Journal Article10.1088/0266-5611/13/1/004
Diffraction tomography for multi-monostatic ground penetrating radar imaging
Ross Deming,Anthony J. Devaney +1 more
TL;DR: In this paper, a generalized diffraction tomographic (DT) algorithm is derived for subsurface imaging from multifrequency multi-monostatic ground penetrating radar (GPR) data.
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Abstract: A generalized diffraction tomographic (DT) algorithm is derived for subsurface imaging from multifrequency multi-monostatic ground penetrating radar (GPR) data. The algorithm is based on the Born approximation for vector electromagnetic scattering and incorporates realistic nearfield models for the receiving and transmitting antennas. The forward scattering model is inverted analytically using the regularized pseudoinverse operator to yield an algorithm for imaging the underground region based on scattered field measurements at a set of receiving antennas. Whereas the usual inversion algorithms of DT require a lossless background medium and ideal point sources and receivers, the algorithm described here allows an attenuating background and arbitrary transmitting and receiving antennas. The algorithm places no restrictions on the radar frequency, and can thus include shallow imaging applications where the wavelengths are on the same order as the depth of buried objects of interest. Versions of the algorithm are given for both the three dimensional and the 2.5-dimensional cases. Results are given of computer simulations designed to test the algorithm.
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Citations
Inversion scheme for ground penetrating radar that takes into account the planar air-soil interface
T.B. Hansen,P.M. Johansen +1 more
TL;DR: A three-dimensional diffraction-tomography inversion scheme that takes into account the planar air-soil interface is derived for fixed-offset ground penetrating radar (GPR).
202
Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method
TL;DR: An efficient inverse-scattering algorithm is developed to reconstruct both the permittivity and conductivity profiles of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method.
201
Linear GPR inversion for lossy soil and a planar air-soil interface
TL;DR: A three-dimensional inversion scheme for fixed-offset ground penetrating radar (GPR) is derived that takes into account the loss in the soil and the planar air-soil interface.
Diffraction tomographic algorithm for the detection of three-dimensional objects buried in a lossy half-space
Tie Jun Cui,Weng Cho Chew +1 more
TL;DR: In this article, a diffraction tomographic (DT) algorithm has been proposed for detecting 3D dielectric objects buried in a lossy ground, using electric dipoles or magnetic dipoles as transmitter and receiver, where the air-earth interface has been taken into account and the background is lossy.
125
Three-Dimensional Real-Time Through-the-Wall Radar Imaging With Diffraction Tomographic Algorithm
Wenji Zhang,Ahmad Hoorfar +1 more
TL;DR: The spectral expansion of the three-layered medium dyadic Green's function is employed to derive a linear relationship between the spatial Fourier transforms of the image and the scattered field under Born approximation and the image can be efficiently reconstructed with inverse fast Fourier transform (IFFT).
106
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Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
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