Title :
Notes on lossy transmission lines
Author :
Izydorczyk, Jacek
Author_Institution :
Silesian Univ. of Technol., Gliwice
Abstract :
The purpose of this article is to explain common errors that arise when widely accepted, simplified formulas describing lossy transmission lines are used. These formulas describing lossy transmission lines are expanded in series with respect to the inverse of frequency, under the assumption that the resistance-per-unit-length and conductance-per-unit-length are frequency independent. The source of errors is identified. Commonly used simplifications are Taylor series of various orders. Consequently, the order of the result is a minimal order of simplified formulas used. Correctness of the methodology is illustrated by measurements of coaxial-cable losses.
Keywords :
dielectric losses; series (mathematics); transmission line theory; Taylor series; conductance-per-unit-length; dielectric losses; inverse frequency; lossy transmission line; resistance-per-unit-length; Attenuation; Coaxial cables; Coaxial components; Dielectric loss measurement; Dielectric losses; Frequency; Propagation losses; Taylor series; Transmission line theory; Transmission lines; Taylor series; Transmission line theory; coaxial transmission lines; dielectric losses; electromagnetic engineering education; lossy circuits; lossy media; skin effect;
Journal_Title :
Antennas and Propagation Magazine, IEEE
DOI :
10.1109/MAP.2008.4674745
