Duality Between Spatial and Angular Shift in Optical Reflection
A. Aiello, M. Merano, J. P. Woerdman

TL;DR
This paper presents a unified theoretical and experimental framework for understanding the duality between spatial and angular shifts, specifically the Goos-Hanchen and Imbert-Fedorov effects, in optical reflections from various surfaces.
Contribution
It introduces a unified representation of spatial and angular shifts in optical reflection, revealing their dual nature and extending understanding to lossy surfaces like metals.
Findings
Unified theoretical model for spatial and angular shifts
Experimental validation of the duality in reflection from lossy surfaces
Identification of the dual nature of shifts in different reflection regimes
Abstract
We report a unified representation of the spatial and angular Goos-Hanchen and Imbert-Fedorov shifts that occur when a light beam reflects from a plane interface. We thus reveal the dual nature of spatial and angular shifts in optical beam reflection. In the Goos-Hanchen case we show theoretically and experimentally that this unification naturally arises in the context of reflection from a lossy surface (e.g., a metal).
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