OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 2 — Feb. 1, 2007
  • pp: 536–547

X-ray noninterferometric phase imaging: a unified picture

Keith A. Nugent  »View Author Affiliations


JOSA A, Vol. 24, Issue 2, pp. 536-547 (2007)
http://dx.doi.org/10.1364/JOSAA.24.000536


View Full Text Article

Enhanced HTML    Acrobat PDF (642 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A unified theory of noninterferometric phase recovery based on the so-called ambiguity function is introduced. The theory is used to analyze previously published techniques and unify them with the methods of phase-space tomography applicable to partially coherent data. The theory is then used to propose some new approaches to noninterferometric phase recovery.

© 2007 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(110.2990) Imaging systems : Image formation theory
(340.6720) X-ray optics : Synchrotron radiation
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

History
Original Manuscript: July 10, 2006
Manuscript Accepted: August 28, 2006

Citation
Keith A. Nugent, "X-ray noninterferometric phase imaging: a unified picture," J. Opt. Soc. Am. A 24, 536-547 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-2-536


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. M. Beckers, "Adaptive optics for astronomy--principles, performance, and applications," Annu. Rev. Astron. Astrophys. 31, 13-62 (1993). [CrossRef]
  2. F. Roddier, "Curvature sensing and compensation--a new concept in adaptive optics," Appl. Opt. 27, 1223-1225 (1988). [CrossRef] [PubMed]
  3. M. R. Teague, "Deterministic phase retrieval: a Green's function solution," J. Opt. Soc. Am. 73, 1434-1441 (1983). [CrossRef]
  4. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and 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]
  5. P. Cloetens, W. Ludwig, J. Barucher, D. Van Dyck, J. Van Landuyr, J. P. Guigay, and M. Schlenker, "Holotomography: quantitative phase tomography with micrometer resolution using hard synchrotron radiation x rays," Appl. Phys. Lett. 75, 2912-2914 (1999). [CrossRef]
  6. S. W. Wilkins, T. E. Gureyev, D. Gao, A. Pogany, and A. W. Stevenson, "Phase-contrast imaging using polychromatic hard x-rays," Nature 384, 335-338 (1996). [CrossRef]
  7. B. E. Allman, P. J. McMahon, K. A. Nugent, D. Paganin, D. L. Jacobson, M. Arif, and S. A. Werner, "Imaging--phase radiography with neutrons," Nature 408, 158-159 (2000). [CrossRef] [PubMed]
  8. M. J. Bastiaans, "Application of the Wigner function to partially coherent light," J. Opt. Soc. Am. A 3, 1227-1238 (1986). [CrossRef]
  9. C. Q. Tran, A. G. Peele, A. Roberts, K. A. Nugent, D. Faterson, and I. Mc Nulty, "X-ray imaging: a generalized approach using phase-space tomography," J. Opt. Soc. Am. A 22, 1691-1700 (2005). [CrossRef]
  10. J. P. Guigay, "The ambiguity function in diffraction and isoplanatic imaging by partially coherent beams," Opt. Commun. 26, 136-138 (1978). [CrossRef]
  11. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular-momentum to absorptive particles from a laser-beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995). [CrossRef] [PubMed]
  12. T. E. Gureyev, A. Roberts, and K. A. Nugent, "Partially coherent fields, the transport-of-intensity equation, and phase uniqueness," J. Opt. Soc. Am. A 12, 1942-1946 (1995). [CrossRef]
  13. A. G. Peele, P. J. McMahon, D. Paterson, C. Q. Tran, A. P. Mancuso, K. A. Nugent, J. P. Hayes, E. Harvey, B. Lai, and I. McNulty, "Observation of an x-ray vortex," Opt. Lett. 27, 1752-1754 (2002). [CrossRef]
