Healy John J, Sheridan John T
Department of Computer Science, National University of Ireland, Maynooth, Co. Kildare, Ireland.
J Opt Soc Am A Opt Image Sci Vis. 2011 May 1;28(5):786-90. doi: 10.1364/JOSAA.28.000786.
The product of the spatial and spatial frequency extents of a wave field has proven useful in the analysis of the sampling requirements of numerical simulations. We propose that the ratio of these quantities is also illuminating. We have shown that the distance at which the so-called "direct method" becomes more efficient than the so-called "spectral method" for simulations of Fresnel transforms may be written in terms of this space-bandwidth ratio. We have proposed generalizations of these algorithms for numerical simulations of general ABCD systems and derived expressions for the "transition space-bandwidth ratio," above which the generalization of the spectral method is the more efficient algorithm and below which the generalization of the direct method is preferable.
波场的空间范围与空间频率范围的乘积已被证明在数值模拟的采样要求分析中很有用。我们提出这些量的比值也具有启发性。我们已经表明，在菲涅耳变换模拟中，所谓的“直接法”比所谓的“谱方法”更有效的距离可以用这个空间带宽比来表示。我们已经提出了这些算法对一般ABCD系统数值模拟的推广，并推导出了“过渡空间带宽比”的表达式，高于该比值时谱方法的推广是更有效的算法，低于该比值时直接方法的推广更可取。
