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. 2020 Nov 4;10:19031. doi: 10.1038/s41598-020-75931-8

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© The Author(s) 2020

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Comparison of calculated performance for DGSPR and single-resonator 16-element supercells. (a) Color map of calculated reflection coefficient amplitude with imposed contours representing reflected phase for DGSPR (left panel) and single-resonator (right panel) unit cells for system parameters of $P_{x} = P_{y} = 330 nm$ , $t_{m} = t_{s} = 70 nm, d_{x} = 90 nm$ , $t_{b} = g = 50 nm$ , $λ_{0} = 900 nm$ and normal incident TM polarized light. For the single-resonator unit cell the $d_{x}$ and g parameters are ignored as they are meaningless, and the nanobrick is centered on the unit cell. The separation between phase contours is ${22.5}^{\circ}$ for the detuned resonators and $90^{\circ}$ for the single resonators. Circular markers represent nanobricks selected for supercell modeling. (b) Supercell sketches for beam steering along the positive x-direction for DGSPR and single-resonator configurations and for both TM and TE polarization. (c) Calculated diffraction efficiencies for orders $| m | \leq 3$ as a function of wavelength of incident light for TM and TE polarization and for DGSPR and single-resonator supercells indicated by solid and dashed lines, respectively.