  14. K. A. Nugent, D. Paganin, and T. E. Gureyev, "A phase odyssey," Phys. Today 54, 27-32 (2001). [CrossRef]
  15. L. J. Allen, H. M. L. Faulkner, M. P. Oxley, and D. Paganin, "Phase retrieval and aberration correction in the presence of vortices in high-resolution transmission electron microscopy," Ultramicroscopy 88, 85-97 (2001). [CrossRef] [PubMed]
  16. J. P. Guigay, "Fourier-transform analysis of Fresnel diffraction patterns and in-line holograms," Optik (Jena) 49, 121-125 (1977).
  17. S. Zabler, P. Cloetens, J.-P. Guigay, J. Baruchel, and M. Schlenker, "Optimization of phase contrast imaging using hard x-ray," Rev. Sci. Instrum. 76, 073705 (2005). [CrossRef]
  18. A. Pogany, D. Gao, and S. W. Wilkins, "Contrast and resolution in imaging with a microfocus x-ray source," Rev. Sci. Instrum. 68, 2774-2782 (1997). [CrossRef]
  19. L. D. Turner, B. B. Dhal, J. P. Hayes, A. P. Mancuso, K. A. Nugent, D. Paterson, R. E. Scholten, C. Q. Tran, and A. G. Peele, "X-ray phase imaging: demonstration of extended conditions with homogeneous objects," Opt. Express 12, 2960-2965 (2004). [CrossRef] [PubMed]
  20. K. A. Nugent and D. Paganin, "Matter wave phase measurement: a noninterferometric approach," Phys. Rev. A 61, 063614 (2000). [CrossRef]
  21. S. Bajt, A. Barty, K. A. Nugent, M. McCartney, M. Wall, and D. Paganin, "Quantitative phase-sensitive imaging in a transmission electron microscope," Ultramicroscopy 83, 67-73 (2000). [CrossRef] [PubMed]
  22. A. Barty, K. A. Nugent, A. Roberts, and D. Paganin, "Quantitative phase microscopy," Opt. Lett. 23, 817-819 (1998). [CrossRef]
  23. T. E. Gureyev, S. Mayo, S. W. Wilkins, D. Paganin, and A. W. Stevenson, "Quantitative in-line phase-contrast imaging with multienergy x rays," Phys. Rev. Lett. 86, 5827-5830 (2001). [CrossRef] [PubMed]
  24. D. Paganin, S. C. Mayo, T. E. Gureyev, P. R. Miller, and S. W. Wilkins, "Simultaneous phase and amplitude extraction from a single defocused image of a homogeneous object," J. Microsc. 206, 33-40 (2002). [CrossRef] [PubMed]
  25. X. Z. Wu, H. Liu, and A. M. Yan, "X-ray phase-attenuation duality and phase retrieval," Opt. Lett. 30, 379-381 (2005). [CrossRef] [PubMed]
  26. K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard x-rays," Phys. Rev. Lett. 77, 2961-2964 (1996). [CrossRef] [PubMed]
  27. W. Coene, G. Janssen, M. O. de Beek, and D. van Dyck, "Phase retrieval through focus variation for ultra-resolution in field-emission transmission electron-microscopy," Phys. Rev. Lett. 69, 3743-3746 (1992). [CrossRef] [PubMed]
  28. P. Cloetens, R. Barrett., J. Baruchel, J. P. Guigay, and M. Schlenker, "Phase objects in synchrotron radiation hard x-ray imaging," J. Phys. D 29, 133-146 (1996). [CrossRef]
  29. R. W. Gerchberg and W. O. Saxton, "Practical algorithm for determination of phase from image and diffraction plane pictures," Optik (Jena) 35, 237-246 (1972).
  30. J. R. Fienup, "Phase retrieval algorithms--a comparison," Appl. Opt. 21, 2758-2769 (1982). [CrossRef] [PubMed]
  31. R. H. T. Bates, "Fourier phase problems are uniquely solvable in more than one dimension. 1. Underlying theory," Optik (Jena) 61, 247-262 (1982).
  32. K. A. Nugent, A. G. Peele, H. N. Chapman, and H. M. Quiney, "Diffraction with wavefront curvature: a path to unique phase recovery," Acta Crystallogr., Sect. A: Found. Crystallogr. 61, 373-381 (2005). [CrossRef]
  33. 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," Nature 400, 324-344 (1999). [CrossRef]
  34. I. K. Robinson, I. A. Vartanyants, G. J. Williams, M. A. Pfeifer, and J. A. Pitney, "Reconstruction of the shapes of gold nanocrystals using coherent x-ray diffraction," Phys. Rev. Lett. 87, 195505 (2001). [CrossRef] [PubMed]
