OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2622–2634

High-pass-filtered diffraction microtomography by coherent hard x rays for cell imaging: theoretical and numerical studies of the imaging and reconstruction principles

Tetsuya Yuasa, Hiroshi Sugiyama, Zhong Zhong, Anton Maksimenko, F. Avraham Dilmanian, Takao Akatsuka, and Masami Ando  »View Author Affiliations

JOSA A, Vol. 22, Issue 12, pp. 2622-2634 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (450 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



This paper presents theoretical and numerical studies of diffraction tomography using hard x rays, from the viewpoint of imaging and reconstruction methods for cell imaging. The proposed system employs a single-perfect-crystal analyzer in symmetric Laue-case transmission geometry to efficiently detect the higher spatial frequency components of an object’s refractive-index distribution, and to effectively suppress interference between the unperturbated wave field and the wave field diffracted by the object. This system features acquisition of a single projection by a single exposure using a simple geometry and aggressive use of diffracted x rays. We present the physical description of the imaging method using the Fourier diffraction theorem derived from the Born approximation. First, we demonstrate that the reconstruction leads to the phase-retrieval problem. We then describe a reconstruction algorithm based on the classical Gerchberg–Saxton–Fienup algorithm. Finally, we show the efficacy of this system by computer simulation. Our simulation demonstrates that the imaging system delineates microstructure 3.5 μ m in diameter in a phase object 400 μ m in diameter.

© 2005 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography
(110.7440) Imaging systems : X-ray imaging
(340.6720) X-ray optics : Synchrotron radiation
(340.7440) X-ray optics : X-ray imaging

ToC Category:
Image Processing

Original Manuscript: April 8, 2005
Revised Manuscript: May 16, 2005
Manuscript Accepted: May 18, 2005
Published: December 1, 2005

