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Fresnel reflection coefficients in the Fourier domain for a planar surface in uniform motion parallel to its interface

2025/06/04 by S Kadivian Azar, Azar, Stéphane, Sebastian Golat +3
Engineering · Physics and Astronomy · #FOS: Physical sciences #Near-Field Optical Microscopy #Optical and Acousto-Optic Technologies #Optics (physics.optics) #Plasmonic and Surface Plasmon Research

paper · doi:10.48550/arxiv.2506.04417

openalex publication_date 2025/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The optical reflection coefficient of a dielectric medium moving uniformly in the plane spanned by its surface is rigorously calculated using classical electrodynamics and special relativity, and expressed in the Fourier domain, as a function of the incident frequency and wavevector, valid in both the far- and near-field regimes. It is found that cross-polarisation appears as a consequence of the motion, except when it is directed along the plane of incidence. As an example, using a Drude model for the permittivity of the surface at rest, the dispersion relation of its surface modes is calculated. A tilting of the dispersion relation is observed, leading to movement-induced surface plasmon unidirectionality and non-reciprocity.

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