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Imaging of buried objects from experimental backscattering time\n dependent measurements using a globally convergent inverse algorithm

2014/06/13 by Nguyễn Trung Thành, Larisa Beilina, Thành, Nguyen Trung +5 · 2 citations
Engineering · #35L05 #35R30 #78A46 #FOS: Physical sciences #Geophysical Methods and Applications #Mathematical Physics (math-ph) #Microwave Imaging and Scattering Analysis #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.1406.3500

openalex publication_date 2014/06/13 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We consider the problem of imaging of objects buried under the ground using\nbackscattering experimental time dependent measurements generated by a single\npoint source or one incident plane wave. In particular, we estimate dielectric\nconstants of those objects using the globally convergent inverse algorithm of\nBeilina and Klibanov. Our algorithm is tested on experimental data collected\nusing a microwave scattering facility at the University of North Carolina at\nCharlotte. There are two main challenges working with this type of experimental\ndata: (i) there is a huge misfit between these data and computationally\nsimulated data, and (ii) the signals scattered from the targets may overlap\nwith and be dominated by the reflection from the ground's surface. To overcome\nthese two challenges, we propose new data preprocessing steps to make the\nexperimental data to be approximately the same as the simulated ones, as well\nas to remove the reflection from the ground's surface. Results of total 25 data\nsets of both non blind and blind targets indicate a good accuracy.\n

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