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Transmission parameter representation of non‐uniform transmission line Green's functions
Author(s) -
Haley Stephen B.
Publication year - 1981
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490090105
Subject(s) - transmission line , line (geometry) , mathematical analysis , electric power transmission , matrix (chemical analysis) , transmission (telecommunications) , telegrapher's equations , function (biology) , mathematics , physics , computer science , telecommunications , geometry , materials science , electrical engineering , composite material , evolutionary biology , biology , engineering
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.