**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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