Cubic-Spline Expansion for a Conducting Cylinder Buried in a Slab Medium.

This paper presents a computational approach to the imaging of a perfectly conducting cylinder buried in a slab medium. Both cubic-spline method and trigonometric series for shape description are used and compared. We measure the scattered field in the first and third layers. Based on the boundary condition and the recorded scattered field, a set of nonlinear integral equations is derived and the imaging problem is reformulated into an optimization problem. The genetic algorithm is employed to find the global extreme solution of the object function. It is found that the shape described by cubic-spline can be reconstructed. In such a case, Fourier series expansion will fail. Even when the initial guess is far away from the exact one, the cubic-spline expansion and genetic algorithm can avoid the local extreme and converge to a global extreme solution. Numerical results are given to show that the shape description by using cubic-spline method is much better than that by the Fourier series. In addition, the effect of Gaussian noise on the reconstruction is investigated. [ABSTRACT FROM AUTHOR]