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Optics Express

Optics Express

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

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)

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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

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

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)

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