Reconstruction of three-dimensional objects in layered media: numerical experiments

We have developed a fully three-dimensional electromagnetic inverse scattering technique in a multilayered medium via the contrast source inversion. The key issues on the three-dimensional (3-D) forward and adjoint operations related to the dyadic Green's operators are briefly addressed to ensure the efficient performance of the algorithm in layered media. It is shown that it is feasible to achieve good reconstruction quality with only a few sources and a two-dimensional receiver array, provided that the signal-to-noise ratio is adequate. The effects of the interface and of the uncertainty in the background layered medium are illustrated in the simulation. The developed 3-D electromagnetic inverse scattering technique can be effectively applied to surface ground penetrating radar survey in multilayered media.

[1]  P. M. Berg,et al.  The three dimensional weak form of the conjugate gradient FFT method for solving scattering problems , 1992 .

[2]  Alan Witten,et al.  Diffraction tomographic imaging in a monostatic measurement geometry , 1993, IEEE Trans. Geosci. Remote. Sens..

[3]  P. M. Berg,et al.  A contrast source inversion method , 1997 .

[4]  K. Michalski,et al.  Multilayered media Green's functions in integral equation formulations , 1997 .

[5]  P. M. Berg,et al.  Nonlinear inversion in TE scattering , 1998 .

[6]  Aria Abubakar,et al.  Three‐dimensional nonlinear inversion in cross‐well electrode logging , 1998 .

[7]  Weng Cho Chew,et al.  Fast algorithm for electromagnetic scattering by buried 3-D dielectric objects of large size , 1999, IEEE Trans. Geosci. Remote. Sens..

[8]  P. M. Berg,et al.  Extended contrast source inversion , 1999 .

[9]  Weng Cho Chew,et al.  Novel diffraction tomographic algorithm for imaging two-dimensional targets buried under a lossy Earth , 2000, IEEE Trans. Geosci. Remote. Sens..

[10]  Peter Meincke,et al.  Linear GPR inversion for lossy soil and a planar air-soil interface , 2001, IEEE Trans. Geosci. Remote. Sens..

[11]  Qing Huo Liu,et al.  Two nonlinear inverse methods for electromagnetic induction measurements , 2001, IEEE Trans. Geosci. Remote. Sens..

[12]  D. Lesselier,et al.  Eddy-current evaluation of three-dimensional defects in a metal plate , 2002 .

[13]  Q.H. Liu,et al.  The BCGS-FFT method for electromagnetic scattering from inhomogeneous objects in a planarly layered medium , 2002, IEEE Antennas and Wireless Propagation Letters.

[14]  W. Clem Karl,et al.  Multifrequency subsurface sensing in the presence of a moderately rough air–soil interface via quasi‐ray Gaussian beams , 2002 .

[15]  S. Berg.  Modelling and Inversion of Pulsed Eddy Current Data , 2003 .

[16]  Qing Huo Liu,et al.  A fast volume integral equation solver for electromagnetic scattering from large inhomogeneous objects in planarly layered media , 2003 .

[17]  Qing Huo Liu,et al.  Microwave breast imaging: 3-D forward scattering simulation , 2003, IEEE Transactions on Biomedical Engineering.

[18]  P. M. van den Berg,et al.  TWO- AND THREE-DIMENSIONAL ALGORITHMS FOR MICROWAVE IMAGING AND INVERSE SCATTERING , 2003 .

[19]  Qing Huo Liu,et al.  Three-dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods , 2004, IEEE Geosci. Remote. Sens. Lett..

[20]  Qing Huo Liu,et al.  Simulation of near-surface detection of objects in layered media by the BCGS-FFT method , 2004, IEEE Trans. Geosci. Remote. Sens..

[21]  Qing Huo Liu,et al.  Three-dimensional nonlinear image reconstruction for microwave biomedical imaging , 2004, IEEE Transactions on Biomedical Engineering.