  Metasurfaces that can work without the rigorous periodic arrangement of
meta-atoms are highly desired by practical optical micro-nano devices. In this
work, we proposed two kinds of Kerker-type metasurfaces possessing positional
disorder immunity. The metasurfaces are composed of two different core-shell
cylinders satisfying the first and second Kerker conditions, respectively. Even
with large positional disorder perturbation of the meta-atoms, the metasurfaces
can still maintain the same excellent performances as periodic ones, such as
the total transmission and magnetic mirror responses. This disorder immunity is
due to the unidirectional forward and backward scatterings of a single
core-shell cylinder leading to very weak lateral couplings between neighboring
cylinders thus rarely affecting the multiple scatterings in the forward or
backward direction. In contrast, the dominant response of the disordered
non-Kerker-type metasurface decreases significantly. Our findings provide a new
idea for designing robust metasurfaces and extend the scope of metasurface
applications in sensing and communication under complex practical
circumstances.
