The properties of polaritons propagating in hollow dielectric and magnetic cylinders embedded in an optically inert medium are studied. We pay special attention to those solutions of Maxwell's equations that give the behavior of the nonradiative modes (confined and localized) propagating in an optically active cylindrical medium. The dispersion relation of surface (localized) modes is obtained. Numerical results are presented for cylinders constituted by magnetic and dielectric materials, such as the uniaxial Heisenberg antiferromagnet MnF_(2) and the dielectric TiO_(2).
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