An Introduction to the Use of the Scattering Matrix in Network Theory

Abstract

The general algebraic properties of scattering parameters are discussed with respect to their application to lumped, linear, reciprocal networks. A basic definition is given for the reflection factor of a two terminal network and this is then extended to n-terminal pair networks where the relevant descriptive tool is the scattering matrix. The normalisation of the scattering matrix is presented and power transfer through n-ports,and the properties of maximum output and biconjugate networks are shown to be simply described in terms of this normalised scattering matrix. A final section discusses the basis for applying the scattering formalism to network synthesis in the frequency domain by giving fundamental network realizability theorems in terms of the scattering matrix.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1954
Accession Number
AD0036786

Entities

People

  • Herbert J. Carlin

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Circuits
  • Coefficients
  • Contractors
  • Equations
  • Frequency
  • Impedance
  • Military Research
  • Near Infrared Radiation
  • Network Science
  • Networks
  • Resistance
  • Scattering
  • Standing Wave Ratios
  • Standing Waves
  • Theorems
  • Transmission Lines

Readers

  • Linear Algebra
  • Radar Systems Engineering.
  • Theoretical Analysis.