OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 15 — Jul. 16, 2012
  • pp: 16650–16661

Noise-robust coherent diffractive imaging with a single diffraction pattern

A. V. Martin, F. Wang, N. D. Loh, T. Ekeberg, F. R. N. C. Maia, M. Hantke, G. van der Schot, C. Y. Hampton, R. G. Sierra, A. Aquila, S. Bajt, M. Barthelmess, C. Bostedt, J. D. Bozek, N. Coppola, S. W. Epp, B. Erk, H. Fleckenstein, L. Foucar, M. Frank, H. Graafsma, L. Gumprecht, A. Hartmann, R. Hartmann, G. Hauser, H. Hirsemann, P. Holl, S. Kassemeyer, N. Kimmel, M. Liang, L. Lomb, S. Marchesini, K. Nass, E. Pedersoli, C. Reich, D. Rolles, B. Rudek, A. Rudenko, J. Schulz, R. L. Shoeman, H. Soltau, D. Starodub, J. Steinbrener, F. Stellato, L. Strüder, J. Ullrich, G. Weidenspointner, T. A. White, C. B. Wunderer, A. Barty, I. Schlichting, M. J. Bogan, and H. N. Chapman  »View Author Affiliations


Optics Express, Vol. 20, Issue 15, pp. 16650-16661 (2012)
http://dx.doi.org/10.1364/OE.20.016650


View Full Text Article

Enhanced HTML    Acrobat PDF (2002 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The resolution of single-shot coherent diffractive imaging at X-ray free-electron laser facilities is limited by the low signal-to-noise level of diffraction data at high scattering angles. The iterative reconstruction methods, which phase a continuous diffraction pattern to produce an image, must be able to extract information from these weak signals to obtain the best quality images. Here we show how to modify iterative reconstruction methods to improve tolerance to noise. The method is demonstrated with the hybrid input-output method on both simulated data and single-shot diffraction patterns taken at the Linac Coherent Light Source.

© 2012 OSA

OCIS Codes
(110.7440) Imaging systems : X-ray imaging
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

History
Original Manuscript: March 28, 2012
Revised Manuscript: June 14, 2012
Manuscript Accepted: June 19, 2012
Published: July 9, 2012

Citation
A. V. Martin, F. Wang, N. D. Loh, T. Ekeberg, F. R. N. C. Maia, M. Hantke, G. van der Schot, C. Y. Hampton, R. G. Sierra, A. Aquila, S. Bajt, M. Barthelmess, C. Bostedt, J. D. Bozek, N. Coppola, S. W. Epp, B. Erk, H. Fleckenstein, L. Foucar, M. Frank, H. Graafsma, L. Gumprecht, A. Hartmann, R. Hartmann, G. Hauser, H. Hirsemann, P. Holl, S. Kassemeyer, N. Kimmel, M. Liang, L. Lomb, S. Marchesini, K. Nass, E. Pedersoli, C. Reich, D. Rolles, B. Rudek, A. Rudenko, J. Schulz, R. L. Shoeman, H. Soltau, D. Starodub, J. Steinbrener, F. Stellato, L. Strüder, J. Ullrich, G. Weidenspointner, T. A. White, C. B. Wunderer, A. Barty, I. Schlichting, M. J. Bogan, and H. N. Chapman, "Noise-robust coherent diffractive imaging with a single diffraction pattern," Opt. Express 20, 16650-16661 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-15-16650