  35. S. Marchesini, H. He, H. N. Chapman, S. P. Hau-Riege, A. Noy, M. R. Howells, U. Weierstall, and J. C. H. Spence, "X-ray image reconstruction from a diffraction pattern alone," Phys. Rev. B 68, 140101 (2003). [CrossRef]
  36. R. Neutze, R. Wouts, D. Van Der Spoel, E. Weckert, and J. Hajdu, "Potential for biomolecular imaging with femtosecond x-ray pulses," Nature 406, 752-757 (2000). [CrossRef] [PubMed]
  37. K. A. Nugent, A. G. Peele, H. N. Chapman, and A. P. Mancuso, "Unique phase recovery for nonperiodic objects," Phys. Rev. Lett. 91, 203902 (2003). [CrossRef] [PubMed]
  38. X. H. Xiao and Q. Shen, "Wave propagation and phase retrieval in Fresnel diffraction by a distorted-object approach," Phys. Rev. B 72, 033103 (2005). [CrossRef]
  39. T. A. Pitts and J. F. Greenleaf, "Fresnel transform phase retrieval from magnitude," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 50, 1035-1045 (2003). [CrossRef] [PubMed]
  40. H. M. Quiney, K. A. Nugent, and A. G. Peele, "Iterative image reconstruction algorithms using wave-front intensity and phase variation," Opt. Lett. 30, 1638-1640 (2005). [CrossRef] [PubMed]
  41. H. M. Quiney, A. G. Peele, Z. Cai, D. Paterson, and K. A. Nugent, "Diffractive imaging of highly focused x-ray fields," Nat. Phys. 2, 101-104 (2006). [CrossRef]
  42. G. J. Williams, H. M. Quiney, B. B. Dhal, K. A. Nugent, A. G. Peele, D. Paterson, and M. D. de Jonge, "Fresnel coherent diffractive imaging," Phys. Rev. Lett. 97, 025506 (2006). [CrossRef] [PubMed]
  43. W. Hoppe, "Trace structure-analysis, ptychography, phase tomography," Ultramicroscopy 10, 187-198 (1982). [CrossRef]
  44. P. D. Nellist and J. M. Rodenberg, "Electron ptychography. I. Experimental demonstration beyond the conventional resolution limits," Acta Crystallogr., Sect. A: Found. Crystallogr. 54, 49-60 (1998). [CrossRef]
  45. H. M. L. Faulkner and J. M. Rodenberg, "Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm," Phys. Rev. Lett. 93, 023903 (2004). [CrossRef] [PubMed]
  46. J. M. Rodenberg and H. M. L. Faulkner, "A phase retrieval algorithm for shifting illumination," Appl. Phys. Lett. 85, 4795-4797 (2004). [CrossRef]
  47. H. M. L. Faulkner and J. M. Rodenberg, "Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy," Ultramicroscopy 103, 153-164 (2005). [CrossRef]
  48. W. E. McBride, N. L. O"Leary, K. A. Nugent, and L. J. Allen, "Astigmatic electron diffraction imaging: a novel mode for structure determination," Acta Crystallogr., Sect. A: Found. Crystallogr. 61, 321-324 (2005). [CrossRef]
  49. K. A. Nugent, "Wave field determination using 3-dimensional intensity information," Phys. Rev. Lett. 68, 2261-2264 (1992). [CrossRef] [PubMed]
  50. M. G. Raymer, M. Beck, and D. F. McAlister, "Complex wave-field reconstruction using phase-space tomography," Phys. Rev. Lett. 72, 1137-1140 (1994). [CrossRef] [PubMed]
  51. D. M. Marks, R. A. Stack, and D. J. Brady, "Astigmatic coherence sensor for digital imaging," Opt. Lett. 25, 1726-1728 (2000). [CrossRef]
  52. C. Q. Tran, A. G. Peele, A. Roberts, K. A. Nugent, D. Paterson, and I. McNulty, "Synchrotron beam coherence: a spatially resolved measurement," Opt. Lett. 30, 204-206 (2005). [CrossRef] [PubMed]
  53. C. Q. Tran, A. P. Mancuso, B. B. Dhal, K. A. Nugent, A. G. Peele, Z. Cai, and D. Paterson, "Phase-space reconstruction of focused x-ray fields," J. Opt. Soc. Am. A 23, 1779-1786 (2006). [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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited