Yamazoe Kenji
Canon Inc., 23-10 Kiyohara-Kogyo-danchi Utsunomiya, Tochigi, 321-3298 Japan.
J Opt Soc Am A Opt Image Sci Vis. 2012 Aug 1;29(8):1529-36. doi: 10.1364/JOSAA.29.001529.
This paper defines a matrix from which coherence property of imaging by partially coherent Koehler illumination is determined. The matrix termed coherency matrix in imaging system is derived by the space average of a product of a column vector and its transpose conjugate where each row of the column vector represents mutually incoherent light. The coherency matrix in imaging system has similar properties to the polarization matrix that is utilized for calculating the light intensity and degree of polarization of polarized light. The coherency matrix in imaging system enables us to calculate not only image intensity but also degree of coherence for image. Simulation results of the degree of coherence for image given by the coherency matrix in imaging system correspond to the complex degree of coherence obtained by the van Cittert-Zernike theorem.
本文定义了一个矩阵，通过该矩阵可确定部分相干柯勒照明成像的相干特性。成像系统中称为相干矩阵的这个矩阵，是由一个列向量与其转置共轭的乘积的空间平均值推导得出的，其中列向量的每一行代表相互非相干光。成像系统中的相干矩阵具有与用于计算偏振光的光强和偏振度的偏振矩阵相似的特性。成像系统中的相干矩阵不仅能让我们计算图像强度，还能计算图像的相干度。成像系统中相干矩阵给出的图像相干度的模拟结果与通过范西特 - 泽尼克定理获得的复相干度相对应。
