The magnetic permeability in Fresnel's equation
Optics
2018-12-14 v1
Abstract
Magnetic permeabilities derived for infinite, periodic media are used in the Fresnel equation to calculate the reflection from corresponding semi-infinite media. By comparison to finite-difference-time-domain (FDTD) simulations, we find that the Fresnel equation gives accurate results for 2D metamaterials which mimic natural magnetism, in a frequency range where the magnetic moment density dominates the part of the total Landau--Lifshitz permittivity. For a 1D layered structure, or for large frequencies, the correspondence is poor. We also demonstrate that even if a medium is described accurately by a local permittivity and permeability, the Fresnel equation is not necessarily valid.
Keywords
Cite
@article{arxiv.1812.05466,
title = {The magnetic permeability in Fresnel's equation},
author = {Hans Olaf Hågenvik and Johannes Skaar},
journal= {arXiv preprint arXiv:1812.05466},
year = {2018}
}