Augmented　reality　(AR)　near-eye　displays　seamlessly　integrate　virtual　information　with　real　world,　in　which　the　optical　waveguide　is　the　key　component　functioned　as　a　coupler.　Due　to　strong　chromatic　aberration,　independent　waveguides　are　always　indispensable　to　separate　the　three　primary　colors　that　inevitably　brings　larger　and　thicker　appearance.　To　address　this,　this　paper　proposes　a　new　chromatic-aberration-free　single-layer　waveguide　for　AR　displays　by　integrating　a　double-layer　grating　metasurface　(MS)　and　the　covered　cylindrical　MSs.　The　double-layer　grating　MS　breaks　through　the　limitations　on　a　narrow　wavelength　band,　enabling　high　diffraction　efficiency　for　incident　light　deflection　across　the　entire　visible　spectrum.　Further,　the　cylindrical　MSs　provide　accurate　control　over　incident　angles,　not　only　overcoming　the　challenge　of　total　reflection　but　also　effectively　eliminating　chromatic　aberration.　Design　results　show　that　the　proposed　structure　achieves　an　impressive　diffraction　efficiency　of　over　80　%　for　blue　and　green　light　and　over　90　%　for　red　light　with　an　outstanding　diffraction　angular　difference　lower　than　2.5　deg.　Real-time　ray　tracing　simulation　demonstrates　the　capability　of　the　designed　AR　engine　to　achieve　high-resolution　full-color　imaging.　The　compound　MSs　enable　precise　light　and　color　control　for　a　single-layer　waveguide　coupler　with　exceptional　diffraction　efficiency　and　minimal　chromatic　aberration,　which　show　great　potential　for　cutting-edge　AR　applications.　©　2024　Elsevier　Ltd