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. 2018 Nov 22;9:4920. doi: 10.1038/s41467-018-07315-6

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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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Fig. 3 — Far-field acoustic focusing. a–c Theoretical calculation, numerical simulation, and experimental measurement of the pressure field, showing the normalized intensity maps after a normally incident plane wave transmits through the optimized metasurface lens. The white dashed line denotes the designated focal length. d, e The distributions of normalized pressure amplitude in cross sections of the focal spot along x direction and z direction, respectively. f Simulated full-width at half-maximum (FWHM) and focal length with different thicknesses of the acoustic metasurface varying in the range of [0.01λ, 0.1λ]. The profiles of pressure amplitude through the focal spot are shown in the insets