Virtual Issues
Vol. 1, Iss. 1 Virtual Journal for Biomedical Optics

Tetsuya Yuasa, Hiroshi Sugiyama, Zhong Zhong, Anton Maksimenko, F. Avraham Dilmanian, Takao Akatsuka, and Masami Ando, "High-pass-filtered diffraction microtomography by coherent hard x rays for cell imaging: theoretical and numerical studies of the imaging and reconstruction principles," J. Opt. Soc. Am. A 22, 2622-2634 (2005)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. Y. Tsien, “Imaging imaging’s future,” Nat. Rev. Mol. Cell Biol. 4, SS16–21 (2004).
  2. R. E. Jacobs, C. Papan, S. Ruffines, J. M. Tyszka, S. E. Fraser, “MRI: volumetric imaging for vital imaging and atlas construction,” Nat. Rev. Mol. Cell Biol. 4, SS10–16 (2004).
  3. U. Bonse, M. Hart, “An x-ray interferometer,” Appl. Phys. Lett. 6, 155–156 (1965). [CrossRef]
  4. M. Ando, S. Hosoya, “An attempt at x-ray phase-contrast microscopy,” in Proceedings 6th International Conference of X-ray Optics and Microanalysis, G. Shinoda, K. Kohra, and T. Ichinokawa, eds. (University of Tokyo Press, 1972), pp. 63–68.
  5. T. J. Davis, T. E. Gureyev, D. Gao, A. W. Stevenson, S. W. Wilkins, “X-ray image contrast from a simple phase object,” Phys. Rev. Lett. 74, 3173–3176 (1995). [CrossRef] [PubMed]
  6. P. Cloetens, R. Barret, J. Baruchel, J.-P. Guigay, M. Schlenker, “Phase objects in synchrotron radiation hard x-ray imaging,” J. Phys. D 29, 133–146 (1996). [CrossRef]
  7. C. Raven, A. Snigirev, I. Snigireva, P. Spanne, A. Souvorov, V. Kohn, “Phase-contrast microtomography with coherent high-energy synchrotron x-rays,” Appl. Phys. Lett. 69, 1826–1828 (1996). [CrossRef]
  8. A. Momose, T. Takeda, Y. Itai, K. Hirano, “Phase-contrast x-ray computed tomography for observing biological soft tissues,” Nat. Med. 2, 473–475 (1996). [CrossRef] [PubMed]
  9. F. A. Dilmanian, Z. Zhong, B. Ren, X. Y. Wu, L. D. Chapman, I. Orion, W. C. Tomlinson, “Computed tomography of x-ray index of refraction using the diffraction enhanced imaging method,” Phys. Med. Biol. 45, 933–946 (2000). [CrossRef] [PubMed]
  10. M. N. Wernick, O. Wirjadi, D. Chapman, Z. Zhong, N. P. Galatsanos, Y. Yang, J. G. Brankov, O. Oltulu, M. A. Anastasio, C. Muehleman, “Multiple- image radiography,” Phys. Med. Biol. 48, 3875–3895 (2003). [CrossRef]
  11. T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, S. W. Wilkins, “Phase-contrast imaging of weakly absorbing materials using hard x-rays,” Nature 373, 595–598 (1995). [CrossRef]
  12. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, I. Schelokov, “On the possibilities of x-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995). [CrossRef]
  13. V. N. Ingal, E. A. Beliaevskaya, “X-ray plane-wave topography observation of the phase-contrast from noncrystalline object,” J. Phys. D 28, 2314–2317 (1995). [CrossRef]
  14. V. A. Somenkov, A. K. Tkalich, S. S. Shilstein, “Refraction contrast in X-ray introscopy,” Sov. Phys. Tech. Phys. 61, 197–201 (1991).
  15. V. V. Protopopov, “On the possibility of X-ray refractive radiography using multilayer mirrors with resonant absorption,” Opt. Commun. 174, 13–18 (2000). [CrossRef]
  16. V. V. Protopopov, J. Sobota, “X-ray dark-field refraction-contrast imaging of micro-objects,” Opt. Commun. 213, 267–279 (2002). [CrossRef]
  17. M. Ando, A. Maksimenko, H. Sugiyama, W. Pattanasiriwisawa, K. Hyodo, C. Uyama, “Simple x-ray dark- and bright-field imaging using achromatic Laue optics,” Jpn. J. Appl. Phys., Part 1 41, L1016–L1018 (2002). [CrossRef]
  18. E. Wolf, “Three dimensional structure determination of semi transparent objects from holographic data,” Opt. Commun. 1, 153–156 (1969). [CrossRef]
  19. R. K. Mueller, M. Kaveh, R. D. Inverson, “A new approach to acoustic tomography using diffraction techniques,” in Acoustical Imaging, A. F. Metherell, ed. (Plenum, 1980). [CrossRef]
  20. A. J. Devaney, “A filtered backpropagation algorithm for diffraction tomography,” Ultrason. Imaging 4, 336–350 (1982). [CrossRef] [PubMed]
  21. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [CrossRef] [PubMed]
  22. R. W. Gerchberg, “Super-resolution through error energy reduction,” Opt. Acta 21, 709–720 (1974). [CrossRef]
  23. J. Cheng, S. Han, “Diffraction tomography reconstruction algorithms for quantitative imaging of phase objects,” J. Opt. Soc. Am. A 18, 1460–1464 (2001). [CrossRef]
  24. A. C. Kak, M. Slaney, Principles of Computerized Tomographic Imaging (Society for Industrial and Applied Mathematics, 2001), Vol. 33. [CrossRef]
  25. A. Authier, Dynamical Theory of X-ray Diffraction (Oxford U. Press, 2001).
  26. A. Makasimenko, H. Sugiyama, K. Hirano, T. Yuasa, M. Ando, “Dark-field imaging using an asymmetric Bragg case transmission analyzer,” Meas. Sci. Technol. 15, 1251–1254 (2004). [CrossRef]
  27. A. Momose, I. Koyama, Y. Hamaishi, H. Yoshikawa, T. Takeda, J. Wu, Y. Itai, K. Takai, K. Uesugi, Y. Suzuki, “Phase-contrast microtomography using an x-ray interferometer having a 40-μm analyzer,” J. Phys. IV 104, 599–602 (2003).
  28. M. M. Bronstein, A. M. Bronstein, M. Zibulevsky, H. Azhari, “Reconstruction in Diffraction Ultrasound Tomography Using Nonuniform FFT,” IEEE Trans. Med. Imaging 21, 1395–1401 (2002). [CrossRef]
  29. R. D. Spal, “Submicrometer resolution hard x-ray holography with asymmetric Bragg diffraction microscopy,” Phys. Rev. Lett. 86, 3044–3047 (2001). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited