Li Kenan, Jacobsen Chris
J Opt Soc Am A Opt Image Sci Vis. 2015 Nov 1;32(11):2074-81. doi: 10.1364/JOSAA.32.002074.
When calculating the focusing properties of cylindrically symmetric focusing optics, numerical wave propagation calculations can be carried out using the quasi-discrete Hankel transform (QDHT). We describe here an implementation of the QDHT where a partial transform matrix can be stored to speed up repeated wave propagations over specified distances, with reduced computational memory requirements. The accuracy of the approach is then verified by comparison with analytical results, over propagation distances with both small and large Fresnel numbers. We then demonstrate the utility of this approach for calculating the focusing properties of Fresnel zone plate optics that are commonly used for x-ray imaging applications and point to future applications of this approach.
在计算圆柱对称聚焦光学器件的聚焦特性时，可以使用准离散汉克尔变换（QDHT）进行数值波传播计算。我们在此描述了一种QDHT的实现方法，其中可以存储部分变换矩阵，以加快在指定距离上的重复波传播速度，同时降低计算内存需求。然后，通过与解析结果进行比较，在菲涅耳数较小和较大的传播距离上验证了该方法的准确性。接着，我们展示了这种方法在计算常用于X射线成像应用的菲涅耳波带片光学器件聚焦特性方面的实用性，并指出了该方法未来的应用方向。
