Geometrical and Topological Methods in Time Domain Antenna Synthesis

Abstract

The nonlinear version of Lorentz Reciprocity cannot be articulated in terms of frequency domain concepts. Similarly, the fact that a Fourier Transform relates an antenna's far field to its sources cannot be used to explain why electromagnetic bullets or missiles cannot exist since, by construction, there is no far field for a bullet. Over the last year it has become clear that one has to deal with Maxwell's Equations as a system of hyperbolic p.d.e.'s and avoid the temptation of using elliptic theory which is applicable when taking a Fourier Transform (as engineers are trained to do) and playing with Helmholtz's equation. The way to achieve these goals is to reexamine the 'raison d'etre' for the use of the Radon transform in these hyperbolic problems.

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Document Details

Document Type
Technical Report
Publication Date
Apr 30, 1994
Accession Number
ADA284208

Entities

People

  • P. R. Kotiuga

Organizations

  • Boston University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Biomedical
  • C4I

DTIC Thesaurus Topics

  • Algebraic Topology
  • Calculus Of Variations
  • Construction
  • Electromagnetic Fields
  • Engineering
  • Equations
  • Far Field
  • Geometric Forms
  • Inverse Problems
  • Lines (Geometry)
  • Magnetic Fields
  • Mathematics
  • Square Roots
  • Theorems
  • Three Dimensional
  • Time Domain
  • Topology

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Strategic Security Studies