Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The synthesis of infinite lines

Author: C. B. Sharpe
Journal: Quart. Appl. Math. 21 (1963), 105-120
DOI: https://doi.org/10.1090/qam/153299
MathSciNet review: 153299
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Abstract | References | Additional Information

Abstract: The class of nonuniform lines having solutions which exhibit an out-going wave behavior at infinity and which have a rational input admittance is considered. Necessary and sufficient conditions are given for a rational function to be realizable as the input admittance of an infinite line. A closed-form expression is derived by means of which the characteristic impedance $ {Z_0}\left( x \right)$ of a line in this class can be constructed from its input admittance. It is shown that this solution to the synthesis problem is unique once the limiting value of $ {Z_0}\left( x \right)$ at infinity or at the input is specified. An example in the application of the technique is presented.

References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/153299
Article copyright: © Copyright 1963 American Mathematical Society

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