A lens design method is disclosed for designing a lens to reshape an actual far-field radiation pattern of a radiation source, such as a spiral antenna, to a preferred far-field radiation pattern. The method comprises:—determining a preferred far-field radiation pattern of the radiation source;—deriving a corresponding near-field radiation pattern from the preferred far-field radiation pattern;—determining an actual near-field pattern of the radiation source;—mapping an electric field and a magnetic field of the actual near-field radiation pattern to the derived near-field radiation pattern using a transfer relationship, the transfer relationship comprising material parameters which characterize the lens; and,—determining the material parameters.