imaging of dense samples using pixel super-resolution based multi-height lensfree on-chip microscopy,” Opt. Express 20, 3129–3143 (2012).
[Crossref] [PubMed]

F. Capotondi, E. Pedersoli, M. Kiskinova, A. Martin, M. Barthelmess, and H. N. Chapman, “A scheme for lensless X-ray microscopy combining coherent diffraction imaging and differential corner holography,” Opt. Express 20, 25152–25160 (2012).
[Crossref] [PubMed]

2011 (4)

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

T. Latychevskaia, J.-N. Longchamp, and H.-W. Fink, “Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging,” Opt. Express 19, 19330–19339 (2011).
[Crossref] [PubMed]

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

2010 (6)

H. N. Chapman and K. A. Nugent, “Coherent lensless X-ray imaging,” Nat. Photon. 4, 833–839 (2010).
[Crossref]

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

A. Yablon, “Multi-wavelength optical fiber refractive index profiling by spatially resolved Fourier transform spectroscopy,” J. Lightwave Technol. 28, 360–364 (2010).
[Crossref]

W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, “Lensfree on-chip microscopy over a wide field-of-view using pixel super-resolution,” Opt. Express 18, 11181–11191 (2010).
[Crossref] [PubMed]

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

2009 (2)

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

2008 (1)

2007 (3)

2006 (1)

2004 (1)

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

2003 (1)

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

2002 (1)

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13, R85–R101 (2002).
[Crossref]

2001 (2)

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).
[Crossref]

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

1999 (1)

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
[Crossref]

1992 (1)

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

1978 (1)

1972 (1)

E. D. Becker and T. C. Farrar, “Fourier transform spectroscopy,” Science 178, 361–368 (1972).
[Crossref] [PubMed]

1965 (1)

G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
[Crossref]

Abbey, B.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Acremann, Y.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Alisauskas, S.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Allen, L. J.

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).
[Crossref]

Anderson, E. H.

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

Andriukaitis, G.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Antebi, Y.

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

Arpin, P.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Bahabad, A.

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Balaur, E.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Balciunas, T.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Baltuska, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Barthelmess, M.

Becker, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Becker, E. D.

E. D. Becker and T. C. Farrar, “Fourier transform spectroscopy,” Science 178, 361–368 (1972).
[Crossref] [PubMed]

Beutier, G.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

Bishara, W.

Boutu, W.

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Brown, S.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Brumm, D.

G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
[Crossref]

Cadenazzi, G. A.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Capotondi, F.

Carré, B.

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Cavill, S. A.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

Chapman, H. N.

F. Capotondi, E. Pedersoli, M. Kiskinova, A. Martin, M. Barthelmess, and H. N. Chapman, “A scheme for lensless X-ray microscopy combining coherent diffraction imaging and differential corner holography,” Opt. Express 20, 25152–25160 (2012).
[Crossref] [PubMed]

H. N. Chapman and K. A. Nugent, “Coherent lensless X-ray imaging,” Nat. Photon. 4, 833–839 (2010).
[Crossref]

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

Charalambous, P.

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
[Crossref]

Chen, M.-C.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Christov, I. P.

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Cohen, O.

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Coskun, A. F.

Dhesi, S. S.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

Duckworth, T. A.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

Dupraz, M.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

Eikema, K. S. E.

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39, 193–196 (2014).
[Crossref] [PubMed]

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
[Crossref]

Elowitz, M. B.

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

Enders, B.

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

Farle, M.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Farrar, T. C.

E. D. Becker and T. C. Farrar, “Fourier transform spectroscopy,” Science 178, 361–368 (1972).
[Crossref] [PubMed]

Fienup, J.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Fienup, J. R.

Fink, H.-W.

Fischer, P.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Friedenberger, N.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Funkhouser, A.

G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
[Crossref]

Gaeta, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Gauthier, D.

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Ge, X.

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Gerrity, M.

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Giewekemeyer, K.

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

Goodman, J. W.

J. W. Goodman, Introduction To Fourier Optics (Roberts and Company Publishers, 2005).

Greenbaum, A.

Guizar-Sicairos, M.

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

M. Guizar-Sicairos and J. R. Fienup, “Direct image reconstruction from a Fourier intensity pattern using HERALDO,” Opt. Lett. 33, 2668–2670 (2008).
[Crossref] [PubMed]

M. Guizar-Sicairos and J. R. Fienup, “Holography with extended reference by autocorrelation linear differential operation,” Opt. Express 15, 17592–17612 (2007).
[Crossref] [PubMed]

Hau-Riege, S. P.

