  Metasurfaces have attracted a great deal of attention from researchers due to
their prominent optical properties. In particular, metasurfaces may consist of
structures possessing optical anapole resonances with strong field confinement
and substantially suppressed scattering. As a result, such nanostructures
display enhanced nonlinear optical properties. In this paper by means of
three-dimensional finite-difference time-domain simulations, the ability of
anapole modes in high-index dielectric metasurfaces with circular nanopores is
shown. In the vicinity of the anapole state, the effective optical Kerr
nonlinearity increases by orders of magnitude. Simultaneously, the optical
transmission of the metasurface can reach high values up to unity.
