Abstract
The image reconstruction of a one-dimensional periodic conductor illuminated by transverse electric (TE) waves is investigated. A periodic conducting cylinder of unknown periodic length and shape scatters the incident TE-wave in free space and the scattered field is recorded outside. 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 optimization problem. The genetic algorithm is then employed to find out the global extreme solution for the cost function. As a result, the periodic length and the shape of the conductor can be obtained. Numerical results are given to demonstrate the capability of the inverse algorithm.