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. 2018 Mar 22;8:5072. doi: 10.1038/s41598-018-23464-6

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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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Normalized intensity of the beam propagation along the optical axis of an infinite GRIN lens for wavelength λ = 976 nm: (a) Ideal GRIN lens, (b) nGRIN lens. Planes A and B correspond to propagation distances in the lens, where the beam reaches the minimum and maximum width, respectively. Λ/2 denotes half-pitch length.