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 partial differential equations 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.
 Publication:

Final Report
 Pub Date:
 April 1994
 Bibcode:
 1994bu...rept.....K
 Keywords:

 Antenna Radiation Patterns;
 Electromagnetic Missiles;
 Electromagnetic Properties;
 Hyperbolic Differential Equations;
 Maxwell Equation;
 Partial Differential Equations;
 Far Fields;
 Fourier Transformation;
 Helmholtz Equations;
 Nonlinear Systems;
 Communications and Radar