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. 2020 Jun 16;10:9731. doi: 10.1038/s41598-020-66476-x

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© The Author(s) 2020

Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Reflector spacing trade study. (a) Different absorption spectra with changes in reflector spacing d_g using the analytical interference calculation in Eq. (11). (b) Absorption spectra: Solid dark blue line is detailed FEA using reflector with spacing d_g = 0.5 μm, Dashed red line is analytical calculation based on Eq. (11) with reflection interference mechanism only, light blue line is detailed FEA for metamaterial cell only with no reflector.