Inverse scattering of a two-dimensional periodic conductor

The image reconstruction of a two-dimensional periodic conductor by the genetic algorithm is investigated. A periodic conducting cylinder of unknown periodic length and shape scatters the incident wave in free space and the scattered field is recorded outside. Based on the boundary condition and measured scattered field, a set of nonlinear integral equations is derived and the imaging problem is reformulated into an optimization problem. The genetic algorithm is then employed to find out the global extreme solution of the cost function. As a result, the shape and the periodic length of the conductor can be obtained. Numerical results are given to demonstrate that even in the presence of noise, good reconstruction has been obtained.