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

He, H.

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

Henderson, C. A.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Hernandez-Garcia, C.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Howells, M.

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

Howells, M. R.

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

Ishikawa, T.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Jacobsen, C.

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

Jacobsen, C. J.

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

Jaron-Becker, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Jüptner, W. P. O.

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13, R85–R101 (2002).
[Crossref]

Kapteyn, H. C.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Kern, D. P.

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

Kimura, H.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Kirz, J.

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
[Crossref]

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

Kiskinova, M.

Kurz, T.

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

Laan, G. v. d.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

Langridge, S.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

Latychevskaia, T.

Lee, S. A.

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

Longchamp, J.-N.

Marchesini, S.

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

Martin, A.

Matsubara, E.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Matsui, S.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

McNulty, I.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

Menzel, A.

P. Thibault and A. Menzel, “Reconstructing state mixtures from diffraction measurements,” Nature 494, 68–71 (2013).
[Crossref] [PubMed]

Merdji, H.

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Miao, J.

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
[Crossref]

Miller, S.

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

Moore, T.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

Mucke, O. D.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Murnane, M. M.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Nagasono, M.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Nishino, Y.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Noom, D. W. E.

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39, 193–196 (2014).
[Crossref] [PubMed]

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
[Crossref]

Noy, A.

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

Nozaki, K.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Nugent, K. A.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

H. N. Chapman and K. A. Nugent, “Coherent lensless X-ray imaging,” Nat. Photon. 4, 833–839 (2010).
[Crossref]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Coherent diffractive imaging and partial coherence,” Phys. Rev. B 75, 104102 (2007).
[Crossref]

Ogrin, F.

Ogrin, F. Y.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

Ohashi, H.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Okada, M.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Okaya, M.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Ollefs, K.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Oxley, M. P.

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).
[Crossref]

Ozcan, A.

Padmore, H. A.

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

Paganin, D. M.

Pavlov, K. M.

Pedersoli, E.

Peele, A. G.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Coherent diffractive imaging and partial coherence,” Phys. Rev. B 75, 104102 (2007).
[Crossref]

Plaja, L.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Podorov, S.

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

Podorov, S. G.

Popmintchev, D.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Popmintchev, T.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Pugzlys, A.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Putkunz, C. T.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Quiney, H. M.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Coherent diffractive imaging and partial coherence,” Phys. Rev. B 75, 104102 (2007).
[Crossref]

Restrick, R.

G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
[Crossref]

Salditt, T.

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

Sayre, D.

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
[Crossref]

Scherz, A.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Schnars, U.

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13, R85–R101 (2002).
[Crossref]

Schrauth, S. E.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Shim, B.

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

Sidorenko, P.

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Spence, J. C. H.

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

Stöhr, J.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Stroke, G. W.

G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
[Crossref]

Su, T.-W.

Tanaka, Y.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Tenner, V. T.

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
[Crossref]

Thibault, P.

P. Thibault and A. Menzel, “Reconstructing state mixtures from diffraction measurements,” Nature 494, 68–71 (2013).
[Crossref] [PubMed]

Tono, K.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Tyliszczak, T.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Uozaki, Y.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

van der Laan, G.

Vine, D. J.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Weierstall, U.

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

Whitehead, L. W.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

Whiteside, A.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

Williams, G. J.

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Coherent diffractive imaging and partial coherence,” Phys. Rev. B 75, 104102 (2007).
[Crossref]

Witte, S.

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
[Crossref]

D. W. E. Noom, K. S. E. Eikema, and S. Witte, “Lensless phase contrast microscopy based on multiwavelength Fresnel diffraction,” Opt. Lett. 39, 193–196 (2014).
[Crossref] [PubMed]

Wu, B.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Yabashi, M.

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Yablon, A.

Yakhou, F.

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

Yang, C.

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

Zheng, G.

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

Zhu, D.

