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Surface Plasmons On Uniaxial Crystals With Grating Surfaces

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  • R.N. COSTA FILHO

    (Department of Physics, University of Western Ontario, London, Ontario N6A 3K7, Canada)

  • V.N. FREIRE

    (Department de Física, Universidade Federal do Ceará, 60455-760 Fortaleza, Ceará, Brazil)

  • G.A. FARIAS

    (Department de Física, Universidade Federal do Ceará, 60455-760 Fortaleza, Ceará, Brazil)

Abstract

In this paper we calculate the dispersion relation of surface plasmons propagating on uniaxial crystals, upon which a periodic grating has been built. The Rayleigh–Fano method is used, resulting in an infinite number of branches. We consider different orientations of the optical axis of the crystal, with respect to the direction of propagation. It is observed that the splitting of the surface plasmons depends not only on the ratio between the amplitude of the grating and its period(ζo/a), but also on the factor of anisotropy$\gamma =\sqrt{\epsilon_{xx}/\epsilon_{zz}}$, which changes for each optical orientation. Numerical results for the dispersion relation are obtained forα-SiO2, and show the influence of the factor γ on the convergence of matrices.

Suggested Citation

  • R.N. Costa Filho & V.N. Freire & G.A. Farias, 1996. "Surface Plasmons On Uniaxial Crystals With Grating Surfaces," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 1387-1392.
    • Handle: RePEc:wsi:srlxxx:v:03:y:1996:i:03:n:s0218625x96002394
    DOI: 10.1142/S0218625X96002394
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    ; 73.20.-r; 71.36; +c;
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