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. 2017 Jul 4;7:4585. doi: 10.1038/s41598-017-04313-4

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© The Author(s) 2017

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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Interpolation of the antenna array signals. (a) Schematic of the interpolation algorithm. The OAM wave is detected using two antennas deployed transversely across the doughnut-shaped beam. These two antenna signals are multiplied by weighting coefficients and added together. This interpolated signal has the characteristics of a signal that would be received by an antenna positioned at a point between the two antennas. By varying the weighting coefficients with time, the location of the interpolated point can be made to move from one antenna to the other. (b) The rotation angle of the interpolated point P which rotates between Ant. 1 and Ant. 2 with speed Ω.