Lin Qiang, Cai Yangjian
Opt Lett. 2002 Feb 15;27(4):216-8. doi: 10.1364/ol.27.000216.
A 4 x 4 complex curvature tensor M>(-1) is introduced to describe partially coherent anisotropic Gaussian-Schell model (GSM) beams. An analytical propagation formula for the cross-spectral density of partially coherent anisotropic GSM beams is derived. The propagation law of M(-1) that is also derived may be called partially coherent tensor ABCD law. The analytical formulas presented here are useful in treating the propagation and transformation of partially coherent anisotropic GSM beams, which include previous results for completely coherent Gaussian beams as special cases.
引入一个4×4复曲率张量M>(-1)来描述部分相干各向异性高斯-谢尔模型(GSM)光束。推导了部分相干各向异性GSM光束交叉谱密度的解析传播公式。所推导的M(-1)的传播定律可称为部分相干张量ABCD定律。这里给出的解析公式对于处理部分相干各向异性GSM光束的传播和变换很有用,其中包括完全相干高斯光束的先前结果作为特殊情况。