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Transmission parameter representation of non-uniform transmission line Green's functions

✍ Scribed by Stephen B. Haley

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
329 KB
Volume
9
Category
Article
ISSN
0098-9886

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✦ Synopsis

Abstract

The Green's function G(x, x') of a non‐uniform transmission line is formulated exactly in terms of partial transmission matrix parameters associated with different segments of the line. Exact differential expressions relate the transmission parameters to each other, and it is shown that G(x, x') can be expressed entirely in terms of a single transmission parameter B(x, x') and its derivatives. The voltage response V(x) on any doubly‐terminated line with arbitrary current source density along the line is given. A new perturbation technique, based on a Volterra integral equation, is developed which determines V(x) in terms of known functions and arbitrary perturbing immittances on the line.

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