A maximum entropy solution for the underdetermined electromagnetic field within a volume
Abstract
We wish to estimate the sinusoidal electric field within a volume V (sub c), subject to constraints of measured electric field at certain points and zero tangential electric field at others. The field is expanded in a set of K solenoidal and perhaps irrotational modes with unknown amplitudes, defined within the convenient dashed volume V (sub e). Since the number of complex data in the three spatial directions, considerably less than the number of complex amplitudes K, this is an underdetermined problem. We present its Gibbs Maximum Entropy (GME) solution.
 Publication:

Presented at the IEEE Antennas and Propagation International Symposium
 Pub Date:
 February 1988
 Bibcode:
 1988ieee.sympR....B
 Keywords:

 Electromagnetic Fields;
 Maximum Entropy Method;
 Volume;
 Constraints;
 Electric Fields;
 GibbsHelmholtz Equations;
 Sine Waves;
 Communications and Radar