Goos-H'{a}nchen Shifts of Partially Coherent Light Fields

摘要

We investigate the Goos-H\"{a}nchen (GH) shifts of partially coherent fields(PCFs) by using the theory of coherence. We derive a formal expression for theGH shifts of PCFs in terms of Mercer's expansion, and then clearly demonstratethe dependence of the GH shift of each mode of PCFs on spatial coherence andbeam width. We discuss the effect of spatial coherence on the resultant GHshifts, especially for the cases near the critical angles, such as totallyreflection angle.