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Polarizability theory and discrete dipole approximation in a rotating mediumrest-frame is developed and discussed. The analysis is based on a rigorousrotating medium Green's function, and is used to study the effect of rotationon various arrays and metamaterials. The non-reciprocal electrodynamics inducedby the rotation is exposed and studied. Although it can be interpreted in termsof the multiplicity of Sagnac interference loops inside the structure, theassociated rotation footprint exhibits new effects of the structure parametersnot previously reported in conventional Sagnac effect. The resultingnon-reciprocity will also be demonstrated and discussed.

Breach of symmetries in rotating arrays and metamaterials observed in their rest frame