On a Mathematical Theory of Open Metal–Dielectric Waveguides

Authors: Y. Shestopalov , E. Kuzmina and A. Samokhin

Source: FERMAT, Volume 5, Article 1, Sep-Oct., 2014


Abstract: Existence of symmetric waves in open metal– dielectric waveguides, a dielectric rod and the Goubau line, is proven by analyzing the of functional properties of the dispersion equations (DEs) and parameter-differentiation method, applied to the analytical and numerical solution of the DEs. Various limiting cases are investigated. Reduction to singular Sturm–Liouville boundary eigenvalue problems on the half-line is performed. Principal and higher-order surface waves are investigated.

Index Terms: Goubau line, Surface wave, Dispersion equation.


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On a Mathematical Theory of Open Metal–Dielectric Waveguides