A new method to find full complex roots of a complex dispersion equation for light propagation

Li Wan

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arXiv · 1109.0879

A new method to find full complex roots of a complex dispersion equation for light propagation

Li Wan

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Abstract

A new numerical method is presented to find full complex roots of a complex dispersion equation. For the application of the solution, the complex dispersion equation of a cylindrical metallic nanowire is investigated. By using this method, locus of Brewster angle, complex dispersion curves of Surface Plasmon Polaritons (SPPs) and complex bulk modes can be obtained in once calculation. Approximate analytical solution to the complex dispersion equation has also been derived to verify our method.

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physics.comp-ph cond-mat.mes-hall math-ph math.MP physics.optics

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Li Wan. 2011-08-30. A new method to find full complex roots of a complex dispersion equation for light propagation. https://arxiv.org/abs/1109.0879

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