Spectrally tunable linear polarization rotation using stacked metallic metamaterials

Romain, Xavier; Baida, Fadi; Boyer, Philippe

doi:10.1109/metamaterials.2017.8107924

Cited by 1 publication

(1 citation statement)

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“…The available calculation approaches for predicting properties of such structures do not provide the full picture as well. In recent studies, it has been proposed either to apply effective medium approximation [39] or to build a transfer/scattering matrix approach for the main (0th) diffraction channel [44,[61][62][63][64][65][66][67]. Such ap-proaches undoubtedly boost and simplify the calculations but have strongly limited application area.…”

Section: Introductionmentioning

confidence: 99%

Fourier modal method for Moiré lattices

Karmanova,

Fradkin,

Dyakov

et al. 2021

Preprint

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In recent years twisted bi-layers of 2D materials became very popular in the field due to the possibility to totally change their electronic properties by simple rotation. At the same time, in the wide field of photonic crystals, this idea still remains almost untouched, and only some particular problems were considered. One of the reasons is the computational difficulty of the accurate consideration of Moiré superlattices that appear due to the superimposition of misaligned lattices. Indeed, the unit cell of the complex lattice is typically much larger than the original crystals and requires much more computational resources for the computations. Here, we propose a careful adaptation of the Fourier modal method in the form of the scattering matrices for the description of twisted 1D gratings' stacks. Our approach allows us to consider sublattices in close vicinity to each other and account for their interaction via the near-field. In the developed numerical scheme, we utilize the fact that each sublattice is only 1D-periodic and therefore simpler than the resulting 2D superlattice, as well as the fact that even a small gap between the lattices filters out high Fourier harmonics due to their evanescent origin. This accelerates the computations from 1 up to 3 and more orders of magnitude for typical structures depending on the number of harmonics. This paves the way for rigorous study of almost any photonic crystals of the proposed geometry and demonstration of specific Moiré-associated effects.

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