OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 28 — Dec. 31, 2012
  • pp: 29210–29216

Holographically aided iterative phase retrieval

S. Flewett, C. M. Günther, C. von Korff Schmising, B. Pfau, J. Mohanty, F. Büttner, M. Riemeier, M. Hantschmann, M. Kläui, and S. Eisebitt  »View Author Affiliations


Optics Express, Vol. 20, Issue 28, pp. 29210-29216 (2012)
http://dx.doi.org/10.1364/OE.20.029210


View Full Text Article

Enhanced HTML    Acrobat PDF (1721 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Fourier transform holography (FTH) is a noise-resistant imaging technique which allows for nanometer spatial resolution x-ray imaging, where the inclusion of a small reference scattering object provides the otherwise missing phase information. With FTH, one normally requires a considerable distance between the sample and the reference to ensure spatial separation of the reconstruction and its autocorrelation. We demonstrate however that this requirement can be omitted at the small cost of iteratively separating the reconstruction and autocorrelation. In doing so, the photon efficiency of FTH can be increased due to a smaller illumination area, and we show how the presence of the reference prevents the non-uniqueness problems often encountered with plane-wave iterative phase retrieval. The method was tested on a cobalt/platinum multilayer exhibiting out of plane magnetized domains, where the magnetic circular dichroism effect was used to image the magnetic domains at the cobalt L3-edge at 780eV.

© 2012 OSA

OCIS Codes
(100.5070) Image processing : Phase retrieval
(090.1995) Holography : Digital holography

ToC Category:
Image Processing

History
Original Manuscript: May 14, 2012
Revised Manuscript: July 30, 2012
Manuscript Accepted: July 31, 2012
Published: December 17, 2012

Citation
S. Flewett, C. M. Günther, C. von Korff Schmising, B. Pfau, J. Mohanty, F. Büttner, M. Riemeier, M. Hantschmann, M. Kläui, and S. Eisebitt, "Holographically aided iterative phase retrieval," Opt. Express 20, 29210-29216 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-28-29210


