  Toroidal multipoles are the terms missing in the standard multipole
expansion; they are usually overlooked due to their relatively weak coupling to
the electromagnetic fields. Here we propose and theoretically study
all-dielectric metamaterials of a special class that represent a simple
electromagnetic system supporting toroidal dipolar excitations in the THz part
of the spectrum. We show that resonant transmission and reflection of such
metamaterials is dominated by toroidal dipole scattering, the neglect of which
would result in a misunderstanding interpretation of the metamaterials
macroscopic response. Due to the unique field configuration of the toroidal
mode the proposed metamaterials could serve as a platform for sensing, or
enhancement of light absorption and optical nonlinearities.
