An inexact-Newton method for short-range microwave imaging within the second-order Born approximation

Estatico, Claudio; Pastorino, Matteo; Randazzo, Andrea

doi:10.1109/tgrs.2005.856631

Cited by 65 publications

(37 citation statements)

References 36 publications

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“…One of the most used approximations is the Born one [104], for which the scattered field due to the targets inside the investigation area is expressed in terms of the incident field only. In some case, the use of the second-order Born approximation has been proposed, too [105]. Also the Rytov approximation, which is applied to the complex phase of the field, has been used [106].…”

Section: Inverse Scattering Approachesmentioning

confidence: 99%

Modelling Scattering of Electromagnetic Waves in Layered Media: An Up-to-Date Perspective

Imperatore

Iodice

Pastorino

et al. 2017

International Journal of Antennas and Propagation

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This paper addresses the subject of electromagnetic wave scattering in layered media, thus covering the recent progress achieved with different approaches. Existing theories and models are analyzed, classified, and summarized on the basis of their characteristics. Emphasis is placed on both theoretical and practical application. Finally, patterns and trends in the current literature are identified and critically discussed.

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Section: Inverse Scattering Approachesmentioning

confidence: 99%

Modelling Scattering of Electromagnetic Waves in Layered Media: An Up-to-Date Perspective

Imperatore

Iodice

Pastorino

et al. 2017

International Journal of Antennas and Propagation

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show abstract

“…In this case, the imaging problem is usually recast as an optimization problem. Newton-like iterative methods [25]- [27] and gradient based solution procedures [28]- [30] are often used in this case. However, such approaches suffer from local minima problems [31], and thus are quite sensitive to the availability of a suitable starting guess.…”

Section: Quantitative Electromagnetic Inversionmentioning

confidence: 99%

Advanced Inversion Techniques for Ground Penetrating Radar

Fedeli¹,

Pastorino²,

Randazzo³

2017

JTIT

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Abstract-Ground Penetrating Radar (GPR) systems are nowadays standard inspection tools in several application areas, such as subsurface prospecting, civil engineering and cultural heritage monitoring. Usually, the raw output of GPR is provided as a B-scan, which has to be further processed in order to extract the needed information about the inspected scene. In this framework, inverse-scattering-based approaches are gaining an ever-increasing interest, thanks to their capabilities of directly providing images of the physical and dielectric properties of the investigated areas. In this paper, some advances in the development of such inversion techniques in the GPR field are revised and discussed.

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“…Several numerical methods, both deterministic and stochastic ones have been devised to solve the above problem (see, for example, [23]- [41] and the references therein). In [42]- [48] the use of the INM has been proposed. The INM solves the nonlinear integral equations in a regularized way by "combined iterative processes with Newton's method as primary method and some, as yet unspecified, secondary method for solving the [obtained] linear systems" [3].…”

Section: Problem Formulationmentioning

confidence: 99%

“…The INM solves the nonlinear integral equations in a regularized way by "combined iterative processes with Newton's method as primary method and some, as yet unspecified, secondary method for solving the [obtained] linear systems" [3]. In particular, the scheme proposed in [42] is an outer/inner iterative algorithm which can be summarized as follows: …”

Section: Problem Formulationmentioning

confidence: 99%

“…Although several interesting results have been obtained by applying the approach in [42] by using both simulated and experimental data (as described in Section 3), the considered version of the algorithm, as most of other regularization methods currently applied in electromagnetic imaging, minimizes the residual function (in Hilbert space)…”

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic Inverse-Scattering Reconstructions by an Inexact Newton Method: Numerical and Experimental Results

Pastorino

2012

J. Phys.: Conf. Ser.

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A two-step iterative inexact-Newton method for electromagnetic imaging of dielectric structures C Estatico, G Bozza, A Massa et al. itAbstract. This paper deals with the inverse scattering problem for electromagnetic imaging. In particular, a reconstruction procedure based on the inexact Newton method is reviewed. A new formulation, developed in the p L functional Banach space, is also considered. Numerical and experimental results recently obtained by using the above mentioned reconstruction methods are discussed with specific reference to nondestructive evaluation of dielectric materials such as plastic and wood.

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An inexact-Newton method for short-range microwave imaging within the second-order Born approximation

Cited by 65 publications

References 36 publications

Modelling Scattering of Electromagnetic Waves in Layered Media: An Up-to-Date Perspective

Modelling Scattering of Electromagnetic Waves in Layered Media: An Up-to-Date Perspective

Advanced Inversion Techniques for Ground Penetrating Radar

Electromagnetic Inverse-Scattering Reconstructions by an Inexact Newton Method: Numerical and Experimental Results

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