Berbel M A, Cunillera A, Martínez-Herrero R
J Opt Soc Am A Opt Image Sci Vis. 2018 Feb 1;35(2):286-292. doi: 10.1364/JOSAA.35.000286.
We present closed and simple expressions of the spatial and angular Goos-Hänchen and Imbert-Fedorov shifts in terms of the second-order irradiance moments of a beam. Our results are applicable to a general totally polarized partially coherent beam. One of the main advantages of this formalism is that it can be applied directly from the knowledge of the cross-spectral density function and the polarization state without using any modal beam expansion. The obtained expressions allow understanding of the relationship between the global spatial characteristics of the incident beam and the experimented shifts in the reflected beam. Cosine-Gaussian Schell-model beams with rectangular symmetry are used to exemplify results.
我们给出了基于光束二阶辐照度矩的空间和角向古斯-汉欣位移以及因伯特-费多罗夫位移的封闭且简单的表达式。我们的结果适用于一般的全偏振部分相干光束。这种形式主义的一个主要优点是，它可以直接根据交叉谱密度函数和偏振态的知识来应用，而无需使用任何模态光束展开。所得到的表达式有助于理解入射光束的整体空间特性与反射光束中实验测得的位移之间的关系。具有矩形对称性的余弦-高斯谢尔模型光束被用来举例说明结果。
