GENERALIZED CONFLUENT HYPERGEOMETRIC AND HYPERGEOMETRIC TRANSMISSION LINES

被引：13
|
作者：
WESTCOTT, BS
机构：
[1] Department of Mathematics, Southampton University, Southampton, Hampshire
来源：
IEEE TRANSACTIONS ON CIRCUIT THEORY | 1969年 / CT16卷 / 03期
关键词：
D O I：
10.1109/TCT.1969.1082981
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A proliferation of exact closed-form solutions of the telegrapher's equation Vxx — ZxZ-1Vx — kZ Y V = 0 for the voltage V(x) in an RC or lossless transmission line, with distributed series impedance Z(x) and shunt admittance Y(x), respectively, have emerged in recent years. Generalizations of known solutions have been constructed, sometimes using ad hoc methods. A systematic method is described for deriving exact solutions in terms of standard transcendental functions, which yields far more general profiles for Z(x), Y(x), ot Z(x)/Y(x) than previously given. Examples of the procedure are given based upon Bessel's, Whittaker's, and the hypergeometric equation, and previously derived profiles emerge as special cases of the analysis. © 1961, IEEE. All Rights Reserved.
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页码：289 / &
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