ELEMENTARY THEORY OF TRANSMISSION AND REELECTION: FUNDAMENTAL RELATIONS AND GEOMETRY.

Abstract

The concept of linearity and the relations fundamental to transmission and reflection theory are derived from the properties at the terminals of an object, without reference to its interior. The so-called vector diagram of conventional theory is interpreted as a conformal mapping, as a polar plot, and as a linear transformation. Conditions for its exact validity are obtained, as are the errors when the diagram is known to be only approximate. When no approximations are made, different interpretations of the vector diagram lead to different geometrical figures, each of which is investigated in detail. For ease of reference the results are summarized in numbered paragraphs distributed throughout the text. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 20, 1946
Accession Number
AD0636145

Entities

People

  • R. M. Redheffer

Tags

DTIC Thesaurus Topics

  • Cartography
  • Conformal Mapping
  • Geometry
  • Linearity
  • Mathematics
  • Reflection
  • Terminals

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.