Abstract
Analytical hybrid-mode dispersion relations of a lossy coaxial waveguide were rigorously analyzed using a mode-matching technique. In order to model a practical coaxial line with inevitable losses, we adopted an all-dielectric coaxial waveguide surrounded by the perfect electric conductor (PEC) boundary. The rigorous dispersion characteristics of the TM<sub>01</sub>, TE<sub>01</sub>, and EH<sub>11</sub> modes were investigated for lossy coaxial waveguides filled with different electrical conductivities. Based on the exact solutions, approximate but accurate dispersion equations were proposed for the TM<sub>0<i>p</i></sub>, TE<sub>0<i>p</i></sub> , EH<sub><i>mp</i></sub>, and HE<sub><i>mp</i></sub> modes in order to estimate and compare the behaviors of complex propagation constants in the microwave and visible spectra.
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