Magnetic permeability in Fresnel’s equation
Journal article, Peer reviewed
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Original versionJournal of the Optical Society of America. B, Optical physics. 2019, 36 (5), 1386-1395. 10.1364/JOSAB.36.001386
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 𝒪(𝑘2) 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.