  We study the possibility of the generation of the photo-induced image
currents at a distance from the surface of nano-sized metal clusters by using
time-dependent perturbation theory. We reveal that the wave function of an
electron excited to the image state is localized outside the surface and
current flows in a spherical shell whose radius is a few times the radius of
the sphere. Spin polarized light has been applied to a perfect icosahedral
metal cluster Li$_{13}$ whose optimization is achieved by molecular dynamic
simulation and band structure is obtained by DFT method and by solution of
radial Schr\"odinger equation. Up to our knowledge, despite the great effort on
their characteristics, image electrons have not been the subject of the studies
on photo-induced current.
