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Optics Express

Optics Express

  • Editor: C. Martijin de Sterke
  • Vol. 15, Iss. 9 — Apr. 30, 2007
  • pp: 5641–5648

A numerical wave-optical approach for the simulation of analyzer-based x-ray imaging

A. Bravin, V. Mocella, P. Coan, A. Astolfo, and C. Ferrero  »View Author Affiliations

Optics Express, Vol. 15, Issue 9, pp. 5641-5648 (2007)

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An advanced wave-optical approach for simulating a monochromator-analyzer set-up in Bragg geometry with high accuracy is presented. The polychromaticity of the incident wave on the monochromator is accounted for by using a distribution of incoherent point sources along the surface of the crystal. The resulting diffracted amplitude is modified by the sample and can be well represented by a scalar representation of the optical field where the limitations of the usual ‘weak object’ approximation are removed. The subsequent diffraction mechanism on the analyzer is described by the convolution of the incoming wave with the Green-Riemann function of the analyzer. The free space propagation up to the detector position is well reproduced by a classical Fresnel-Kirchhoff integral. The preliminary results of this innovative approach show an excellent agreement with experimental data.

© 2007 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(110.7440) Imaging systems : X-ray imaging
(340.6720) X-ray optics : Synchrotron radiation
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

Original Manuscript: February 20, 2007
Revised Manuscript: March 26, 2007
Manuscript Accepted: April 1, 2007
Published: April 25, 2007

A. Bravin, V. Mocella, P. Coan, A. Astolfo, and C. Ferrero, "A numerical wave-optical approach for the simulation of analyzer-based x-ray imaging," Opt. Express 15, 5641-5648 (2007)

