  Recently, researchers have proposed several carpet cloaking designs that are
able to hide a real object under a bump in a way that it is perceived as a flat
ground plane. Here, we present a method to design two-dimensional isotropic
carpet cloaking devices using Laplace transformation. We show that each
functional form of a Laplace transformation corresponds to a different carpet
cloaking design. Therefore, our approach allows us to systematically design a
rich variety of cloaking devices. Our analysis includes several examples
containing different bump geometries that illustrate the proposed methodology.
