Propagator matrices in the solution of EMP problems
Abstract
In this work, the complete set of boundary conditions for the electric and magnetic fields at infinity, between the air and the Earth's surface, and between the air and the perfectly conducting plasma close to the explosion site are derived. The field equations, source functions and boundary conditions are written in terms of spheroidal and torsional vector fields. It is shown that, in this form, a propagator matrix formalism which automatically guarantees that all boundary conditions are satisfied can be developed to solve the equations for the electric and magnetic fields. The propagator matrix formalism developed in this work is applied to the numerical solution of Maxwell's equations for the electric and magnetic fields for the case of a typical explosion. It is found that the boundary conditions along the surface of the Earth impose consistency conditions which must be satisfied by the individual multipoles of the fields, as well as by the source current densities produced by the original explosion. Values are obtained for the electric and magnetic fields and compared with experimental results.
 Publication:

Fifth Army Conference on Applied Mathematics and Computing
 Pub Date:
 March 1988
 Bibcode:
 1988apmc.conf..475H
 Keywords:

 Earth Surface;
 Electric Fields;
 Electromagnetic Pulses;
 Explosions;
 Magnetic Fields;
 Wave Propagation;
 Air;
 Earth Atmosphere;
 Lightning;
 Maxwell Equation;
 Vectors (Mathematics);
 Communications and Radar