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A generalized Smith chart for an exponential tapered nonuniform transmission line
Author(s) -
Urbani F.,
Vegni L.,
Toscano A.
Publication year - 1997
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(199701)14:1<36::aid-mop11>3.0.co;2-a
Subject(s) - tapering , transmission line , smith chart , electrical impedance , exponential function , chart , line (geometry) , characteristic impedance , mathematical analysis , electric power transmission , input impedance , transmission (telecommunications) , representation (politics) , mathematics , computer science , impedance matching , telecommunications , electrical engineering , engineering , geometry , statistics , politics , law , political science , computer graphics (images)
In this article we solve the partial differential equations for a nonuniform transmission line (NUTL) with the use of an analytical method different with respect to Kuroda's identities. First we find the solution, in terms of voltage and current waves: then we find the expression of input impedance that allows us to find the R = const and X = const loci. In particular the solution is found for an exponential NUTL. We find the correspondent representation of the Smith chart. The NUTL has more advantages with respect to the uniform one. In fact, we can use the generalized Smith chart to solve easily the problem of a NUTL loaded by a complex impedance. Moreover, we can use the NUTL to match lines with different sections and to model multilayered semiconductor structures. Finally, we show the input impedance behavior for an exponentially tapered NUTL versus the length of the line and the load impedance, when the tapering factor is varying.© 1997 John Wiley & Sons, Inc.