THE SCATTERING APPROACH TO THE SYNTHESIS OF NONUNIFORM LINES

Abstract

The analysis of a nonuniform transmission line is formulated as a one-dimensional scattering problem by transforming the transmission line equations into an integral equation. Approximate solutions of the integral equation for the input reflection coefficient of a nonuniform line terminated in an arbitrary impedance are obtained by employing the Neumann and Fredholm series expansions. Two examples in the application of these solutions are given. It is shown that the Fredholm solution leads to Orlov's synthesis formula by means of which the impedance variation of a nonuniform line can be calculated in terms of the input and output reflection coefficients. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1961
Accession Number
AD0258342

Entities

People

  • C.b. Sharpe

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Equations
  • Impedance
  • Integral Equations
  • Integrals
  • Mathematics
  • Nonuniform
  • Reflection
  • Scattering
  • Transmission Lines

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Microwave Engineering.