Nascov Victor, Logofătu Petre Cătălin
Laser Department, National Institute for Laser, Plasma and Radiation Physics, P.O. Box MG-36, Măgurele 077125, Romania.
Appl Opt. 2009 Aug 1;48(22):4310-9. doi: 10.1364/ao.48.004310.
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.
我们描述了一种基于卷积定理的特殊公式和快速傅里叶变换，能够评估瑞利 - 索末菲衍射公式的快速计算算法。与其他算法相比，我们方法的新颖之处在于使用了带有尺度参数的更一般类型的卷积，这允许在输入和输出计算窗口中有独立的采样间隔。使用我们的算法进行的计算与直接数值积分之间的比较显示出非常好的一致性，同时计算速度提高了几个数量级。
