Cylindrical-Wave Approach for electromagnetic scattering by subsurface metallic targets in a lossy medium

Frezza, Fabrizio; Pajewski, Lara; Ponti, Cristina; Schettini, Giuseppe; Tedeschi, Nicola

doi:10.1016/j.jappgeo.2013.01.004

Cited by 21 publications

(8 citation statements)

References 29 publications

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“…The CWA can be applied for arbitrary values of permittivity, size and position of the targets; it can also be employed to study the scattering of an incident pulsed wave, with a rather general time-domain shape [45]. Recently, the CWA has been extended to take into account the presence of roughness in the interface between air and soil and of losses in the ground; these novelties represent a significant advancement of the method, since they allow to model the environment hosting the cylinders in a more realistic way [46]. As shown in [36] for perfectly conducting cylinders and in [37] for dielectric cylinders, obstacles of general shape can be simulated through the CWA with good results, by using a suitable set of small circular-section cylinders.…”

Section: Numerical Resultsmentioning

confidence: 99%

A SAP-DoA Method for the Localization of Two Buried Objects

Meschino

Pajewski

Schettini

2013

International Journal of Antennas and Propagation

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A localization technique for buried metallic and dielectric objects is proposed and tested. An array of isotropic antennas investigates a scenario with cylindrical targets buried in a dielectric soil. The targets are in the near field of the array, and a Sub-Array Processing (SAP) approach is adopted: the array is partitioned into subarrays, and Direction of Arrival (DoA) algorithms are used to process the electromagnetic field received by each subarray and estimate the dominant arrival direction of the signal. By triangulating all the estimated DoAs, a crossing pattern is obtained. It is filtered by a Poisson-based procedure and subsequently elaborated by the -means clustering method in order to distinguish between targets and background, estimate the number of targets, and find their position. Several simulations have been performed to compare different DoA algorithms and to test the localization method in the presence of two buried cylinders. Different values of the permittivity of the involved dielectric materials have been considered; the target positions and size have also been varied. The proposed procedure can be useful for ground-penetrating radar applications, near-surface probing, and for the detection and localization of defects in a hosting medium.

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Section: Numerical Resultsmentioning

confidence: 99%

A SAP-DoA Method for the Localization of Two Buried Objects

Meschino

Pajewski

Schettini

2013

International Journal of Antennas and Propagation

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“…Similar to (Frezza et al ,), to develop a solution of the CWA in a lossy medium, future work must extend the current analysis in a lossy medium. Moreover, the two‐dimensional field presented in this paper will be the source of a scattering problem by cylinders placed below an arbitrarily rough interface.…”

Section: Discussionmentioning

confidence: 99%

Spectral‐domain solution to the electromagnetic scattering of a two‐dimensional beam by cylinders buried below a flat interface

Fiaz

Frezza²,

Pajewski

et al. 2015

Near Surface Geophysics

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An analytical-numerical approach in the spectral domain is developed for the scattering problem by buried objects excited by a two-dimensional illumination field. The scatterers are perfectly conducting cylinders, which are placed in a semi-infinite medium below a flat interface. The source field is described by an arbitrary illumination function, and it is represented by means of its plane-wave spectrum. The cylindrical-wave approach is applied to represent the fields scattered by the cylinders. All the field contributions are expressed through spectral integrals, which allow to evaluate their interaction with the interface in terms of a superposition of monochromatic plane waves. Such integrals are evaluated in an accurate way, which can lead to results both in near-field and far-field regions. In this paper, the general theoretical approach is described, and numerical results are given for the case of an incident Gaussian beam. Two-dimensional field maps in both the air and lower regions are reported in the case of one and two scatterers. An application of the technique to the diagnostic of reinforced concrete is reported, showing the use of the radar scattering cross-section ratio to determine the size of rebar diameters. Modelling results validate the assumption proposed by other authors that the radar scattering cross-section ratio can be used to determine rebar diameters using the monotonic behaviour observed at lower frequencies.buried objects excited by a two-dimensional illumination field. The scatterers are perfectly conducting\ud cylinders, which are placed in a semi-infinite medium below a flat interface. The source field is\ud described by an arbitrary illumination function, and it is represented by means of its plane-wave\ud spectrum. The cylindrical-wave approach is applied to represent the fields scattered by the cylinders.\ud All the field contributions are expressed through spectral integrals, which allow to evaluate\ud their interaction with the interface in terms of a superposition of monochromatic plane waves.\ud Such integrals are evaluated in an accurate way, which can lead to results both in near-field and\ud far-field regions. In this paper, the general theoretical approach is described, and numerical results\ud are given for the case of an incident Gaussian beam. Two-dimensional field maps in both the air and\ud lower regions are reported in the case of one and two scatterers. An application of the technique to\ud the diagnostic of reinforced concrete is reported, showing the use of the radar scattering cross-section\ud ratio to determine the size of rebar diameters. Modelling results validate the assumption proposed\ud by other authors that the radar scattering cross-section ratio can be used to determine rebar\ud diameters using the monotonic behaviour observed at lower frequencies

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“…Sparse reconstruction algorithms find application in the imaging of targets embedded in stratified dielectric media [38,39]. Moreover, fast and accurate forward solvers [40][41][42][43][44] are of high interest in this area of research, too, because they can be combined with imaging algorithms and full-wave inversion techniques [45,46].…”

Section: Introductionmentioning

confidence: 99%

On the Introduction of Canny Operator in an Advanced Imaging Algorithm for Real-Time Detection of Hyperbolas in Ground-Penetrating Radar Data

et al. 2020

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This paper focuses on the use of the Canny edge detector as the first step of an advanced imaging algorithm for automated detection of hyperbolic reflections in ground-penetrating radar (GPR) data. Since the imaging algorithm aims to work in real time; particular attention is paid to its computational efficiency. Various alternative criteria are designed and examined, to fasten the procedure by eliminating unnecessary edge pixels from Canny-processed data, before such data go through the subsequent steps of the detection algorithm. The effectiveness and reliability of the proposed methodology are tested on a wide set of synthetic and experimental radargrams with promising results. The finite-difference time-domain simulator gprMax is used to generate synthetic radargrams for the tests, while the real radargrams come from GPR surveys carried out by the authors in urban areas. The imaging algorithm is implemented in MATLAB.

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Cylindrical-Wave Approach for electromagnetic scattering by subsurface metallic targets in a lossy medium

Cited by 21 publications

References 29 publications

A SAP-DoA Method for the Localization of Two Buried Objects

A SAP-DoA Method for the Localization of Two Buried Objects

Spectral‐domain solution to the electromagnetic scattering of a two‐dimensional beam by cylinders buried below a flat interface

On the Introduction of Canny Operator in an Advanced Imaging Algorithm for Real-Time Detection of Hyperbolas in Ground-Penetrating Radar Data

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