Image Reconstruction of Buried Multiple Conductors by Genetic Algorithms

摘要

This paper presents an inverse scattering problem for recovering the shapes of multiple conducting cylinders with the immersed targets in a half-space by genetic algorithm. Two separate perfectly conducting cylinders of unknown shapes are buried in one half-space and illuminated by transverse magnetic (TM) plane wave from the other half-space. Based on the boundary condition and the measured scattered field, a set of nonlinear integral equations are derived, and the electromagnetic imaging problem is reformulated into an optimization problem. The improved steady state genetic algorithm is used to find out the global extreme solution. Numerical results are given to demonstrate the performance of the inverse algorithm. Good reconstruction can be obtained even when the initial guesses are far different from the exact shapes, and then the multiple scattered fields between two conductors are serious. In addition, the effect of Gaussian noise on the reconstruction is investigated. We can find that the effect of noise is negligible for the normalized standard deviations below 0.01.