We are interested in the study of the optical properties of cylindrical interfaces by the analysis of the propagation of energy and power in coaxial cylinders. The numerical results are obtained for the surface polaritons propagating in semiconductors coaxial cylinders made of GaN and AlN. [3,6], updated the interest on the study of this kind of electromagnetic excitation. Particularly, the study of polaritons in microcavities has received a great deal of attention nowadays. Surface plasmon polaritons play a particularly important role in light-matter interactions at the nanometer scale, improving their performance in biology, nanotechnology, and materials sciences [4,7]. In the study reported here, we have analyzed the propagation of surface polaritons in coaxial cylinders made of GaN and AlN. First of all we focused our attention on the dispersion relation and we concentrate on the nonradiative modes, since these modes are important in optical communications. In sequence, we analyzed the energy density, the power flow and the energy transport velocity.