The Fundamental Electromagnetic Wave of a Single-Wire Line
in a Weakly Absorbing Medium

Yu. A. Ilarionov, E. A. Bukvarev, I. D. Krotov, and V. I. Naryshkin

Received December 23, 2005

Abstract—An approximate dispersion equation valid over a wide frequency range is obtained from the disper-
sion equation for the symmetric E₀₀ wave (the Sommerfeld wave) propagating along a finite-conductance metal
wire embedded in a lossy dielectric. The boundaries of this frequency range are determined. A technique is
developed for solution of the obtained approximate dispersion equation in the frequency band where the pro-
nounced skin effect is observed. The ratio of the wire radius to the thickness of the skin layer is assumed to be
no less than 10. This technique is applied to calculate the longitudinal and transverse propagation constants for
1.0- and 2.5-mm-radii copper wires over the frequency range 0.5 MHz to 1000 GHz.

PACS numbers: 84.40.Az, 84.40.-x

DOI: 10.1134/S1064226907020039

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