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

Appl. Phys. Express (1)

Y. Nishino, Y. Tanaka, M. Okada, M. Okaya, Y. Uozaki, K. Nozaki, M. Yabashi, M. Nagasono, K. Tono, H. Kimura, H. Ohashi, S. Matsui, T. Ishikawa, and E. Matsubara, “Femtosecond snapshot holography with extended reference using extreme ultraviolet free-electron laser,” Appl. Phys. Express 3, 102701 (2010).
[Crossref]

Appl. Phys. Lett. (1)

H. He, U. Weierstall, J. C. H. Spence, M. Howells, H. A. Padmore, S. Marchesini, and H. N. Chapman, “Use of extended and prepared reference objects in experimental Fourier transform X-ray holography,” Appl. Phys. Lett. 85, 2454–2456 (2004).
[Crossref]

J. Lightwave Technol. (1)

Light: Sci. Appl. (1)

S. Witte, V. T. Tenner, D. W. E. Noom, and K. S. E. Eikema, “Lensless diffractive imaging with ultra-broadband table-top sources: from infrared to extreme-ultraviolet wavelengths,” Light: Sci. Appl. 3, e163 (2014).
[Crossref]

Meas. Sci. Technol. (1)

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13, R85–R101 (2002).
[Crossref]

Nat. Photon. (2)

B. Abbey, L. W. Whitehead, H. M. Quiney, D. J. Vine, G. A. Cadenazzi, C. A. Henderson, K. A. Nugent, E. Balaur, C. T. Putkunz, A. G. Peele, G. J. Williams, and I. McNulty, “Lensless imaging using broadband X-ray sources,” Nat. Photon. 5, 420–424 (2011).
[Crossref]

H. N. Chapman and K. A. Nugent, “Coherent lensless X-ray imaging,” Nat. Photon. 4, 833–839 (2010).
[Crossref]

Nature (2)

J. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature 400, 342–344 (1999).
[Crossref]

P. Thibault and A. Menzel, “Reconstructing state mixtures from diffraction measurements,” Nature 494, 68–71 (2013).
[Crossref] [PubMed]

New J. Phys. (2)

T. A. Duckworth, F. Y. Ogrin, G. Beutier, S. S. Dhesi, S. A. Cavill, S. Langridge, A. Whiteside, T. Moore, M. Dupraz, F. Yakhou, and G. v. d. Laan, “Holographic imaging of interlayer coupling in Co/Pt/NiFe,” New J. Phys. 15, 023045 (2013).
[Crossref]

B. Enders, K. Giewekemeyer, T. Kurz, S. Podorov, and T. Salditt, “Non-iterative coherent diffractive imaging using a phase-shifting reference frame,” New J. Phys. 11, 043021 (2009).
[Crossref]

Nucl. Instr. Meth. Phys. Res. A (1)

M. R. Howells, C. J. Jacobsen, S. Marchesini, S. Miller, J. C. H. Spence, and U. Weierstall, “Toward a practical X-ray Fourier holography at high resolution,” Nucl. Instr. Meth. Phys. Res. A 467, 864–867 (2001).
[Crossref]

Opt. Commun. (1)

L. J. Allen and M. P. Oxley, “Phase retrieval from series of images obtained by defocus variation,” Opt. Commun. 199, 65–75 (2001).
[Crossref]

Opt. Express (8)

A. Greenbaum and A. Ozcan, “Maskless imaging of dense samples using pixel super-resolution based multi-height lensfree on-chip microscopy,” Opt. Express 20, 3129–3143 (2012).
[Crossref] [PubMed]

J. R. Fienup, “Lensless coherent imaging by phase retrieval with an illumination pattern constraint,” Opt. Express 14, 498–508 (2006).
[Crossref] [PubMed]

T. Latychevskaia, J.-N. Longchamp, and H.-W. Fink, “Novel Fourier-domain constraint for fast phase retrieval in coherent diffraction imaging,” Opt. Express 19, 19330–19339 (2011).
[Crossref] [PubMed]

W. Bishara, T.-W. Su, A. F. Coskun, and A. Ozcan, “Lensfree on-chip microscopy over a wide field-of-view using pixel super-resolution,” Opt. Express 18, 11181–11191 (2010).
[Crossref] [PubMed]

T. A. Duckworth, F. Ogrin, S. S. Dhesi, S. Langridge, A. Whiteside, T. Moore, G. Beutier, and G. van der Laan, “Magnetic imaging by X-ray holography using extended references,” Opt. Express 19, 16223–16228 (2011).
[Crossref] [PubMed]

S. G. Podorov, K. M. Pavlov, and D. M. Paganin, “A non-iterative reconstruction method for direct and unambiguous coherent diffractive imaging,” Opt. Express 15, 9954–9962 (2007).
[Crossref] [PubMed]

