Rotation-induced effects and polarizability theory for rotating metamaterials observed in their rest-frame

Moving nano-strauctures and metamaterials may serve as a platform for new non-reciprocal devices such as circulators and isolators, as well as for a new family of motion-sensors. Of particular interest is the case of structures rotating at a given angular velocity Omega, as rotation is inherently non-inertial thus it exhibits a wider class of unique physical phenomena. Furthermore, compare to linear translation, rotation can be manifested in smaller physical settings. Finally, we point out that the study of the electrodynamics of rotating structures as observed in their rest frame of reference, say mathbb{R} {Omega}, may be of great interest for several reasons. First, this frame of reference alleviates the need to contend with the computational complexity associated with moving boundaries. The transformation of the incident/scattered field from the inertial/Lab frame mathbb{R} {0} to mathbb{R} {Omega}, and back, can be done using standard, explicit transformations [1], while the significantly more difficult task of solving the scattering problem itself - the heart of the matter - incorporates non-moving boundaries in mathbb{R} {Omega}. Second, this frame of reference is the natural one for the analysis of rotation sensors/optical gyroscopes for navigation, since the rotation estimates must be obtained at the rotating platform itself.