Electrodynamic models and radiophysical properties of carbon nanotubes – vibrators (isolated on the substrate lattices), metallic optical antennas and optical antennas, formed from ZnO nanorods coated with metal films were developed and investigated. The models are based on numerically-analytical solution of integro-differential equations describing the diffraction of electromagnetic waves on impedance and dielectric bodies. Using the integral representations of the kernels of integro-differential equations allowed to overcome the difficulties of solution, associated with the singularity of kernels and to reduce the computation time for an order.