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Updated: Sep 25, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
Published on: October 11, 2016
Influence of spatial dispersion on phase and lateral shifts near the reflection dip in the Kretschmann-Raether
Abstract:
The influence of spatial dispersion of metals on phase and Goos-Hänchen (GH) shifts near the reflection dip has been investigated in the Kretschmann-Raether configuration, within the hydrodynamic model framework. We have derived an analytical expression of the reflection coefficient and discussed the optical properties when the nonlocality of metals based on the phenomenological model and Kretchmann's theory is taken into account. Our results show that nonlocality has a significant impact for large wavevectors and causes a shift of the critical point corresponding to the total absorption. Furthermore, these changes also lead to diverse changes in the optical properties including amplitude, phase and GH shift close to the conditions of excitation for the surface plasmon. Our work provides a solid foundation for the understanding of nonlocality in multilayered plasmonic structures and paves the way for future experiments.
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