Chi-Hsien Sun1, Ching-Lieh Li1, Chien-Ching Chiu This email address is being protected from spambots. You need JavaScript enabled to view it.1 and Chun Jen Lin1
The electromagnetic imaging of inhomogeneous dielectric cylinders buried in a slab medium is investigated. Dielectric cylinders of unknown permittivities are buried in second space and scattered a group of unrelated waves incident from first space where the scattered field is recorded. By proper arrangement of the various unrelated incident field, the difficulties of ill-posedness and nonlinearity are circumvented, and the permittivity distribution can be reconstructed through simple matrix operations. The algorithm is based on the moment method and the unrelated illumination method. Numerical results are given to demonstrate the capability of the inverse algorithm. They also show that the permittivity distribution of the cylinders can be successfully reconstructed even when the permittivity is fairly large. Good reconstructed results are obtained even in the presence of additive Gaussian noise in measured data. In addition, the effect of noise on the reconstruction result is also investigated.
[1] Omar, A. S. and Akhtar, M. J., “A Generalized Technique for the Reconstruction of Permittivity Profiles With a Controllable Resolution in an Arbitrary Coordinate System,” IEEE Transactions on Antennas and Propagation, Vol. 53, pp. 294304 (2005).
[2] Soldovieri, F. and Persico, R., “Reconstruction of an Embedded Slab from Multifrequency Scattered Field Data under the Distorted Born Approximation,” IEEE Transactions on Antennas and Propagation, Vol. 52, pp. 23482356 (2004).
[3] Mikhnev, V. A. and Vainikainen, P., “ Two-Step Inverse Scattering Method for One-Dimensional Permittivity Profiles,” IEEE Transactions on Antennas and Propagation, Vol. 48, pp. 293298 (2000).
[4] Nabulsi, K. A. and Dudley, D. G., “ANew Approximation and a New Measurable Constraint for Slab Profile Inversion,” IEEE Transactions on Geoscience and Remote Sensing, Vol. 34 (1996).
[5] Lin, Y. S., Chiu, C. C.,“Image Reconstruction for a Perfectly Conducting Cylinder Buried in Slab Medium by a TE Wave Illumination,” Electromagnetics, pp. 203216 (2005).
[6] Lin, C. J., Chou, C. Y. and Chiu, C. C., “Electromagnetic Imaging for a Conducting Cylinder Buried in a Slab Medium by the Genetic Algorithm,” International Journal of Imaging Systems and Technology, Vol. 14 , pp. 17 (2004).
[7] Harrington, R. F., Field Computation by Moment Methods, Macmillan, New York (1968).
[8] Wang, W. and Zhang, S., “Unrelated Illumination Method for Electromagnetic Inverse Scattering of Inhomogeneous Lossy Dielectric Bodies,” IEEE Transactions on Antennas and Propagation, Vol. AP-40, pp. 12921296 (1992).
[9] Wait, J. R., Electromagnetic Waves in Stratified Media, Macmillan, New York (1962).
[10] Chiu, C. C. and Kiang, Y. W., “Inverse Scattering of a Buried Conducting Cylinder,” Inv. Prob., Vol. 7, pp. 187202 (1991).
[11] Ney, M. M., Smith, A. M. and Stuchly, S. S., “A Solution of Electromagnetic Imaging Using Pseudoinverse Transformation,” IEEE Trans. Med. Imag., Vol. MI-3, pp. 155162 (1984).
[12] Richmond, J. H., “Scattering by a Dielectric Cylinder of Arbitrary Cross Section Shape,” IEEE Trans. Antennas Propagat., Vol. 13, pp. 334341 (1965).
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