A NONUNIFORMLY DISTRIBUTED PARAMETER MATCHING NETWORK FOR THE MICROWAVE FREQUENCIES

Abstract

A nonuniform section of coaxial transmission line is investigated as an impedance matching network. Assuming that the purity of the dominant transverse electromagnetic (TEM) mode is maintained, the coaxial transformer section proposed is one in which the distributed series inductance and shunt capacitance are prescribed mathematical functions of the axial cylindrical coordinate, that is, the direction of propagation. These variations are expressed as a variable characteristic impedance in the explicit form of a halfperiod cosinusoidal distribution. Starting with the appropriate differential equations for the nonuniform line voltages and currents, the basic Riccati-type differential equation governing the reflection coefficient in a nonuniform section is presented. In a conventional manner, an expression is then developed for the complex reflection coefficient at the input reference plane when the output port is terminated in a matched load. For given ranges in design parameters the magnitude of this integral expression is evaluated for this specific taper-cosinusoidal. The integration was performed on a Burrough's Datatron 205 computer using a Gaussian quadrature technique.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0296954

Entities

People

  • Daniel J. Kenneally

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Accuracy
  • Bandwidth
  • Coefficients
  • Computers
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Film Resistors
  • Films
  • Frequency
  • Gaussian Quadrature
  • Impedance
  • Measurement
  • Standing Waves
  • Transmission Lines
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Microwave Engineering.
  • Phased Array Antenna Design.