Abstract
To facilitate the comparison of the steady-state characteristics of different nonuniform lossless lines and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">RC</tex> distributed networks, respectively, two auxiliary functions are introduced. The method is exact insofar as no approximations other than those inherent in the classical telegraphist's equations are made. Several pairs of these functions together with the corresponding series and shunt impedances per unit length <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Z(x)</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Y(x)</tex> , describing nonuniform structures not reported so far, are deduced and these are tabulated along with those representing the well-known exponential, Bessel, and other structures. The technique is applicable to either RC distributed networks or lossless lines, and its use is illustrated by the example of a composite nonuniform matching section having characteristics similar to those of a Gaussian line.
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