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

Li Wan

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

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arxiv 1109.0879 v1 pith:VAJYNZPF submitted 2011-08-30 physics.comp-ph cond-mat.mes-hallmath-phmath.MPphysics.optics

Li Wan This is my paper

classification physics.comp-phcond-mat.mes-hallmath-phmath.MPphysics.optics

keywords complexdispersionequationmethodfindfullrootssolution

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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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