M. Guizar-Sicairos and J. R. Fienup, “Holography with extended reference by autocorrelation linear differential operation,” Opt. Express 15, 17592–17612 (2007).
[Crossref] [PubMed]

F. Capotondi, E. Pedersoli, M. Kiskinova, A. Martin, M. Barthelmess, and H. N. Chapman, “A scheme for lensless X-ray microscopy combining coherent diffraction imaging and differential corner holography,” Opt. Express 20, 25152–25160 (2012).
[Crossref] [PubMed]

Opt. Lett. (3)

Phys. Lett. (1)

G. W. Stroke, R. Restrick, A. Funkhouser, and D. Brumm, “Resolution-retrieving compensation of source effects by correlative reconstruction in high-resolution holography,” Phys. Lett. 18, 274–275 (1965).
[Crossref]

Phys. Rev. B (2)

G. J. Williams, H. M. Quiney, A. G. Peele, and K. A. Nugent, “Coherent diffractive imaging and partial coherence,” Phys. Rev. B 75, 104102 (2007).
[Crossref]

S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, “X-ray image reconstruction from a diffraction pattern alone,” Phys. Rev. B 68, 140101(R) (2003).
[Crossref]

Phys. Rev. Lett. (2)

D. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. Fienup, and J. Stöhr, “High-resolution X-ray lensless imaging by differential holographic encoding,” Phys. Rev. Lett. 105, 043901 (2010).
[Crossref] [PubMed]

D. Gauthier, M. Guizar-Sicairos, X. Ge, W. Boutu, B. Carré, J. Fienup, and H. Merdji, “Single-shot femtosecond X-ray holography using extended references,” Phys. Rev. Lett. 105, 093901 (2010).
[Crossref] [PubMed]

Proc. Natl. Acad. Sci. USA (2)

G. Zheng, S. A. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, “The ePetri dish, an on-chip cell imaging platform based on subpixel perspective sweeping microscopy (SPSM),” Proc. Natl. Acad. Sci. USA 108, 16889–16894 (2011).
[Crossref] [PubMed]

T. Popmintchev, M.-C. Chen, A. Bahabad, M. Gerrity, P. Sidorenko, O. Cohen, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum,” Proc. Natl. Acad. Sci. USA 106, 10516–10521 (2009).
[Crossref] [PubMed]

Science (3)

T. Popmintchev, M.-C. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mucke, A. Pugzlys, A. Baltuska, B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, “Bright coherent ultrahigh harmonics in the keV X-ray regime from mid-infrared femtosecond lasers,” Science 336, 1287–1291 (2012).
[Crossref] [PubMed]

I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, “High-resolution imaging by Fourier transform X-ray holography,” Science 256, 1009–1012 (1992).
[Crossref] [PubMed]

E. D. Becker and T. C. Farrar, “Fourier transform spectroscopy,” Science 178, 361–368 (1972).
[Crossref] [PubMed]

Other (1)

J. W. Goodman, Introduction To Fourier Optics (Roberts and Company Publishers, 2005).

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 (7)

