GRADED-INDEX FIBERS, WIGNER-DISTRIBUTION FUNCTIONS, AND THE FRACTIONAL FOURIER-TRANSFORM
GRADED-INDEX FIBERS, WIGNER-DISTRIBUTION FUNCTIONS, AND THE FRACTIONAL FOURIER-TRANSFORM
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DOI：
10.1364/ao.33.006188
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发表时间：
1994-09-10
期刊：
影响因子：
1.9
通讯作者：
LOHMANN, AW
中科院分区：
文献类型：
--
作者：
MENDLOVIC, D;OZAKTAS, HM;LOHMANN, AW
分数傅里叶变换之前已经有两种定义被提出。一种是基于波场在渐变折射率介质中的传播，另一种是基于旋转一个函数的维格纳分布。结果表明这两种定义是等效的。这种等效性的一个重要结果是，当波场在二次渐变折射率介质中传播时，波场的维格纳分布会旋转。还讨论了与光线光学相空间的关系。
Two definitions of a fractional Fourier transform have been proposed previously. One is based on the propagation of a wave field through a graded-index medium, and the other is based on rotating a function's Wigner distribution. It is shown that both definitions are equivalent. An important result of this equivalency is that the Wigner distribution of a wave field rotates as the wave field propagates through a quadratic graded-index medium. The relation with ray-optics phase space is discussed.