Inverse scattering of an imperfectly conducting cylinder buried in a half-space is presented. A conducting cylinder of unknown shape and conductivity is buried in one half-space and scatters the incident field from another half-space. Based on the measured scattered field and the boundary condition, a set of nonlinear integral equations is derived and the inverse problem is reformulated into an optimization problem. The genetic algorithm is then employed to find the global extreme solution of the object function. As a result, the shape and the conductivity of the scatterer can be reconstructed. Even when the initial guess is far away from the exact one, the genetic algorithm can avoid the local extreme and converge to a global extreme solution. In such a case, the gradient-based method often gets stuck in a local extreme. Numerical results are given to show the effectiveness of the genetic algorithm. Multiple incident directions permit good reconstruction of shape and, to a lesser extent, conductivity in the presence of noise in measured data.
International journal of imaging systems and technology 11(6), pp.355-360