Pe'er A, Wang D, Lohmann A W, Friesem A A
Appl Opt. 2001 Jan 10;40(2):249-56. doi: 10.1364/ao.40.000249.
A unified mathematical formulation for designing and analyzing even the most general optical processor is presented. It exploits the Wigner distribution function to characterize the illumination, the input, the inherent filter, and the output results. To characterize the propagation of the light through the optical processor setup, we exploit the Wigner matrix formalism, which is appealing because it allows simple geometric analysis. The Wigner distribution function was extended to include illumination of arbitrary coherence so that processors using either coherent light or partially coherent light can be designed and analyzed with the same Wigner formalism. The basic principles, design, and analysis of the imaging and Fourier-transform operations and use of the Wigner formalism to evaluate the performance and tolerances of optical processors are presented.
本文提出了一种统一的数学公式，用于设计和分析即使是最通用的光学处理器。它利用维格纳分布函数来表征照明、输入、固有滤波器和输出结果。为了表征光在光学处理器设置中的传播，我们利用维格纳矩阵形式，这很有吸引力，因为它允许进行简单的几何分析。维格纳分布函数被扩展到包括任意相干性的照明，以便可以用相同的维格纳形式来设计和分析使用相干光或部分相干光的处理器。本文介绍了成像和傅里叶变换操作的基本原理、设计和分析，以及使用维格纳形式来评估光学处理器的性能和容差。
