Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms.
Reevaluation of the direct method of calculating Fresnel and other linear canonical transforms.
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DOI：
10.1364/ol.35.000947
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发表时间：
2010-04
期刊：
影响因子：
3.6
通讯作者：
J. Healy;J. Sheridan
中科院分区：
文献类型：
--
作者：
J. Healy;J. Sheridan
线性正则变换可以用来模拟近轴光学系统对波场的影响。利用离散线性正则变换的最新定义，对菲涅耳和其他线性正则变换的直接计算方法的采样要求的相空间图分析比以前认为的更有利。因此，计算这些变换的直接方法可以使用比以前报道的更少的样本，只需在算法输出的样本上使用适当的重构滤波器。
The linear canonical transform may be used to simulate the effect of paraxial optical systems on wave fields. Using a recent definition of the discrete linear canonical transform, phase space diagram analyses of the sampling requirements of the direct method of calculating the Fresnel and other linear canonical transforms are more favorable than previously thought. Thus the direct method of calculating these transforms may be used with fewer samples than previously reported simply by making use of an appropriate reconstruction filter on the samples output by the algorithm.