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  1. J. Keyriläinen, M. Fernández, S. Fiedler, A. Bravin, M. L. Karjalainen-Lindsberg, P. Virkkunen, E. M. Elo, M. Tenhunen, P. Suortti, and W. Thomlinson, "Visualisation of calcifications and thin collagen strands in human breast tumour specimens by the diffraction-enhanced imaging technique: a comparison with conventional mammography and histology," Eur. J. Radiol. 53 (2), 226 (2005). [CrossRef]
  2. F. Arfelli, V. Bonvicini, A. Bravin, G. Cantatore, E. Castelli, L. Dalla Palma, M. Di Michiel, M. Fabrizioli, R. Longo, R. -H. Menk, A. Olivo, S. Pani, D. Pontoni, P. Poropat, M. Prest, A. Rashevsky, M. Ratti, L. Rigon, G. Tromba, A. Vacchi, E. Vallazza, and F. Zanconati, "Mammography with synchrotron radiation: Phase-detection techniques," Radiology 215, 286 (2000).
  3. A. Bravin, "Exploiting the x-ray refraction contrast with an analyser: the state of the art," J. Phys. D: Appl. Phys. 36 (10A), A24 (2003). [CrossRef]
  4. A. Yoneyama, T. Takeda, Y. Tsuchiya, J. Wu, T. T. Lwin, K. Hyodo, and Y. Hirai, "High-energy phase-contrast X-ray imaging using a two-crystal X-ray interferometer," J. Synchrotron Radiat. 12, 534 (2005). [CrossRef] [PubMed]
  5. J. Keyriläinen, M. Fernández, and P. Suortti, "Refraction contrast X-ray imaging," Nucl. Instrum. Methods A 488, 419 (2002). [CrossRef]
  6. V. Bushuev, E. A. Beliaevskaya, and V. N. Ingal, "Wave optical description of X-ray phase contrast images of weakly absorbing non crystalline objects," Il Nuovo Cimento 19 D, 513 (1997).
  7. T. J. Davis, T. E. Gureyev, D. Gao, A. W. Stevenson, and S. W. Wilkins, "X-ray image contrast from a simple phase object," Phys. Rev. Lett. 74, 3173 (1995). [CrossRef] [PubMed]
  8. T. Gureyev, and S. W. Wilkins, "Regimes of X-ray phase contrast imaging with perfect crystals," Il Nuovo Cimento 19 D, 545 (1997). [CrossRef]
  9. Y. I. Nesterets, T. E. Gureyev, D. Paganin, K. M. Pavlov, and S. W. Wilkins, "Quantitative diffraction-enhanced X-ray imaging of weak objects," J. Phys. D: Appl. Phys. 37, 1262 (2004). [CrossRef]
  10. D. Paganin, T. E. Gureyev, K. M. Pavlov, R. A. Lewis, and M. Kitchen, "Phase retrieval using coherent imaging systems with linear transfer functions," Opt. Commun. 234, 87 (2004). [CrossRef]
  11. Y. I. Nesterets, T. E. Gureyev, K. M. Pavlov, D. Paganin, and S. W. Wilkins, "Combined analyser-based and propagation-based phase-contrast imaging of weak objects," Opt. Commun. 259, 19 (2006). [CrossRef]
  12. Y. Epelboin, V. Mocella, and A. Soyer, "Optical characteristics of synchrotron sources and their influence in the simulation of X-ray topographs," Philos. T. Roy. Soc. A 357, 2731 (1999). [CrossRef]
  13. V. Mocella, Y. Epelboin, and J. P. Guigay, "X-ray dynamical diffraction: the concept of a locally plane wave," Acta Cryst. A 56, 308 (2000). [CrossRef]
  14. Y. I. Nesterets, P. Coan, T. E. Gureyev, A. Bravin, P. Cloetens, and S. W. Wilkins, "On qualitative and quantitative analysis in analyser-based imaging," Acta Cryst. A,  62296 (2006). [CrossRef]
  15. Y. I. Nesterets, T. E. Gureyev, and S. W. Wilkins, "Polychromaticity in the combined propagation-based/analyzer-based phase-contrast imaging," J. Phys. D: Appl. Phys. 38, 4259 (2005). [CrossRef]
  16. C. A. M. Carvalho, and Y. Epelboin, "Simulation of X-ray traverse topographs and synchrotron Laue topographs: application of the reciprocity theorem," Acta Cryst. A 49, 467 (1993). [CrossRef]
  17. V. Mocella, Y. Epelboin, and J. P. Guigay, "X-ray dynamical diffraction: the concept of a locally plane wave," Acta Cryst. A 56, 308 (2000). [CrossRef]
  18. V. Mocella, J. P. Guigay, Y. Epelboin, J. Haertwig, J. Baruchel, and A. Mazuelas, "Influence of the transverse and longitudinal coherence in the dynamical theory of X-ray diffraction," J. Phys. D: Appl. Phys. 32, A88 (1999). [CrossRef]
  19. T. Uragami, "Pendellösung fringes of X-rays in Bragg case," J. Phys. Soc. Jpn 27, 147 (1969). [CrossRef]
  20. A. M. Afanas'ev, and V. G. Kohn, "Dynamical theory of X-ray diffraction in crystals with defects," Acta Cryst. A 27, 421 (1971). [CrossRef]
  21. S. Takagi, "A dynamical theory of diffraction for a distorted crystal," J. Phys. Soc. Jpn 26 (1969). [CrossRef]
  22. J. P. Guigay, "A simple view of the spherical wave in dynamical theory," Acta Cryst. A. 55, 561 (1999). [CrossRef]
  23. A. Autier, in Dynamical theory of X -ray diffraction, (Oxford Press, 2001) Vol. 11.
  24. M. Born and E. Wolf, in Principles of optics: electromagnetic theory of propagation, interference and diffraction of light, (Cambridge University Press, 1999). [PubMed]
  25. A. Autier and D. Simon, "Application de la théorie dynamique de S. Takagi au contraste d'un défaut plan en topographie par rayons X. I. Faute d'empilement," Acta Cryst. A 24, 517 (1968). [CrossRef]
  26. P. Coan, E. Pagot, S. Fiedler, P. Cloetens, J. Baruchel, and A. Bravin, "Phase-contrast X-ray imaging combining free space propagation and Bragg diffraction," J. Synchrotron Radiat. 12, 241 (2005). [CrossRef] [PubMed]
  27. P. Coan, A. Peterzol, S. Fiedler, C. Ponchut, J. C. Labiche, and A , Bravin, "Evaluation of imaging performance of a taper optics CCD `FReLoN' camera designed for medical imaging," J. Synchrotron Radiat. 13, 260 (2006). [CrossRef] [PubMed]

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