Fast computation algorithm for the Rayleigh–Sommerfeld diffraction formula using a type of scaled convolution
Applied Optics, Vol. 48, Issue 22, pp. 4310-4319 (2009)
http://dx.doi.org/10.1364/AO.48.004310
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Abstract
We describe a fast computational algorithm able to evaluate the Rayleigh–Sommerfeld diffraction formula, based on a special formulation of the convolution theorem and the fast Fourier transform. What is new in our approach compared to other algorithms is the use of a more general type of convolution with a scale parameter, which allows for independent sampling intervals in the input and output computation windows. Comparison between the calculations made using our algorithm and direct numeric integration show a very good agreement, while the computation speed is increased by orders of magnitude.
© 2009 Optical Society of America
OCIS Codes
(000.3860) General : Mathematical methods in physics
(260.1960) Physical optics : Diffraction theory
(070.2025) Fourier optics and signal processing : Discrete optical signal processing
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
ToC Category:
Fourier Optics and Signal Processing
History
Original Manuscript: April 22, 2009
Revised Manuscript: June 24, 2009
Manuscript Accepted: June 26, 2009
Published: July 21, 2009
Citation
Victor Nascov and Petre Cătălin Logofătu, "Fast computation algorithm for the Rayleigh-Sommerfeld diffraction formula using a type of scaled convolution," Appl. Opt. 48, 4310-4319 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-22-4310
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