  Recently, nonlinear hybrid metasurface comes into an attractive new concept
in the research of nanophotonics and nanotechnology. It is composed of
semiconductors with an intrinsically large nonlinear susceptibility and
traditional plasmonic metasurfaces, offering opportunities for efficiently
generating and manipulating nonlinear optical responses. A high second-harmonic
generation (SHG) conversion efficiency has been demonstrated in the
mid-infrared region by using multi-quantum-well (MQW) based plasmonic
metasurfaces. However, it has yet to be demonstrated in the visible region.
Here we present a new type of nonlinear hybrid metasurfaces for the visible
region, which consists of a single layer of tungsten disulfide (WS2) and a
phased gold nanohole array. The results indicate that a large SHG
susceptibility of ~0.1 nm/V at 810 nm is achieved, which is 2~3 orders of
magnitude larger than that of typical plasmonic metasurfaces. Nonlinear
metalenses with the focal lengths of 30 {\mu}m, 50 {\mu}m and 100 {\mu}m are
demonstrated experimentally, providing a direct evidence for both generating
and manipulating SH signals based on the nonlinear hybrid metasurfaces. It
shows great potential applications in designing of integrated, ultra-thin,
compacted and efficient nonlinear optical devices, such as frequency
converters, nonlinear holography and generation of nonlinear optical vortex
beam.
