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. 2019 Dec 27;9:20104. doi: 10.1038/s41598-019-56369-z

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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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Results for the zero-th order Bessel beams. Field distribution in the (a1) sagittal plane, (a2) axial direction and (a3) transverse direction (at z = 35 mm) for the fraxicon lens. Field distribution in the (b1) sagittal plane, (b2) axial direction and (b3) transverse direction (at z = 35 mm) for the phase-only hologram. (c1–c3) Field magnitude (|p|) in the transverse direction (at z = 35 mm) for the fraxicon obtained using theory (c1), simulations (c2) and experiments (c3) for the fraxicon. (d1–d3) Corresponding field in the transverse direction for the phase-only hologram. Phase of the field (ϕ) in the transversal direction for (e1–e3) the fraxicon and (f1–f3) phase-only hologram.