Integrable solution for light shaping based on a Fourier-pair mapping Liangxin Yang, Irfan Badar, Christian Hellmann and Frank Wyrowski J. Eur. Opt. Soc.-Rapid Publ., 17 1 (2021) 15 Published online: 26 July 2021 DOI: 10.1186/s41476-021-00161-y