Re-consideration of Kirchhoff's Current Law for electromagnetic cloaking and invisibility with plasmonic materials or impedance metasurfaces

In the present paper, the Kirchhoff's Current Law (KCL) is re-considered as a cloaking condition for structures based on dielectric-plasmonic materials (Plasmonic Cloaking) and devices made up of metallic-dielectric metasurfaces (Mantle Cloaking). Consistently with Devaney-Wolf Theorem III on non-scattering sources, the KCL is derived by imposing zeros on scattered near-fields in the quasi-static limit: beyond the quasi-static regime, the KCL can represent a local condition on each unit cell of impedance metasurfaces. The aim of this paper is to introduce a unified physical-mathematical framework for invisibility and cloaking devices from a novel perspective based on contrast and impedance concepts.