We study the effects of a dc external magnetic field on the polaritons propagating in hollow dielectric cylinders, taking into account the retardation effects. In solving Maxwell's equations we show that only the TM modes can propagate in these systems, and we obtain the dispersion relation of the confined-surface-polariton modes. The effects of geometric parameters and the external magnetic field on the propagation of surface-polariton modes are also analyzed and show significant influence on the behavior of the modes. Numerical results are presented for the dispersion relation of surface polaritons with GaAs as the optically active medium.
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 MnF2 and the dielectric TiO2.
PACS 71.36.+c, 71.55.Eq We present a theoretical description of the properties of exciton-polariton propagating in cylindrical geometry made up from spatially dispersive semiconductor material. Taking into account Maxwell's equations within the retardation effect regime, and using the exciton additional boundary condition, the exciton-polariton dispersion relation is obtained by solving a secular determinant. We present numerical results obtained for a cylinder filled up with the nitride semiconductor GaN. Our results show that the surface's geometry plays a significant role on the properties of the exciton-polariton.
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