CLOAKING IN TERMS OF NONRADIATING CANCELLING CURRENTS [chapter]

Enrica Martini, Stefano Maci, Arthur D. Yaghjian
2011 Selected Topics in Photonic Crystals and Metamaterials  
A theory of nonradiating cancelling (NRC) currents is formulated in order to derive sufficient conditions for cloaking on the dyadic constitutive parameters of an anisotropic linear metamaterial of arbitrary shape illuminated by arbitrary sources. The link between the NRC current theory and the constitutive parameters of the cloak is established by applying the volumetric equivalence theorem. The constitutive parameters are eventually found as a function of two vector potentials satisfying
more » ... e boundary conditions. Two-dimensional and three-dimensional transformation optics cloaks are derived as particular cases of the general formulation.
doi:10.1142/9789814355193_0011 fatcat:hb6nw3n7cjblniqwarsdypkfye