On the minimal scattering response of PEC cylinders in a dielectric cloak

Recently, it was shown that an infinite perfectly electric conducting (PEC) cylinder can be nearly completely cloaked from normally incident electromagnetic waves using a single-layer homogeneous dielectric cladding. In this letter, we introduce a simple model of the cloaked PEC cylinder, of noninfinitesimal electrical size, by replacing it with an omnidirectional electric-line scatterer and a bipolar magnetic one. The analysis of the results shows that the optimal cloaking regime corresponds to the frequency point where the total electric moment is drastically mitigated; in the vicinity of this regime, we observe a behavior similar to Huygens' pairs. This explains the cloaking effect and shows that the radiation patterns of the device are directly controllable through the material parameters of the configuration, a feature that is useful in practical applications.