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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 7 — Aug. 1, 2013

Translation position determination in ptychographic coherent diffraction imaging

Fucai Zhang, Isaac Peterson, Joan Vila-Comamala, Ana Diaz, Felisa Berenguer, Richard Bean, Bo Chen, Andreas Menzel, Ian K. Robinson, and John M. Rodenburg  »View Author Affiliations

Optics Express, Vol. 21, Issue 11, pp. 13592-13606 (2013)

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Accurate knowledge of translation positions is essential in ptychography to achieve a good image quality and the diffraction limited resolution. We propose a method to retrieve and correct position errors during the image reconstruction iterations. Sub-pixel position accuracy after refinement is shown to be achievable within several tens of iterations. Simulation and experimental results for both optical and X-ray wavelengths are given. The method improves both the quality of the retrieved object image and relaxes the position accuracy requirement while acquiring the diffraction patterns.

© 2013 OSA

OCIS Codes
(100.5070) Image processing : Phase retrieval
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

Original Manuscript: February 25, 2013
Revised Manuscript: March 29, 2013
Manuscript Accepted: March 31, 2013
Published: May 30, 2013

Virtual Issues
Vol. 8, Iss. 7 Virtual Journal for Biomedical Optics

Fucai Zhang, Isaac Peterson, Joan Vila-Comamala, Ana Diaz, Felisa Berenguer, Richard Bean, Bo Chen, Andreas Menzel, Ian K. Robinson, and John M. Rodenburg, "Translation position determination in ptychographic coherent diffraction imaging," Opt. Express 21, 13592-13606 (2013)

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  1. H. M. L. Faulkner and J. M. Rodenburg, “Movable aperture lensless transmission microscope: a novel phase retrieval algorithm,” Phys. Rev. Lett.93, 023903 (2004)
  2. J. M. Rodenburg and H. M. L. Faulkner, “A phase retrieval algorithm for shifting illumination,” Appl. Phys. Lett.85(20), 4795–4797 (2004). [CrossRef]
  3. J. M. Rodenburg, “Ptychography and related diffractive imaging methods,” Adv. Imag. Elec. Phys.150, 87–184 (2008). [CrossRef]
  4. J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard X-ray lensless imaging of extended objects,” Phys. Rev. Lett.98(3), 034801 (2007). [CrossRef] [PubMed]
  5. P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, “High-resolution scanning X-ray diffraction microscopy,” Science321(5887), 379–382 (2008). [CrossRef] [PubMed]
  6. K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, “Quantitative biological imaging by ptychographic x-ray diffraction microscopy,” Proc. Natl. Acad. Sci. U.S.A.107(2), 529–534 (2010). [CrossRef] [PubMed]
  7. M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, “Ptychographic x-ray computed tomography at the nanoscale,” Nature467(7314), 436–439 (2010). [CrossRef] [PubMed]
  8. C. M. Kewish, P. Thibault, M. Dierolf, O. Bunk, A. Menzel, J. Vila-Comamala, K. Jefimovs, and F. Pfeiffer, “Ptychographic characterization of the wavefield in the focus of reflective hard x-ray optics,” Ultramicroscopy110(4), 325–329 (2010). [CrossRef] [PubMed]
  9. E. Lima, A. Diaz, M. Guizar-Sicairos, S. Gorelick, P. Pernot, T. Schleier, and A. Menzel, “Cryo-scanning x-ray diffraction microscopy of frozen-hydrated yeast,” J. Microsc.249(1), 1–7 (2013). [CrossRef]
  10. C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, “Atom-scale ptychographic electron diffractive imaging of boron nitride cones,” Phys. Rev. Lett.108(7), 073901 (2012). [CrossRef] [PubMed]
  11. F. Hüe, J. M. Rodenburg, A. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B82(12), 121415 (2010). [CrossRef]
  12. M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, “Ptychographic electron microscopy using high-angle dark-field scattering for sub-nanometre resolution imaging,” Nat Commun3, 730 (2012). [CrossRef] [PubMed]
  13. P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy109(4), 338–343 (2009). [CrossRef] [PubMed]
  14. A. M. Maiden and J. M. Rodenburg, “An improved ptychographical phase retrieval algorithm for diffractive imaging,” Ultramicroscopy109(10), 1256–1262 (2009). [CrossRef] [PubMed]
  15. M. Guizar-Sicairos and J. R. Fienup, “Phase retrieval with transverse translation diversity: a nonlinear optimization approach,” Opt. Express16(10), 7264–7278 (2008). [CrossRef] [PubMed]
  16. P. Thibault and M. Guizar-Sicairos, “Maximum-likelihood refinement for coherent diffractive imaging,” New J. Phys.14(6), 063004 (2012). [CrossRef]
  17. F. Hüe, J. M. Rodenburg, A. M. Maiden, and P. A. Midgley, “Extended ptychography in the transmission electron microscope: possibilities and limitations,” Ultramicroscopy111(8), 1117–1123 (2011). [CrossRef] [PubMed]
  18. A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser.241, 012004 (2010). [CrossRef]
  19. A. Shenfield and J. M. Rodenburg, “Evolutionary determination of experimental parameters for ptychographical imaging,” J. Appl. Phys.109(12), 124510 (2011). [CrossRef]
  20. A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy120, 64–72 (2012). [CrossRef] [PubMed]
  21. M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy126, 44–47 (2013). [CrossRef] [PubMed]
  22. M. Guizar-Sicairos, S. T. Thurman, and J. R. Fienup, “Efficient subpixel image registration algorithms,” Opt. Lett.33(2), 156–158 (2008). [CrossRef] [PubMed]
  23. M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys.12(3), 035017 (2010). [CrossRef]
  24. F. Zhang and J. M. Rodenburg, “Phase retrieval based on wave-front relay and modulation,” Phys. Rev. B82(12), 121104 (2010). [CrossRef]
  25. S. Gorelick, J. Vila-Comamala, V. A. Guzenko, R. Barrett, M. Salomé, and C. David, “High-efficiency Fresnel zone plates for hard X-rays by 100 keV e-beam lithography and electroplating,” J. Synchrotron Radiat.18(3), 442–446 (2011). [CrossRef] [PubMed]
  26. F. Zhang, G. Pedrini, and W. Osten, “Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation,” Phys. Rev. A75(4), 043805 (2007). [CrossRef]
  27. X. Huang, M. Wojcik, N. Burdet, I. Peterson, G. R. Morrison, D. J. Vine, D. Legnini, R. Harder, Y. S. Chu, and I. K. Robinson, “Quantitative X-ray wavefront measurements of Fresnel zone plate and K-B mirrors using phase retrieval,” Opt. Express20(21), 24038–24048 (2012). [CrossRef] [PubMed]
  28. P. Thibault and A. Menzel, “Reconstructing state mixtures from diffraction measurements,” Nature494(7435), 68–71 (2013). [CrossRef] [PubMed]

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Supplementary Material

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