DocumentCode :
1175340
Title :
Self-similar solution of distributed linear and nonlinear networks
Author :
Lonngren, Karl E. ; Hsuan, H. C S ; Malik, Norbert R. ; Shen, Hayley
Volume :
22
Issue :
11
fYear :
1975
fDate :
11/1/1975 12:00:00 AM
Firstpage :
882
Lastpage :
886
Abstract :
The method of "self-similar solution of partial differential equations" is introduced and applied to the distributed RGC network. For linear networks convolution integrals, 
and 
are obtained where 
and 
are, respectively, the responses to the 
function voltage and current sources found and from the self-similar analysis, and 
and 
are arbitrary voltage and current sources. For certain sources, these integrals have been performed and the results will be presented. The technique is also successfully applied to nonlinear networks which are useful in modeling various microelectronic circuit components.
and are obtained where and are, respectively, the responses to the function voltage and current sources found and from the self-similar analysis, and and are arbitrary voltage and current sources. For certain sources, these integrals have been performed and the results will be presented. The technique is also successfully applied to nonlinear networks which are useful in modeling various microelectronic circuit components.Keywords :
Distributed networks; Nonlinear networks; Nonlinear transmission lines; Boundary conditions; Capacitance; Differential equations; Distributed parameter circuits; Microelectronics; Partial differential equations; Physics; Plasmas; Transmission line theory; Voltage;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1975.1083992
Filename :
1083992
Link To Document :