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. W. Stroke, “Lensless Fourier-Transform Method for Optical Holography,” Appl. Phys. Lett.6(10), 201–202 (1965). [CrossRef]
  2. 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,” Science256(5059), 1009–1012 (1992). [CrossRef] [PubMed]
  3. S. Eisebitt, J. Lüning, W. F. Schlotter, M. Lörgen, O. Hellwig, W. Eberhardt, and J. Stöhr, “Lensless imaging of magnetic nanostructures by X-ray spectro-holography,” Nature432(7019), 885–888 (2004). [CrossRef] [PubMed]
  4. B. Pfau, C. M. Gunther, S. Schaffert, R. Mitzner, B. Siemer, S. Roling, H. Zacharias, O. Kutz, I. Rudolph, R. Treusch, and S. Eisebitt, “Femtosecond pulse x-ray imaging with a large field of view,” New J. Phys.12(9), 095006 (2010). [CrossRef]
  5. C. M. Gunther, B. Pfau, R. Mitzner, B. Siemer, S. Roling, H. Zacharias, O. Kutz, I. Rudolph, D. Schondelmaier, R. Treusch, and S. Eisebitt, “Sequential femtosecond X-ray imaging,” Nat. Photonics5(2), 99–102 (2011). [CrossRef]
  6. E. Guehrs, A. M. Stadler, S. Flewett, S. Frommel, J. Geilhufe, B. Pfau, T. Rander, S. Schaffert, G. Buldt, and S. Eisebitt, “Soft x-ray tomoholography,” New J. Phys.14(1), 013022 (2012). [CrossRef]
  7. J. W. Miao, P. Charalambous, J. Kirz, and D. Sayre, “Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens,” Nature400(6742), 342–344 (1999). [CrossRef]
  8. W. F. Schlotter, R. Rick, K. Chen, A. Scherz, J. Stohr, J. Luning, S. Eisebitt, C. Gunther, W. Eberhardt, O. Hellwig, and I. McNulty, “Multiple reference Fourier transform holography with soft x rays,” Appl. Phys. Lett.89(16), 163112 (2006). [CrossRef]
  9. L. M. Stadler, C. Gutt, T. Autenrieth, O. Leupold, S. Rehbein, Y. Chushkin, and G. Grübel, “Hard x ray holographic diffraction imaging,” Phys. Rev. Lett.100(24), 245503 (2008). [CrossRef] [PubMed]
  10. J. M. Rodenburg, “Ptychography and related diffractive imaging methods,” Adv. Imaging Electron Phys.150(150), 87–184 (2008). [CrossRef]
  11. M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. Von Konig, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys.12(3), 035017 (2010). [CrossRef]
  12. G. J. Williams, H. M. Quiney, B. B. Dhal, C. Q. Tran, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, “Fresnel coherent diffractive imaging,” Phys. Rev. Lett.97(2), 025506 (2006). [CrossRef] [PubMed]
  13. G. J. Williams, E. Hanssen, A. G. Peele, M. A. Pfeifer, J. Clark, B. Abbey, G. Cadenazzi, M. D. de Jonge, S. Vogt, L. Tilley, and K. A. Nugent, “High-resolution X-ray imaging of Plasmodium falciparum-infected red blood cells,” Cytometry A73A(10), 949–957 (2008). [CrossRef] [PubMed]
  14. J. N. Clark, C. T. Putkunz, M. A. Pfeifer, A. G. Peele, G. J. Williams, B. Chen, K. A. Nugent, C. Hall, W. Fullagar, S. Kim, and I. McNulty, “Use of a complex constraint in coherent diffractive imaging,” Opt. Express18(3), 1981–1993 (2010). [CrossRef] [PubMed]
  15. S. Marchesini, S. Boutet, A. E. Sakdinawat, M. J. Bogan, S. Bajt, A. Barty, H. N. Chapman, M. Frank, S. P. Hau-Riege, A. Szoke, C. W. Cui, D. A. Shapiro, M. R. Howells, J. C. H. Spence, J. W. Shaevitz, J. Y. Lee, J. Hajdu, and M. M. Seibert, “Massively parallel X-ray holography,” Nat. Photonics2(9), 560–563 (2008). [CrossRef]
  16. D. P. DePonte, U. Weierstall, K. Schmidt, J. Warner, D. Starodub, J. C. H. Spence, and R. B. Doak, “Gas dynamic virtual nozzle for generation of microscopic droplet streams,” J. Phys. D Appl. Phys.41(19), 195505 (2008). [CrossRef]
  17. J. Steinbrener, J. Nelson, X. J. Huang, S. Marchesini, D. Shapiro, J. J. Turner, and C. Jacobsen, “Data preparation and evaluation techniques for x-ray diffraction microscopy,” Opt. Express18(18), 18598–18614 (2010). [CrossRef] [PubMed]
  18. L. W. Whitehead, G. J. Williams, H. M. Quiney, D. J. Vine, R. A. Dilanian, S. Flewett, K. A. Nugent, A. G. Peele, E. Balaur, and I. McNulty, “Diffractive Imaging Using Partially Coherent X Rays,” Phys. Rev. Lett.103(24), 243902 (2009). [CrossRef] [PubMed]
  19. S. Eisebitt, M. Lorgen, W. Eberhardt, J. Luning, J. Stohr, C. T. Rettner, O. Hellwig, E. E. Fullerton, and G. Denbeaux, “Polarization effects in coherent scattering from magnetic specimen: Implications for x-ray holography, lensless imaging, and correlation spectroscopy,” Phys. Rev. B68(10), 104419 (2003). [CrossRef]
  20. J. Grabis, A. Nefedov, and H. Zabel, “Diffractometer for soft x-ray resonant magnetic scattering,” Rev. Sci. Instrum.74(9), 4048–4051 (2003). [CrossRef]
  21. S. Flewett, S. Schaffert, J. Mohanty, E. Guehrs, J. Geilhufe, C. M. Gunther, B. Pfau, and S. Eisebitt, “Method for Single-Shot Coherent Diffractive Imaging of Magnetic Domains,” Phys. Rev. Lett.108(22), 223902 (2012). [CrossRef]
  22. B. Pfau, C. M. Günther, R. Könnecke, E. Guehrs, O. Hellwig, W. F. Schlotter, and S. Eisebitt, “Magnetic imaging at linearly polarized x-ray sources,” Opt. Express18(13), 13608–13615 (2010). [CrossRef] [PubMed]
  23. K. A. Nugent, “Partially Coherent Diffraction Patterns and Coherence Measurement,” J. Opt. Soc. Am. A8(10), 1574–1579 (1991). [CrossRef]
  24. S. Flewett, H. M. Quiney, C. Q. Tran, and K. A. Nugent, “Extracting coherent modes from partially coherent wavefields,” Opt. Lett.34(14), 2198–2200 (2009). [CrossRef] [PubMed]
  25. J. J. Turner, X. J. Huang, O. Krupin, K. A. Seu, D. Parks, S. Kevan, E. Lima, K. Kisslinger, I. McNulty, R. Gambino, S. Mangin, S. Roy, and P. Fischer, “X-ray Diffraction Microscopy of Magnetic Structures,” Phys. Rev. Lett.107(3), 033904 (2011). [CrossRef] [PubMed]
  26. J. R. Fienup, “Phase Retrieval Algorithms - a Comparison,” Appl. Opt.21(15), 2758–2769 (1982). [CrossRef] [PubMed]
  27. R. Neutze, R. Wouts, D. van der Spoel, E. Weckert, and J. Hajdu, “Potential for biomolecular imaging with femtosecond X-ray pulses,” Nature406(6797), 752–757 (2000). [CrossRef] [PubMed]
  28. D. L. Zhu, M. Guizar-Sicairos, B. Wu, A. Scherz, Y. Acremann, T. Tyliszczak, P. Fischer, N. Friedenberger, K. Ollefs, M. Farle, J. R. Fienup, and J. Stöhr, “High-Resolution X-ray Lensless Imaging by Differential Holographic Encoding,” Phys. Rev. Lett.105(4), 043901 (2010). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited