Inverse Scattering of Inhomogeneous Dielectric Cylinders Buried in a Slab Medium by TE Wave Illumination
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Inverse Scattering of Inhomogeneous Dielectric Cylinders Buried in a Slab Medium by TE Wave IlluminationAbstract
The inverse scattering of inhomogeneous dielectric cylinders buried in a slab medium by transverse electric (TE) wave illumination 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 fields, 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. Good reconstruction is obtained even in the presence of additive Gaussian random noise in measured data. In addition, the effect of noise on the reconstruction result is also investigated.
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References
S. Caorsi, G.L. Gragnani, and M. Pastorino,
“Numerical electromagnetic inverse-scattering
solution for two-dimensional infinite dielectric
cylinders buried in a lossy half-space,” IEEE Trans.
Antennas Propagat., vol. AP-41, pp. 352 - 356, Feb.
C. C. Chiu and Y. M. Kiang, “Inverse scattering of a
buried conducting cylinder,” Inv. Prob., vol. 7, pp.
- 202, April 1991.
C. C. Chiu and C. P. Huang, “Inverse scattering of
dielectric cylinders buried in a half space,”
Microwave and Optical Technology Letters, vol. 13,
pp. 96 - 99, Oct. 1996.
F. Soldovieri and R. Persico, “Reconstruction of an
embedded slab from multifrequency scattered field
data under the distorted born approximation”, IEEE
Trans. Antennas Propagat., vol. 52, pp. 2348 - 2356,
Sept. 2004.
O. M. Bucci, L. Crocco, T. Isernia, and V. Pascazio,
“Inverse scattering problems with multifrequency
data: reconstruction capabilities and solution
strategies,” IEEE Trans. Geoscience and Remote
Sensing, vol. 38, pp. 1749 - 1756, July 2000.
V. A. Mikhnev and P. Vainikainen, “Two-step
inverse scattering method for one-dimensional
permittivity profiles,” IEEE Trans. Antennas
Propagat., vol. 48, pp. 293 - 298, Feb. 2000.
M. M. Ney, A. M. Smith, and S. S. Stuchly, “A
solution of electromagnetic imaging using
pseudoinverse transformation,” IEEE Trans. Med.
Imag., vol. MI-3, pp. 155 - 162, Dec. 1984.
S. Caorsi, G. L. Gragnani, and M. Pastorino, “An
approach to microwave imaging using a multiview
Moment Method solution for a two-dimensional
infinite cylinder,” IEEE Trans. Microwave Theory
and Techniques, vol. MTT-39, pp. 1062 - 1067, June
W. Wang and S. Zhang, “Unrelated illumination
method for electromagnetic inverse scattering of
inhomogeneous lossy dielectric bodies,” IEEE
Trans. Antennas Propagat., vol. AP-40, pp. 1292 -
, Nov. 1992.
K. A. Nabulsi and D. G. Dudley, “A new
approximation and a new measurable constraint for
slab profile inversion,” IEEE Trans. on Geoscience
and Remote Sensing, vol. 34, no. 3, May 1996.
N. Joachimowicz, C. Pichot, and J. P. Hugonin,
“Inverse scattering: an iterative numerical method
for electromagnetic imaging,” IEEE Trans.
Antennas Propagat., vol. AP-39, pp. 1742 - 1752,
Dec. 1991.
G. P. Otto and W. C. Chew, “Inverse scattering of Hz
waves using local shape function imaging: a
T-Matrix formulation,” Int. J. Imaging Syst.
ACES JOURNAL, VOL. 22, NO. 2, JULY 2007300
Technol., vol. 5, pp. 22 - 27, 1994.
C. C. Chiu and P. T. Liu, “Image reconstruction of a
complex cylinder illuminated by TE waves,” IEEE
Trans. Microwave Theory Tech., vol. 44, pp. 1921 -
, Oct. 1996.
C. P. Chou and Y. W. Kiang, “Inverse scattering of
dielectric cylinders by a cascaded TE-TM method,”
IEEE Trans. Microwave Theory and Techniques, pp.
- 1930, vol. 47, Oct. 1999.
C. C. Chiu and C. J. Lin, “Image reconstruction of
buried uniaxial dielectric cylinders,” Journal of
Electromagnetic Waves and Applications, vol. 22,
no. 2, pp. 97 - 112, Feb. 2002.
C. C. Chiu and C. J. Lin, “Image reconstruction of
buried dielectric cylinders by TE wave
illumination,” Journal of Electromagnetic Waves
and Applications, vol. 16, no. 2, pp. 243 - 245, Feb.
B. J. Kooij, “Contrast source inversion of a buried
object in TE-scattering,” Antennas and Propagation
Society International Symposium, vol. 2, pp. 714 -
, June 1998.
J. R. Wait, Electromagnetic Waves in Stratified
Media, Macmillan, New York, 1962.
R. F. Harrington, “Field Computation by Moment
Methods,” New York: Macmillan, 1968.
J. H. Richmond, “TE-wave scattering by a dielectric
cylinder of arbitrary cross-session shape,” IEEE
Trans. Antennas Propagat., vol. 14, pp. 460 - 464,
July 1966.
