2019
DOI: 10.1103/physrevb.99.085408
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Computing one-dimensional metasurfaces

Abstract: We show that complex periodic metasurfaces can be simply represented by conformal transformations from the flat surface of a slab of material to a periodic grating leading to a methodology for computing their properties. Matrix equations are solved to give accurate solutions of Maxwell's equations with detailed derivations given in the Supplemental Material.

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Cited by 11 publications
(13 citation statements)
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“…They used a geometric singularity to control the global behavior of the spectrum: the discrete spectrum converges to the continuous one as the small thickness goes to zero. We refer to [64][65][66] for related works on the metasurfaces. In this work, we propose a metasurface which can generate a large class of simple to complex spectral patterns through only two geometric parameters.…”
Section: Resultsmentioning
confidence: 99%
“…They used a geometric singularity to control the global behavior of the spectrum: the discrete spectrum converges to the continuous one as the small thickness goes to zero. We refer to [64][65][66] for related works on the metasurfaces. In this work, we propose a metasurface which can generate a large class of simple to complex spectral patterns through only two geometric parameters.…”
Section: Resultsmentioning
confidence: 99%
“…In order to improve the visibility of the bands, in this section we choose a small value for the electron scattering rate γ e = 2 meV, which, however does not affect the validity of our argument. The optical response is obtained via semi-analytical solutions calculated by transforming the full set of Maxwell's equations via transformation optics, and finding the poles of the reflection coefficient, as detailed in [34,35]. In addition, we verify our semi-analytical calculations by plotting the corresponding spectra obtained via finiteelement simulations performed with COMSOL Multiphysics.…”
Section: Realization Of Flat Bands By Conformal Symmetrymentioning
confidence: 95%
“…Finally, we remark that the general scope of TO has enabled to fully take into account retardation effects by transforming the full set of Maxwell's equations. This enables the semi-analytical calculation of optical spectra for gratings of periods not limited to the very subwavelength regime, for arbitrary polarization states, and is exact at the level of Maxwell's equations [80].…”
Section: Designing Plasmonic Gratings With Transformation Opticsmentioning
confidence: 99%