Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula
Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula
复制标题
DOI：
10.1364/ao.45.001102
复制
发表时间：
2006-02-20
期刊：
影响因子：
1.9
通讯作者：
Wang, AB
中科院分区：
文献类型：
--
作者：
Shen, FB;Wang, AB
研究了Rayleigh-Sommerfeld衍射积分的数值计算方法。提出了一种基于快速傅里叶变换（FFT）的直接积分（FFT- di）方法，并利用辛普森规则提高了计算精度。讨论了FFT-DI和基于fft的角谱（FFT-AS）方法的采样间隔、计算窗口大小及其对数值精度和计算复杂度的影响。通过数值仿真验证了FFT-DI方法的性能，并与FFT-AS方法进行了比较。(c) 2006年美国光学学会。
The numerical calculation of the Rayleigh-Sommerfeld diffraction integral is investigated. The implementation of a fast-Fourier-transform (FFT) based direct integration (FFT-DI) method is presented, and Simpson's rule is used to improve the calculation accuracy. The sampling interval, the size of the computation window, and their influence on numerical accuracy and on computational complexity are discussed for the FFT-DI and the FFT-based angular spectrum (FFT-AS) methods. The performance of the FFT-DI method is verified by numerical simulation and compared with that of the FFT-AS method. (c) 2006 Optical Society of America.