Lorentz invariant materials and metamaterials

Fuente: arXiv
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Main Authors: Lasa-Alonso, Jon, Molina-Terriza, Gabriel
Format: Preprint
Published: 2025
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author Lasa-Alonso, Jon
Molina-Terriza, Gabriel
author_facet Lasa-Alonso, Jon
Molina-Terriza, Gabriel
contents We show that electromagnetic constitutive relations of materials, defined by a scalar permittivity, $\varepsilon$, and permeability, $μ$, are the same for all inertial observers provided that $\varepsilonμ= 1$ is satisfied. To highlight the practical power of our general result, we discuss schemes in which this property plays a significant role, such as Fresnel-Fizeau optical drag or modified Snell's law for moving dielectrics. We also proof that such a particular behavior can be extended to systems like uniaxial anisotropic media or negative refractive index metamaterials.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20784
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lorentz invariant materials and metamaterials
Lasa-Alonso, Jon
Molina-Terriza, Gabriel
Optics
Applied Physics
We show that electromagnetic constitutive relations of materials, defined by a scalar permittivity, $\varepsilon$, and permeability, $μ$, are the same for all inertial observers provided that $\varepsilonμ= 1$ is satisfied. To highlight the practical power of our general result, we discuss schemes in which this property plays a significant role, such as Fresnel-Fizeau optical drag or modified Snell's law for moving dielectrics. We also proof that such a particular behavior can be extended to systems like uniaxial anisotropic media or negative refractive index metamaterials.
title Lorentz invariant materials and metamaterials
topic Optics
Applied Physics
url https://arxiv.org/abs/2506.20784