Fresnel reflection coefficients in the Fourier domain for a planar surface in uniform motion parallel to its interface
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908394242179072 |
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| author | Azar, Stéphane Golat, Sebastian Rodríguez-Fortuño, Francisco J. |
| author_facet | Azar, Stéphane Golat, Sebastian Rodríguez-Fortuño, Francisco J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04417 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fresnel reflection coefficients in the Fourier domain for a planar surface in uniform motion parallel to its interface Azar, Stéphane Golat, Sebastian Rodríguez-Fortuño, Francisco J. Optics 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. |
| title | Fresnel reflection coefficients in the Fourier domain for a planar surface in uniform motion parallel to its interface |
| topic | Optics |
| url | https://arxiv.org/abs/2506.04417 |