Surface polaritons on left-handed cylinders: A complex angular momentum analysis
arXiv:cond-mat/0501034 · doi:10.1103/PhysRevB.72.085458
Abstract
We consider the scattering of electromagnetic waves by a left-handed cylinder -- i.e., by a cylinder fabricated from a left-handed material -- in the framework of complex angular momentum techniques. We discuss both the TE and TM theories. We emphasize more particularly the resonant aspects of the problem linked to the existence of surface polaritons. We prove that the long-lived resonant modes can be classified into distinct families, each family being generated by one surface polariton propagating close to the cylinder surface and we physically describe all the surface polaritons by providing, for each one, its dispersion relation and its damping. This can be realized by noting that each surface polariton corresponds to a particular Regge pole of the matrix of the cylinder. Moreover, for both polarizations, we find that there exists a particular surface polariton which corresponds, in the large-radius limit, to the surface polariton which is supported by the plane interface. There exists also an infinite family of surface polaritons of whispering-gallery type which have no analogs in the plane interface case and which are specific to left-handed materials.
published version. v3: reference list corrected
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Cited by in corpus (6)
- Theory of confined plasmonic waves in coaxial cylindrical cables fabricated of metamaterials
- Surface polaritons on left-handed spheres
- Surface polaritons in two-dimensional left-handed photonic crystals
- Surface plasmons in coaxial metamaterial cables
- Surface plasmon polaritons and surface phonon polaritons on metallic and semiconducting spheres: Exact and semiclassical descriptions
- Surface polaritons of a left-handed curved slab