Fig. 1. Superoscillatory diffractive neural networks (SODNNs) for super-resolution imaging without sidelobes^[2]. (a) SODNN optimization procedures with 3D optical field constraints. (b) SODNN optimized optical superoscillatory spots and (c) an optical needle with long depth-of-focus. (d) Height distribution (column 1), scanning electron microscope (SEM) image (column 2) of the fabricated SODNN diffractive modulation layer, and its simulated (column 3) and experimental (column 4) focusing performance. (e) Schematic of experimental setup for imaging resolution testing. (f) Imaging results by the commercial objective and SODNN.