Transformation electromagnetics and theory of nonradiating sources

This work demonstrates single-frequency conditions on the constitutive dyads of a bianisotropic linear metamaterial that are sufficient to ensure cloaking for arbitrary shapes and arbitrary illumination. These cloaking conditions are formulated in terms of non-radiating volumetric currents, which are also useful in designing new metamaterial cloaks. The special known cases of transformation optics are derived as a particular choice of the vector potentials as a non linear transformation of the incident field. Finally, new solutions are investigated based on potentials constructed by linear field transformation.