Fig. 1 Experimental setup.

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Fig. 1 Experimental setup. Experimental setup. (A) Our 1.6-km free-space link is over the city of Erlangen in Germany. The optical beam is transmitted over both buildings, roads, and wooded areas as pictured. Image is courtesy of Google Map data 2016. (B) A fiber-coupled optical linearly polarized source with a wavelength of 809 nm is collimated and illuminates a spatial light modulator (SLM). An ℓ-forked hologram is displayed on the surface of the SLM. This diffractive hologram imparts the desired azimuthally varying phase pattern onto the wavefront of the incident optical beam. The beam is then magnified by a telescope (consisting of two lenses, L1 and L2) to give a maximum diameter of approximately 40 mm. After propagation over the 1.6-km free-space optical link, the light is collected by a receiver lens with a diameter of 150 mm and a focal length of 800 mm (L3). L4 is used to demagnify the beam to approximately 10 mm in diameter, allowing the analysis of the received light. A beam splitter is used to simultaneously image the received beams on a camera, C1, and pass the light through an OAM mode sorter (MS) to measure the modal content of the received light (C2). Martin P. J. Lavery et al. Sci Adv 2017;3:e1700552 Copyright © 2017 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution License 4.0 (CC BY).