Analytical solutions to zeroth-order dispersion relations of a cylindrical metallic nanowire

Details Analytical solutions to zeroth-order dispersion relations of a cylindrical metallic nanowire Analytical solutions to zeroth-order dispersion relations of a cylindrical metallic nanowire

2011-08-24

arxiv.org/abs/1108.4797v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6pages, 3figures

Scientific paper

Zeroth-order complex dispersion relations of a cylindrical metallic nanowire have been solved out analytically with approximate methods. The analytical solutions are valid for the sections of the dispersion relations whose frequencies are close to the Surface Plasmon frequency. The back bending of the Surface Plasmon-Polaritons(SPPs) can be well described by the analytical solutions, confirming that the back bending is originated from the metal Ohmic loss. The utility of the back bending point in the dispersion relation for the measurement of the metallic Ohimc loss has also been suggested.

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