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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 9954–9962

Optics InfoBase > Optics Express > Volume 15 > Issue 16 > Page 9954

A non-iterative reconstruction method for direct and unambiguous coherent diffractive imaging

S. G. Podorov, K. M. Pavlov, and D. M. Paganin  »View Author Affiliations


Optics Express, Vol. 15, Issue 16, pp. 9954-9962 (2007)
http://dx.doi.org/10.1364/OE.15.009954


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Abstract

We develop a deterministic algorithm for coherent diffractive imaging (CDI) that employs a modified Fourier transform of a Fraunhofer diffraction pattern to quantitatively reconstruct the complex scalar wavefield at the exit surface of a sample of interest. The sample is placed in a uniformly-illuminated rectangular hole with dimensions at least two times larger than the sample. For this particular scenario, and in the far-field diffraction case, our non-iterative reconstruction algorithm is rapid, exact and gives a unique analytical solution to the inverse problem. The efficacy and stability of the algorithm, which may achieve resolutions in the nanoscale range, is demonstrated using simulated X-ray data.

© 2007 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(340.0340) X-ray optics : X-ray optics
(340.7470) X-ray optics : X-ray mirrors

ToC Category:
Image Processing

History
Original Manuscript: May 4, 2007
Revised Manuscript: July 3, 2007
Manuscript Accepted: July 23, 2007
Published: July 24, 2007

Citation
S. G. Podorov, K. M. Pavlov, and D. M. Paganin, "A non-iterative reconstruction method for direct and unambiguous coherent diffractive imaging," Opt. Express 15, 9954-9962 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-16-9954


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