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Fast computation algorithm for the Rayleigh-Sommerfeld diffraction formula using a type of scaled convolution

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: V. Nascov, P.C. Logofatu

Editorial: Applied Optics, 48, p.4310-4319, 2009.


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.

Cuvinte cheie: convolutie scalata, formula de difractie Rayleigh-Sommerfeld, Transformarea Fourier Rapida, Transformarea Fourier fractionala // scaled convolution, Rayleigh-Sommerfeld diffraction formula, Fast Fourier Transform (FFT), Fractional Fourier transform, Diffraction, Diffraction theory, Mathematical methods (general), Discrete optical signal processing