volume | PIER Journals

2009-12-16

Subspace-Based Optimization Method for Reconstructing Perfectly Electric Conductors

Xiuzhu Ye,

Dr. Xiuzhu Ye

National University of Singapore

Singapore

Homepage

Xudong Chen,

Professor Xudong Chen

Dept. of Electrical & Computer Engineering

National University of Singapore

Singapore, 117576

Homepage

Yu Zhong,

Dr. Yu Zhong

National University of Singapore

Singapore

Homepage

Krishna Agarwal

Dr. Krishna Agarwal

Dept Elect & Comp Engn

National University of Singapore

Singapore

Homepage

Progress In Electromagnetics Research, Vol. 100, 119-128, 2010

doi:10.2528/PIER09111606

Abstract

Reconstruction of perfectly electric conductors (PEC) with transverse magnetic (TM) illumination by a subspace-based optimization method (SOM) is presented. Apart from the information that the unknown object is PEC, no other prior information such as the number of the objects, the approximate locations or the centers is needed. The whole domain is discretized into segments of current lines. Scatterers of arbitrary number and arbitrary shapes are represented by a binary vector, and the descent method is used to solve the discrete optimization problem. Several numerical simulations are chosen to validate the proposed method. In particular, a combination of a line type object and a rectangular shape object is successfully reconstructed. The subspace-based optimization method for PEC scatterers is found to be more complex than its counterpart for dielectric scatterers.

Citation

Copy Export

Xiuzhu Ye, Xudong Chen, Yu Zhong, and Krishna Agarwal, "Subspace-Based Optimization Method for Reconstructing Perfectly Electric Conductors," Progress In Electromagnetics Research, Vol. 100, 119-128, 2010.
doi:10.2528/PIER09111606

References

1. Chiu, C. and P. Liu, "Image reconstruction of a perfectly conducting cylinder by the genetic algorithm," IEEE Proc. --- Microw. Antennas Propag., Vol. 143, 249-253, 1996.
doi:10.1049/ip-map:19960363

2. Qing, A., "Electromagnetic inverse scattering of multiple two-dimensional perfectly conducting objects by the differential evolution strategy ," IEEE Transactions on Antennas and Propagation, Vol. 51, 1251-1262, 2003.
doi:10.1109/TAP.2003.811492

3. Takenaka, T., Z. Meng, T. Tanaka, and W. Chew, "Local shape function combined with genetic algorithm applied to inverse scattering for strips ," Microwave and Optical Technology Letters, Vol. 16, 337-341, 1997.
doi:10.1002/(SICI)1098-2760(19971220)16:6<337::AID-MOP5>3.0.CO;2-L

4. Meng, Z. Q., T. Takenaka, and T. Tanaka, "Image reconstruction of two-dimensional impenetrable objects using genetic algorithm," Journal of Electromagnetic Waves and Applications, Vol. 13, No. 1, 95-118, 1999.
doi:10.1163/156939399X01654

5. Chen, X., "Application of signal-subspace and optimization methods in reconstructing extended scatterers," J. Opt. Soc. Am., Vol. 26, 1022-1026, 2009.
doi:10.1364/JOSAA.26.001022

6. Zhong, Y. and X. Chen, "Twofold subspace-based optimization method for solving inverse scattering problems," Inverse Problems, Vol. 28, 085003, 2009.
doi:10.1088/0266-5611/25/8/085003

7. Chen, X., "Subspace-based optimization method for solving inverse scattering problems ," IEEE Trans. Geosci. Remote Sens., accepted, 2009.

8. Chen, X. D., "Subspace-based optimization method in electric impedance tomography," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 11-12, 1397-1406, 2009.
doi:10.1163/156939309789476301

9. Chen, X., "Time-reversal operator for a small sphere in electromagneticfields," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 9, 1219-1230, 2007.

10. Peterson, A. F., S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, IEEE Press, New York, 1998.

11. Chew, W. and Y. Wang, "Reconstruction of two-dimensional permittivity distribution using the distorted born iterative method ," IEEE Trans. Med. Imaging, Vol. 9, 218-225, 1990.
doi:10.1109/42.56334