Target reconstruction from scattered far field data
Abstract
The problem of finding the shape of a perfectly conducting cylinder when illuminated by an Epolarized incident electromagnetic wave is considered. This problem is cast in the form of a penalized optimization problem in which a surface in some suitably constrained class which minimizes a functional involving two terms is sought. The first term measures the meansquare deviation of the far field of the solution to the direct scattering problem for a surface in the admissible class from given, measured, farfield data, while the second term, the penalty, measures the errors in satisfying the imposed boundary conditons. An optimization algorithm is used which does not require that a direct problem be solved in the updating process. Explicit reconstructions are presented which illustrate the effectiveness of the method.
 Publication:

Annales des Telecommunications
 Pub Date:
 October 1989
 Bibcode:
 1989AnTel..44..456A
 Keywords:

 Cylindrical Waves;
 Far Fields;
 Galerkin Method;
 Image Reconstruction;
 Target Recognition;
 Boundary Value Problems;
 Optimization;
 Polar Coordinates;
 Polarized Electromagnetic Radiation;
 Communications and Radar