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. N. Chapman, A. Barty, S. Marchesini, A. Noy, S. P. Hau-Riege, C. Cui, M. R. Howells, R. Rosen, H. He, J. C. H. Spence, U. Weierstall, T. Beetz, C. Jacobsen, and D. Shapiro, “High-resolution ab initio three-dimensional X-ray diffraction microscopy,” J. Opt. Soc. Am. A23, 1179–1200 (2006). [CrossRef]
  2. H. N. Chapman, A. Barty, M. J. Bogan, S. Boutet, M. Frank, S. P. Hau-Riege, S. Marchesini, B. W. Woods, S. Bajt, W. H. Benner, R. A. London, E. Plönjes, M. Kuhlmann, R. Treusch, S. Düsterer, T. Tschentscher, J. R. Schneider, E. Spiller, T. Möller, C. Bostedt, M. Hoener, D. A. Shapiro, K. O. Hodgson, D. van der Spoel, F. Burmeister, M. Bergh, C. Caleman, G. Huldt, M. M. Seibert, F. R. N. C. Maia, R. W. Lee, A. Szöke, N. Timneanu, and J. Hajdu, “Femtosecond diffractive imaging with a soft-X-ray free-electron laser,” Nat. Phys.2, 839–843 (2006). [CrossRef]
  3. W. J. Huang, R. Sun, J. Tao, L. D. Menard, R. G. Nuzzo, and J. M. Zuo, “Coordination-dependent surface atomic contraction in nanocrystals revealed by coherent diffraction,” Nat. Mater.7, 308–313 (2008). [CrossRef] [PubMed]
  4. G. J. Williams, M. A. Pfeifer, I. A. Vartanyants, and I. K. Robinson, “Three-dimensional imaging of microstructure in Au nanocrystals,” Phys. Rev. Lett.90, 175501 (2003). [CrossRef] [PubMed]
  5. J. Miao, K. O. Hodgson, T. Ishikawa, C. A. Larabell, M. A. LeGros, and Y. Nishino, “Imaging whole Escherichia coli bacteria by using single-particle X-ray diffraction,” Proc. Natl. Acad. Sci. USA100, 110–112 (2003). [CrossRef] [PubMed]
  6. D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, and D. Sayre, “Biological imaging by soft X-ray diffraction microscopy,” Proc. Nat. Acad. Sci. USA102, 15343–15346 (2005). [CrossRef] [PubMed]
  7. M. M. Seibert, T. Ekeberg, F. R. N. C. Maia, M. Svenda, J. Andreasson, O. Jonsson, D. Odic, B. Iwan, A. Rocker, D. Westphal, M. Hantke, D. P. DePonte, A. Barty, J. Schulz, L. Gumprecht, N. Coppola, A. Aquila, M. Liang, T. A. White, A. Martin, C. Caleman, S. Stern, C. Abergel, V. Seltzer, J.-M. Claverie, C. Bostedt, J. D. Bozek, S. Boutet, A. A. Miahnahri, M. Messerschmidt, J. Krzywinski, G. Williams, K. O. Hodgson, M. J. Bogan, C. Y. Hampton, R. G. Sierra, D. Starodub, I. Andersson, S. Bajt, M. Barthelmess, J. C. H. Spence, P. Fromme, U. Weierstall, R. Kirian, M. Hunter, R. B. Doak, S. Marchesini, S. P. Hau-Riege, M. Frank, R. L. Shoeman, L. Lomb, S. W. Epp, R. Hartmann, D. Rolles, A. Rudenko, C. Schmidt, L. Foucar, N. Kimmel, P. Holl, B. Rudek, B. Erk, A. Homke, C. Reich, D. Pietschner, G. Weidenspointner, L. Struder, G. Hauser, H. Gorke, J. Ullrich, I. Schlichting, S. Herrmann, G. Schaller, F. Schopper, H. Soltau, K.-U. Kuhnel, R. Andritschke, C.-D. Schroter, F. Krasniqi, M. Bott, S. Schorb, D. Rupp, M. Adolph, T. Gorkhover, H. Hirsemann, G. Potdevin, H. Graafsma, B. Nilsson, H. N. Chapman, and J. Hajdu, “Single mimivirus particles intercepted and imaged with an X-ray laser,” Nature470, 79–81 (2011). [CrossRef]
  8. G. Williams, M. Pfeifer, I. Vartanyants, and I. Robinson, “Effectiveness of iterative algorithms in recovering phase in the presence of noise,” Acta Crystallogr. A63, 36–42 (2007). [CrossRef]
  9. N. Loh, S. Eisebitt, S. Flewett, and V. Elser, “Recovering magnetization distributions from their noisy diffraction data,” Phys. Rev. E82, 061128 (2010). [CrossRef]
  10. R. A. Dilanian, G. J. Williams, L. W. Whitehead, D. J. Vine, A. G. Peele, E. Balaur, I. McNulty, H. M. Quiney, and K. A. Nugent, “Coherent diffractive imaging: a new statistically regularized amplitude constraint,” New J. Phys.12, 093042 (2010). [CrossRef]
  11. H. M. L. Faulkner and J. M. Rodenburg, “Movable aperture lensless transmission microscopy: A novel phase retrieval algorithm,” Phys. Rev. Lett.93, 023903 (2004). [CrossRef] [PubMed]
