Modes on elliptical crosssection dielectrictube waveguides
Abstract
The problem of electromagneticwave propagation along a dielectrictube waveguide of elliptical crosssection is considered. The characteristic equations for odd and even hybrid modes are derived in the form of two infinite determinants, which degenerate to the wellknown characteristic equation for hybrid modes on circular tubes as the eccentricity tends to zero. The characteristics roots are computed for various eccentricities and tube thicknesses. It is found that there exist two dominant modes which possess zero cutoff frequencies. The modes on the elliptical tube waveguide are designated by observing computer plots of the radial variation of the field components. The phase velocity is shown to be dependent more upon dielectric area than eccentricity. Thinwalled tubes exhibit less dispersion while thickwalled guides behave as solid dielectric rods. Experimental results on zeroeccentricity tubes agree well with theory.
 Publication:

IEE Journal of Microwaves Optics and Acoustics
 Pub Date:
 July 1979
 Bibcode:
 1979JMOA....3..147L
 Keywords:

 Dielectrics;
 Electromagnetic Wave Transmission;
 Elliptical Cylinders;
 Optical Waveguides;
 Propagation Modes;
 Cross Sections;
 Eigenvectors;
 Field Mode Theory;
 Frequency Response;
 Integral Equations;
 Phase Velocity;
 Thickness;
 Thin Walled Shells;
 Communications and Radar