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. 2019 Mar 5;9:3608. doi: 10.1038/s41598-019-40441-9

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© The Author(s) 2019

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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Q4GOM in quantitative restoration of the geometric phase of a polarization directed flat lens. (a) Restored raw geometric phase mapping phase variations at the plane of the polarization directed flat lens. (b) Unwrapped phase from (a). (c) Phase profiles along the cross sections I (blue) and II (red) compared with theoretical phase profile (black) created for the focal length f = 100 mm. (d) 3D amplitude distribution of the focused field calculated from the reconstructed geometric phase. (e) Experimental axial intensity obtained from 3D amplitude distribution in (d) (blue) and theoretical intensity profile for diffraction limited lens (red). (f) Experimental (blue) and theoretical (red) transverse intensity profiles at the plane of maximum axial intensity and experimental transverse intensity profile at the paraxial focal plane (green).