Boundary controllability of Maxwell's equations in a spherical region
Abstract
This paper examines the question of control of electromagnetic fields in a three dimensional spherical region by means of control currents on the boundary of that region. Results of this type are significant in connection with the theory of waveguides, electromagnetic pulse devices, and stealth technology, as well as being of independent mathematical interest. The necessary theory of divergencefree solutions of the vector wave equation is developed. By use of eigenfunctions of the vector Laplacian in appropriate divergencefree domains and moment problem techniques, sufficient conditions for controllability are set forth.
 Publication:

Technical Summary Report Wisconsin Univ
 Pub Date:
 February 1987
 Bibcode:
 1987wisc.rept.....K
 Keywords:

 Boundaries;
 Controllability;
 Electromagnetic Fields;
 Maxwell Equation;
 Spheres;
 Boundary Value Problems;
 Eigenvectors;
 Electromagnetic Pulses;
 Electromagnetic Radiation;
 Hilbert Space;
 Laplace Transformation;
 Moments;
 Vector Currents;
 Wave Equations;
 Waveguides;
 Communications and Radar