Electromagnetic Surface-Wave Propagation along a Dielectric Cylinder of Elliptical Cross Section

Citation

Yeh, Cavour Wei-Hou (1962) Electromagnetic Surface-Wave Propagation along a Dielectric Cylinder of Elliptical Cross Section. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A13E-BB49. https://resolver.caltech.edu/CaltechTHESIS:08182011-142633204

Abstract

The problem of electromagnetic wave propagation along a dielectric cylinder of elliptical cross section is considered. Two infinite determinants representing the characteristic equations for the two types of hybrid waves (the _eHE_(mn) and the _oHE_(mn) waves) are derived. These waves degenerate to the well-known HE_(mn) wave of the circular dielectric rod as the eccentricity of the elliptical rod approaches zero. It is found that there exist two dominant waves which possess zero cutoff frequencies. The characteristic roots of these two dominant waves are computed for various values of eccentricity and relative dielectric constant. Also given are the attenuation characteristics and the field distribution of the dominant modes. It is shown that a flattened dielectric rod supporting the _eHE_(11) wave offers less loss than a circular rod having the same cross-sectional area and supporting the HE_(11) wave. Theoretical propagation characteristics (the guide wavelength, the field distribution and the attenuation constant) of the dominant waves are verified by experiments. The Q's of a dielectric rod cavity resonator supporting the dominant waves are also presented.

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