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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 11, November 2000

Electromagnetic Imaging for an Imperfectly Conducting Cylinder by the Genetic Algorithm

Page 1901.

Abstract:

This paper presents a computational approach to the imaging of an imperfectly conducting cylinder by the genetic algorithm (GA). A conducting cylinder of unknown shape and conductivity scatters the incident 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 GA is then employed to find out the global extreme solution of the cost function. Numerical results demonstrated that, even when the initial guess is far away from the exact one, good reconstruction has been obtained. In such a case, the gradient-based methods often get trapped in a local extreme. In addition, the effect of Gaussian noise on the reconstruction results is investigated. Numerical results show that multiple incident directions permit good reconstruction of shape and, to a lesser extent, conductivity in the presence of noise in measured data.

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