Fast computation algorithm for the Rayleigh-Sommerfeld diffraction formula using a type of scaled convolution.
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.
Nascov
Victor
V
Laser Department, National Institute for Laser, Plasma and Radiation Physics, P.O. Box MG-36, Măgurele 077125, Romania.
Logofătu
Petre Cătălin
PC