  An innovative transformation electromagnetics (TE) paradigm, which leverages
on the Schwarz-Christoffel (SC) theorem, is proposed to design effective and
realistic field manipulation devices (FMDs). Thanks to the conformal property,
such a TE design method allows one to considerably mitigate the anisotropy of
the synthesized metalenses (i.e., devices with artificially engineered
materials covering an antenna to modify its radiation features) with respect to
those yielded by the competitive state-of-the-art TE techniques. Moreover,
devices with doubly connected contours, thus including masts with arbitrary
sections and lenses with holes/forbidden regions in which the material
properties cannot be controlled, can be handled. A set of numerical experiments
is presented to assess the features of the proposed method in terms of
field-manipulation capabilities and complexity of the lens material in a
comparative fashion.
