Application of the Wigner distribution function in optics
Application of the Wigner distribution function in optics
复制标题
DOI：
--
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Mj Martin Bastiaans
中科院分区：
文献类型：
--
作者：
Mj Martin Bastiaans
本文综述了维格纳分布函数及其在光学问题中的一些应用。维格纳分布函数同时在空间和（空间）频率上描述信号，可以认为是信号的局域频谱。虽然是从傅里叶光学中推导出来的，但用维格纳分布函数来描述信号，与几何光学中的射线概念非常相似。因此，它提出了傅里叶光学和几何光学之间的联系。维格纳分布函数的概念并不局限于确定性信号；它也可以应用于随机信号，从而呈现出部分相干和辐射测量之间的联系。因此，利用维格纳分布函数可以很容易地推导出部分相干光的一些有趣的性质。考虑了确定性信号和随机信号（分别为完全相干光和部分相干光）的Wigner分布函数的性质及其在线性系统中的传播；信号和系统的相应描述可以直接用几何光学术语解释。文中列举了一些例子来说明维格纳分布函数如何应用于光学领域中出现的问题。
This contribution presents a review of the Wigner distribution function and of some of its applications to optical problems. The Wigner distribution function describes a signal in space and (spatial) frequency simultaneously and can be considered as the local frequency spectrum of the signal. Although derived in terms of Fourier optics, the description of a signal by means of its Wigner distribution function closely resembles the ray concept in geometrical optics. It thus presents a link between Fourier optics and geometrical optics. The concept of the Wigner distribution function is not restricted to deterministic signals; it can be applied to stochastic signals, as well, thus presenting a link between partial coherence and radiometry. Some interesting properties of partially coherent light can thus be derived easily by means of the Wigner distribution function. Properties of the Wigner distribution function, for deterministic as well as for stochastic signals (i.e., for completely coherent as well as for partially coherent light, respectively), and its propagation through linear systems are considered; the corresponding description of signals and systems can directly be interpreted in geometric-optical terms. Some examples are included to show how the Wigner distribution function can be applied to problems that arise in the field of optics.