Self-similar solution of distributed linear and nonlinear networks

Author

Lonngren, Karl E. ; Hsuan, H. C S ; Malik, Norbert R. ; Shen, Hayley

Volume

Issue

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, $V(x,t) = V_{\\delta } \\times V_{source}$ and $V(x,t) = V_{\\delta \´} \\times I_{source}$ are obtained where $V_\\delta$ and $V_\\delta \´$ are, respectively, the responses to the $\\delta$ function voltage and current sources found and from the self-similar analysis, and $V_source$ and $I_{source} \\propto \\partial V_{source}/\\partial x$ 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

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1175340