Department of Physics and Mathematics, University of Joensuu, P.O. Box 111, FI-80101 Joensuu, Finland.
Opt Lett. 2009 Dec 15;34(24):3866-8. doi: 10.1364/OL.34.003866.
We extend Mandel's scalar-wave concept of cross-spectral purity to electromagnetic fields. We show that in the electromagnetic case, assumptions similar to the scalar cross-spectral purity lead to a reduction formula, analogous with the one introduced by Mandel. We also derive a condition that shows that the absolute value of the normalized zeroth two-point Stokes parameter of two cross-spectrally pure electromagnetic fields is the same for every frequency component of the field. In analogy with the scalar theory we further introduce a measure of the cross-spectral purity of two electromagnetic fields, namely, the degree of electromagnetic cross-spectral purity.
我们将曼德尔的标量波交叉光谱纯度概念扩展到电磁场。我们表明,在电磁情况下,类似于标量交叉光谱纯度的假设会导致一个简化公式,类似于曼德尔引入的公式。我们还推导出一个条件,表明两个交叉光谱纯净的电磁场的归一化零阶两点斯托克斯参数的绝对值对于场的每个频率分量都是相同的。与标量理论类似,我们进一步引入了两个电磁场的交叉光谱纯度的度量,即电磁交叉光谱纯度的程度。