It presents the design of a hyperlens with the multi-layered half-cylindrical structure
which can get the far-field optical imaging beyond the diffraction limit at different wavelengths. The hyperlens consists of two kinds of semiconductors whose dielectric permittivity depends on the operating wavelength. Numerical simulation shows that the hyperlens can fulfill far-field superlensing conditions at multiple different wavelengths. The wavelength range of the hyperlens can be controlled by choosing appropriate dielectrics
and each range can be finely tuned via the change in the thickness radio of the two dielectric layers.