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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 26 — Dec. 20, 2010
  • pp: 27036–27047

Packed domain Rayleigh-Sommerfeld wavefield propagation for large targets

Andreas Wuttig, Mario Kanka, Hans Jürgen Kreuzer, and Rainer Riesenberg  »View Author Affiliations


Optics Express, Vol. 18, Issue 26, pp. 27036-27047 (2010)
http://dx.doi.org/10.1364/OE.18.027036


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Abstract

For applications in the domain of digital holographic microscopy, we present a fast algorithm to propagate scalar wave fields from a small source area to an extended, parallel target area of coarser sampling pitch, using the first Rayleigh-Sommerfeld diffraction formula. Our algorithm can take full advantage of the fast Fourier transform by decomposing the convolution kernel of the propagation into several convolution kernel patches. Using partial overlapping of the patches together with a soft blending function, the Fourier spectrum of these patches can be reduced to a low number of significant components, which can be stored in a compact sparse array structure. This allows for rapid evaluation of the partial convolution results by skipping over negligible components through the Fourier domain pointwise multiplication and direct mapping of the remaining multiplication results into a Fourier domain representation of the coarsly sampled target patch. The algorithm has been verified experimentally at a numerical aperture of 0.62, not showing any significant resolution limitations.

© 2010 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(180.0180) Microscopy : Microscopy
(090.1995) Holography : Digital holography
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: October 6, 2010
Revised Manuscript: November 15, 2010
Manuscript Accepted: November 19, 2010
Published: December 8, 2010

Citation
Andreas Wuttig, Mario Kanka, Hans Jürgen Kreuzer, and Rainer Riesenberg, "Packed domain Rayleigh-Sommerfeld wavefield propagation for large targets," Opt. Express 18, 27036-27047 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-26-27036


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