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2004-06-22
Electromagnetic Imaging for an Imperfectly Conducting Cylinder Buried in a Three-Layer Structure by the Genetic Algorithm
By
, Vol. 48, 27-44, 2004
Abstract
The imaging of an imperfectly conducting cylinder buried in a three-layer structure by the genetic algorithm is investigated. An imperfectly conducting cylinder of unknown shape and conductivity buriedin the secondla yer scatters the incident wave from the first layer or the thirdla yer. We measure the scatteredfieldin the first andthird layers. Based on the boundary condition and the recorded scattered field, a set of nonlinear integral equations is derived and the imaging problem is reformulatedin to an optimization problem. The genetic algorithm is then employedto findout the global extreme solution of the cost function. Numerical results demonstrated that, even when the initial guess is far away from the exact one, goodreconstruction can be obtained. In such a case, the gradient-based methods often get trapped in a local extreme. In addition, the effect of uniform noise on the reconstruction is investigated.
Citation
Yu-Shu Lee Chien-Ching Chiu Yi-Shiuan Lin , "Electromagnetic Imaging for an Imperfectly Conducting Cylinder Buried in a Three-Layer Structure by the Genetic Algorithm," , Vol. 48, 27-44, 2004.
doi:10.2528/PIER03120304
http://www.jpier.org/PIER/pier.php?paper=0312034
References

1. Roger, A., "Newton-Kantorovitch algorithm appliedto an electromagnetic inverse problem," IEEE Trans. Antennas Propagat., Vol. AP-29, No. 3, 232-238, 1981.
doi:10.1109/TAP.1981.1142588

2. Tobocman, W., "Inverse acoustic wave scattering in two dimensions from impenetrable targets," Inverse Problems, Vol. 5, No. 12, 1131-1144, 1989.
doi:10.1088/0266-5611/5/6/018

3. Chiu, C. C. andY. W. Kiang, "Electromagnetic imaging for an imperfectly conducting cylinders," IEEE Trans. Microwave Theory Tech., Vol. 39, No. 9, 1632-1639, 1991.
doi:10.1109/22.83840

4. Colton, D. andP . Monk, "A novel methodfor solving the inverse scattering problem for time-harmonic acoustic waves in the resonance region II," SIAM J Appl. Math., Vol. 46, No. 6, 506-523, 1986.
doi:10.1137/0146034

5. Kirsch, A., R. Kress, P. Monk, and andA. Zinn, "Two methods for solving the inverse acoustic scattering problem," Inverse Problems, Vol. 4, No. 8, 749-770, 1988.
doi:10.1088/0266-5611/4/3/013

6. Hettlich, F., "Two methods for solving an inverse conductive scattering problem," Inverse Problems, Vol. 10, 375-385, 1994.
doi:10.1088/0266-5611/10/2/012

7. Kleiman, R. E. and P. M. van den Berg, "Two-dimensional location andshap e reconstruction," Radio Sci., Vol. 29, No. 7, 1157-1169, 1994.
doi:10.1029/93RS03445

8. Xiao, F. andH. Yabe, "Microwave imaging of perfectly conducting cylinders from real data by micro genetic algorithm coupled with deterministic method," IEICE Trans. Electron., Vol. E81-c, No. 12, 1784-1792, 1998.

9. Chiu, C. C. andW. T. Chen, "Electromagnetic imaging for an imperfectly conducting cylinder by the genetic algorithm," IEEE Trans. Microwave Theory and Tec., Vol. 48, No. 11, 1901-1905, 2000.
doi:10.1109/22.883869

10. Goldgerg, D. E., Genetic Algorithm in Search, Optimization and Machine Learning, Addison-Wesley, 1989.

11. Rahmat-Samiia, Y. andE. Michielessen, Electromagnetic Optimization by Genetic Algorithms, Wiley Interscience, 1999.

12. Vavak, F. andT. C. Fogarty, Comparison of steady state andgenerational genetic algorithms for use in nonstationary environments, Proceedings of IEEE International Conference on Evolutionary Computation, 192-195, 1996.

13. Johnson, J. M. andY. Rahmat-Samii, "Genetic algorithms in engineering electromagnetics," IEEE Trans. Antennas Propagat., Vol. 39, No. 8, 7-21, 1997.

14. Tesche, F. M., "On the inclusion of loss in time domain solutions of electromagnetic interaction problems," IEEE Trans. Electromagn. Compat., Vol. 32, 1-4, 1990.
doi:10.1109/15.45244

15. Jordan, E. C. and K. G. Balmain, Electromagnetic Waves and Radiating Systems, Prentice-Hall, EnglewoodCliffs, NJ, 1968.