Institute for Quantum Science and Engineering (IQSE) and Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA and Department of Physics, Zhejiang University, Hangzhou 310027, China and The National Center for Mathematics and Physics, KACST, P.O. Box 6086, Riyadh 11442, Saudi Arabia.
Beijing Computational Science Research Center, Beijing, 100084, China.
Phys Rev Lett. 2013 Nov 27;111(22):223901. doi: 10.1103/PhysRevLett.111.223901. Epub 2013 Nov 26.
The Goos-Hänchen (GH) shift refers to a lateral displacement (from the path expected from geometrical optics) along an interface in totally internal reflection. This phenomenon results from a coherence effect. In order to bring to light the role of coherence, the reflection of partially coherent light fields was investigated within the framework of the theory of coherence. A formal expression for the GH shifts of partially coherent light fields is obtained in terms of Mercer's expansion. It is shown that both the spatial coherence and the beam width have an important effect on the GH shift, especially near the critical angles (such as totally reflection angle). These results are important to observe the GH shifts of the beams with imperfect coherence, like x-ray and matter-wave beams.
古斯-汉欣（GH）位移是指在全内反射界面上沿着光的路径发生的横向位移（偏离几何光学的路径）。这种现象是由相干效应引起的。为了揭示相干的作用，在相干理论的框架内研究了部分相干光场的反射。通过 Mercer 展开式，得到了部分相干光场 GH 位移的形式表达式。结果表明，空间相干性和光束宽度对 GH 位移有重要影响，特别是在临界角附近（如全反射角）。这些结果对于观察具有非完美相干性的光束（如 X 射线和物质波光束）的 GH 位移非常重要。