Fig. 1
Fig. 1 (a) Simulated sample of a star shape placed beside a triangular HERALDO reference. (b) Simulation of a monochromatic far-field diffraction pattern of (a) at a wavelength of 800 nm. (c) Simulation of a broadband (400 nm wide spectrum, centered at a wavelength of 600 nm) far-field diffraction pattern of Fig. 1(a). While the global structure is similar to Fig. 1(b), any radial structure is hardly visible due to the strong spectral smearing that is present with such a broadband source.
Fig. 2
Fig. 2 (a) Schematic principle of two-pulse imaging. Two coherent pulses with a tunable time delay T are used to illuminate an object. A series of diffraction patterns is then recorded as a function of T, using an image sensor. (b) If the spectrum of the light source contains only a single frequency, each camera pixel will detect a sinusoidal interference pattern as a function of T. (c) If there are two frequency components present in the source spectrum, this will lead to an additional beating in the interference pattern. (d) A complex illumination spectrum results in a complex interference pattern. From this recorded interference pattern, the spectrum that illuminated this pixel can be retrieved.
Fig. 3
Fig. 3 (a) Schematic drawing of two-pulse Fourier transform imaging setup: ultrashort pulses are spectrally broadened in a photonic crystal fiber (PCF) to produce a spatially coherent white light continuum. A scanning Michelson interferometer produces a coherent pulse pair with tunable time delay, which is used for two-pulse imaging. BS: beamsplitter. See text for further details. (b) Scanning electron microscope picture of the 1D HERALDO holography sample, created by focused ion beam etching of a gold surface on a glass substrate. Besides the transmitting star pattern, horizontal and vertical line shaped reference structures were present. (c) Visible-light microscope picture of the 2D HERALDO holography sample, produced by laser micro machining. The corners of the transmitting square reference structure had different curvature. (d) Spectrum of the light after the PCF, reconstructed from a two pulse Fourier transform scan. The wavelengths of different reconstructions shown in Fig. 4 are marked with coloured squares. The grey area indicates the spectral information used in Fig. 5.
Fig. 4
Fig. 4 Experimental results on spectrally resolved HERALDO combined with two-pulse imaging. (a) Ultra-broadband diffraction pattern from the sample shown in Fig. 3(b). (b) HERALDO reconstruction from this ultra-broadband diffraction pattern shown in Fig. 4(a). The vertical line (see Fig. 3(b)) is used as the reference object for reconstruction. (c) Quasi-monochromatic (λ = 559 nm, Δλ = 5 nm) diffraction pattern obtained from a two pulse Fourier transform scan. (d) HERALDO intensity reconstruction from Fig. 4(c) with a resolution of 6 μm. (e) Enlarged view of the reconstructed star pattern in Fig. 4(d). The sharp features in the center of the star are used to determine the resolution. (f) Three reconstructions at different wavelengths (λ =559, 695 and 885 nm, marked with coloured squares in Fig. 3(d) shown superimposed, using data obtained from a single two-pulse scan. The wavelength dependence of the diffraction pattern results in a different field-of-view for the different wavelengths. Figures 4(b), 4(d) and 4(e) are plotted with an unbiased linear gray scale.
Fig. 5
Fig. 5 Improving the signal to noise ratio by averaging images at multiple wavelengths. (a) Reconstructed intensity from a single monochromatic diffraction pattern obtained from a two-pulse scan. (b) Average of six different reconstructions at different wavelengths after proper scaling of the field-of-view. Intensities in both images are shown with the same unbiased linear gray scale. (c) Image intensity across the red line shown in Fig. 5(a) for both the monochromatic (black trace) and the spectrally averaged (red trace) image. A significant reduction in fluctuations around the average (i.e. higher signal-to-noise) is observed.
Fig. 6
Fig. 6 Comparison of the HERALDO reconstruction (left half of the image) with the result of an iterative phase retrieval algorithm (right half) that uses the HERALDO reconstruction as a support constraint. The image is reconstructed after averaging 150 runs of 200 iterations of a phase retrieval algorithm. Both images are shown on a logarithmic intensity scale (scale bar indicates optical density). The use of the iterative phase retrieval algorithm results in a dramatic increase in signal-to-noise ratio, which is improved by two orders of magnitude.
Fig. 7
Fig. 7 Influence of the dynamic range of the recorded diffraction pattern on HERALDO reconstructions, demonstrated on a 2D HERALDO test sample (the ’windmill’ sample from Fig. 3(c)). (a) Diffraction pattern captured with exposure time of 0.021 ms. The center of the diffraction pattern is not saturated, but a low SNR is obtained for high spatial frequencies. (b,c) Diffraction pattern captured with exposure times of 0.300 and 3.000 ms, respectively. The center of the diffraction pattern is over-exposed, but the high spatial frequencies are detected with higher SNR compared to Fig. 7(a). (d) High dynamic range combination of Figs. 7(a) and 7(b). (e) High dynamic range combination of Figs. 7(a)–7(c). (f,g,h) Intensity of 2D HERALDO reconstruction of Figs. 7(a), 7(d) and 7(e) respectively, shown with an unbiased linear gray scale. Using data from longer exposure times enhances resolution and smoothness of the image. (i) Horizontal cut through the center of the diffraction patterns Figs. 7(a)–7(c). The thick part of the various lines indicate which data has been used in assembling Fig. 7(e).

Equations (3)

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

1 { I } = 1 { | E | 2 } = e e = o o + r r + o r + r o
o r = o ( x , y ) r * ( x x , y y ) d x d y
d { rect ( x ) } d x = δ ( x + 1 2 ) δ ( x 1 2 )

Metrics