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    Phase-Space Nonseparability, Partial Coherence, and Optical Beam Shifts

    Yahong Chen1,2,* and Sergey A. Ponomarenko3,4,†

    • 1School of Physical Science and Technology, Soochow University, Suzhou 215006, China
    • 2Suzhou Key Laboratory of Intelligent Photoelectric Perception, Soochow University, Suzhou 215006, China
    • 3Department of Electrical and Computer Engineering, Dalhousie University, Halifax, Nova Scotia B3J 2X4, Canada
    • 4Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Nova Scotia B3H 4R2, Canada

    • *Contact author: yahongchen@suda.edu.cn
    • †Contact author: serpo@dal.ca

    Phys. Rev. Lett. 135, 193801 – Published 5 November, 2025

    DOI: https://doi.org/10.1103/cnvj-6w6f

    Abstract

    As a paraxial wave packet is reflected or refracted from a planar interface separating two material media, it experiences spatial and angular shifts of its center position with respect to predictions of the geometrical ray picture. These in-plane and out-of-plane beam shifts are known as Goos-Hänchen and Imbert-Fedorov shifts, respectively. We discover a universal link between the phase-space nonseparability of an incident wave packet of any degree of spatial coherence and the reflected beam shifts. We unveil coherence Goos-Hänchen and coherence Hall effects, absent in the fully coherent limit. While the former effect can trigger a pronounced enhancement of the spatial Goos-Hänchen shift, the latter enables control of the spatial Imbert-Fedorov shift, from complete cancellation at a certain incidence angle to dramatic enhancement of the shift to giant magnitudes for nearly incoherent incident wave packets. Our results are equally applicable to optical, x-ray, and neutron, as well as matter waves, and they showcase novel phenomena in wave-matter interactions.

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