
Accession Number : AD0291681
Title : NETWORKS OF TRANSMISSION LINES AND LUMPED REACTANCES
Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y MICROWAVE RESEARCH INST
Personal Author(s) : ANSELL,HENRY GEORGE
Report Date : JUN 1962
Pagination or Media Count : 1
Abstract : Networks combining lossless transmission lines of commensurate lengths with lumped elements, especially lumped reactive elements, are investigated. The properties of the network functions encountered are expressed in terms of properties of associated functions of two independent complex variables. The emphasis is on the lossless driving point impedance and the twovariable reactance property that arises. The study of the twovariable reactance property yields a necessary and sufficient coefficient test for this property. It is found that a given expression can be tested for the twovariable reactance property by a finite number of rational operations on the coefficients of the expression. For screening given expressions for the twovariable reactance property, simple necessary conditions are presented. For generating twovariable reactance functions, simple sufficient conditions are presented. In order to synthesize a given twovariable rational expression, operations corresponding to network extractions are presented. It is also shown that a method of Lunnelli for lumped elements has a generalization for twovariable networks. Examples are given of equivalent twovariable networks, derived by these synthesis techniques. (Author)
Descriptors : *COMPLEX VARIABLES, *ELECTRICAL NETWORKS, *FUNCTIONS(MATHEMATICS), *TRANSMISSION LINES, CAPACITANCE, COMPLEX NUMBERS, ELECTRICAL IMPEDANCE, LOW PASS FILTERS, POLYNOMIALS, SYNTHESIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE