ARTICLE On-chip wavefront shaping with dielectric metasurface Zi Wang 1 , Tiantian Li 1 , Anishkumar Soman 1 , Dun Mao 1 , Thomas Kananen 1 & Tingyi Gu 1 Metasurfaces can be programmed for a spatial transformation of the wavefront, thus allowing parallel optical signal processing on-chip within an ultracompact dimension. On-chip meta- surfaces have been implemented with two-dimensional periodic structures, however, their inherent scattering loss limits their large-scale implementation. The scattering can be mini- mized in single layer high-contrast transmitarray (HCTA) metasurface. Here we demonstrate a one-dimensional HCTA based lens defined on a standard silicon-on-insulator substrate, with its high transmission (<1 dB loss) maintained over a 200 nm bandwidth. Three layers of the HCTAs are cascaded for demonstrating meta-system functionalities of Fourier trans- formation and differentiation. The meta-system design holds potential for realizing on-chip transformation optics, mathematical operations and spectrometers, with applications in areas of imaging, sensing and quantum information processing. https://doi.org/10.1038/s41467-019-11578-y OPEN 1 Department of Electrical and Computer Engineering, University of Delaware, Newark, DE 19711, USA. Correspondence and requests for materials should be addressed to T.G. (email: tingyigu@udel.edu) NATURE COMMUNICATIONS | (2019)10:3547 | https://doi.org/10.1038/s41467-019-11578-y | www.nature.com/naturecommunications 1 1234567890():,;