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. 2018 Mar 15;8:4642. doi: 10.1038/s41598-018-22895-5

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© The Author(s) 2018

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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Representative ASTPA anodization profiles used to produce apodized nanoporous anodic alumina distributed Bragg reflectors (NAA-DBRs) by modifying the apodization function (linear positive, linear negative, logarithmic positive, and logarithmic negative) and the anodization amplitude difference from ΔA_J = 0.105 to 0.420 mA cm⁻² (constant parameters – T_P = 1300 s, J_Low = J_Offset = 0.280 mA cm⁻², and t_ASTPA = 20 h. (a) Linear positive apodization. (b) Linear negative apodization. (c) Logarithmic positive apodization. (d) Logarithmic negative apodization.