  12. P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, “High-resolution scanning X-ray diffraction microscopy,” Science321, 379–382 (2008). [CrossRef] [PubMed]
  13. G. J. Williams, H. M. Quiney, B. B. Dahl, C. Q. Tran, A. G. Peele, K. A. Nugent, M. D. De Jonge, and D. Paterson, “Curved beam coherent diffractive imaging,” Thin Solid Films515, 5553–5556 (2007). [CrossRef]
  14. N. D. Loh, C. Y. Hampton, A. V. Martin, D. Starodub, R. G. Sierra, A. Barty, A. Aquila, J. Schulz, L. Lomb, J. Steinbrener, S. Shoeman, R L, Kassemeyer, C. Bostedt, J. Bozek, S. W. Epp, B. Erk, R. Hartmann, D. Rolles, A. Rudenko, B. Rudek, L. Foucar, N. Kimmel, G. Weidenspointner, G. Hauser, P. Holl, E. Pedersoli, M. Liang, M. Hunter, L. Gumprecht, N. Coppola, C. Wunderer, H. Graafsma, F. R. N. C. Maia, T. Ekeberg, M. Hantke, H. Fleckenstein, H. Hirsemann, K. Nass, T. A. White, H. J. Tobias, G. R. Farquar, W. H. Benner, S. Hau-Riege, C. Reich, A. Hartmann, H. Soltau, S. Marchesini, S. Bajt, M. Barthelmess, P. Bucksbaum, K. O. Hodgson, L. Strüder, J. Ullrich, M. Frank, I. Schlichting, H. N. Chapman, and M. J. Bogan, “Fractal morphology, imaging and mass spectrometry of single aerosol particles in flight,” Nature (2012). (submitted). [PubMed]
  15. J. R. Fienup, “Phase retrieval algorithms - a comparison,” Appl. Opt.21, 2758–2769 (1982). [CrossRef] [PubMed]
  16. V. Elser, “Phase retrieval by iterated projections,” J. Opt. Soc. Am. A20, 40–55 (2003). [CrossRef]
  17. D. R. Luke, “Relaxed averaged alternating reflections for diffraction imaging,” Inv. Probl.21, 37–50 (2005). [CrossRef]
  18. V. Elser, “Random projections and the optimization of an algorithm for phase retrieval,” J. Phys. A-Math Gen36, 2995–3007 (2003). [CrossRef]
  19. S. Marchesini, “A unified evaluation of iterative projection algorithms for phase retrieval,” Rev. Sci. Instrum.78, 011301 (2007). [CrossRef] [PubMed]
  20. A. V. Martin, J. Andreassonn, A. Aquila, S. Bajt, T. R. Barends, M. Barthelmess, A. Barty, W. H. Benner, C. Bostedt, J. D. Bozek, P. Bucksbaum, C. Caleman, N. Coppola, D. P. DePonte, T. Ekeberg, S. W. Epp, B. Erk, G. R. Farquar, H. Fleckenstein, L. Foucar, M. Frank, L. Gumprecht, C. Y. Hampton, M. Hantke, A. Hartmann, E. Hartmann, R. Hartmann, S. P. HauRiege, G. Hauser, P. Holl, A. Hoemke, O. Jonssonn, S. Kassemeyer, N. Kimmel, M. Kiskinovak, F. Krasniqi, J. Krzywinski, M. Liang, N.-T. D. Loh, L. Lomb, F. R. Maia, S. Marchesini, M. Messerschmidt, K. Nass, D. Odic, E. Pedersoli, C. Reich, D. Rolles, B. Rudek, A. Rudenko, C. Schmidt, J. Schulz, M. M. Seibert, R. L. Shoeman, R. G. Sierra, H. Soltau, D. Starodub, J. Steinbrener, F. Stellato, L. Struder, M. Svenda, H. Tobias, J. Ullrich, G. Weidenspointner, D. Westphal, T. A. White, G. Williams, J. Hajdu, I. Schlichting, M. J. Bogan, and H. N. Chapman, “Single particle imaging with soft X-rays at the Linac Coherent Light Source,” Proc. SPIE8078, 807809 (2011). [CrossRef]
  21. L. Strüder, S. Epp, D. Rolles, R. Hartmann, P. Holl, G. Lutz, H. Soltau, R. Eckart, C. Reich, K. Heinzinger, C. Thamm, A. Rudenko, F. Krasniqi, K.-U. Kühnel, C. Bauer, C.-D. Schröter, R. Moshammer, S. Techert, D. Miessner, M. Porro, O. Hälker, N. Meidinger, N. Kimmel, R. Andritschke, F. Schopper, G. Weidenspointner, A. Ziegler, D. Pietschner, S. Herrmann, U. Pietsch, A. Walenta, W. Leitenberger, C. Bostedt, T. Möller, D. Rupp, M. Adolph, H. Graafsma, H. Hirsemann, K. Gärtner, R. Richter, L. Foucar, R. L. Shoeman, I. Schlichting, and J. Ullrich, “Large-format, high-speed, X-ray pnccds combined with electron and ion imaging spectrometers in a multi purpose chamber for experiments at 4th generation light sources,” Nucl. Instrum. Meth. A614, 483–496 (2009). [CrossRef]

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 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited