Lagrange's Equations for a Dissipative Uniform Transmission Line

Abstract

Complex constitutive system parameters are used to derive the form of Lagrange's equations for a non-conservative continuous system with a steady- state sinusoidal excitation. The resulting form of Lagrange's equations, for the case of a dissipative uniform transmission line, is shown to yield the well- known results derivable from the telegrapher's equations. The concept of time- averaged Lagrangian density is introduced, including the correct form for the time-averaged energy density dissipation function. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1991
Accession Number
ADA239285

Entities

People

  • Melvin M. Weiner

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Calculus
  • Calculus Of Variations
  • Charge Density
  • Coordinate Systems
  • Electricity
  • Electromagnetic Fields
  • Electromagnetic Radiation
  • Equations
  • Geometry
  • Radar
  • Radiation
  • Steady State
  • Transmission Lines
  • Wave Propagation
  • Waveforms
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics