Image reconstruction of a perfectly conducting cylinder by the genetic algorithm

The paper presents a computational approach to reconstruct the shape of a perfectly conducting cylinder. Based on the boundary condition and the measured scattered field, a set of nonlinear integral equations is derived and the imaging problem is reformulated into an optimum one. By using the genetic algorithm, the shape of the object can be reconstructed. The genetic algorithm will always converge to a global extreme solution no matter what the initial estimate. Numerical results are given to demonstrate that, even when the initial guess is far away from the exact one, good reconstruction has been obtained. In such a case, the calculus-based method often becomes trapped in a local extreme.