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Optical antennas are a fundamental element in optical phased arrays (OPA) and free-space optical interconnects. An outstanding challenge in optical antenna design lies in achieving high radiation efficiency, ultra-compact footprint and broad radiation angle simultaneously, as required for dense 2D OPAs with a broad steering range. Here we demonstrate a fundamentally new concept of a nanophotonic antenna based on near-field phase-engineering. By introducing a specific near-field phase factor in the Fraunhofer transformation, the far-field beam is widened beyond the diffraction limit for a given aperture size. We use transversally interleaved subwavelength grating nanostructures to control the near-field phase. The antenna reaches a radiation efficiency of 82%, a compact footprint of 3.1 um * 1.75 um and an ultra-broad far-field beam width of 52° and 62° in the longitudinal and transversal direction, respectively. This unprecedented design performance is achieved with a single-etch grating nanostructure in a 300-nm SOI platform.