Decomposition of the Time Reversal Operator for Electromagnetic Scattering

Tortel, Hervé; Micolau, G.; Saillard, Marc

doi:10.1163/156939399x01113

Cited by 102 publications

(72 citation statements)

References 12 publications

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“…This is why, in a previous paper devoted to the capabilities of D.O.R.T. method in Electromagnetism [Tortel et al, 1999], objects with size up to same order of magnitude as the wavelength have been considered. Our numerical work, based on rigorous computations, has permitted us to evaluate the domain of applicability of the previous results, and to study the influence of the various parameters, including polarization.…”

Section: Introductionmentioning

confidence: 99%

D.O.R.T. method as applied to electromagnetic subsurface sensing

Micolau

Saillard

2003

Radio Science

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[1] The decomposition of the time reversal operator (D.O.R.T.) method allows detection and localization of point-like scatterers through a very simple and robust process. Here, with the aim of applying this method to the detection and the localization of buried objects, we focus on the influence of the restriction of the measurements to a line of receivers. The finite size of the objects is also taken into account, as well as losses in the embedding medium. A simple behavior of the time reversal operator is exhibited, almost independent of the polarization, which permits one to detect scatterers in the resonance domain, with very low ambiguity. Experimental data obtained in an anechoïc chamber confirm our theoretical predictions.

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Section: Introductionmentioning

confidence: 99%

D.O.R.T. method as applied to electromagnetic subsurface sensing

Micolau

Saillard

2003

Radio Science

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“…As for the experimental data in Subsection 6.1, the simulated 18 × 18 data matrix is processed by means of both the LSM and the proposed approach, in particular by Equation (8). Again, the LSM does not retrieve a reliable map (Fig.…”

Section: Assessing Performances Using Unconventional Experiments and mentioning

confidence: 99%

“…Among them, the most popular qualitative approaches are the multiple signal classification (MUSIC) for point-like targets [5][6][7], decomposition of time reversal operator (DORT) and time reversal (TR) based methods for small size objects [8,9], linear sampling method (LSM) [10][11][12], factorization method (FM) [13,14] and point source method [15] for generic scatterers. These methods rely on an indicator function computed on the (properly sampled) imaging domain through an auxiliary linear problem, whose values determine whether the tested point lies inside or outside the scatter.…”

Section: Introductionmentioning

confidence: 99%

Shape Reconstruction via Equivalence Principles,constrained Inverse Source Problems and Sparsity Promotion

Bevacqua¹,

Isernia²

2017

PIER

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Abstract-A new approach for position and shape reconstruction of both penetrable and impenetrable objects from the measurements of the scattered fields is introduced and described. The approach takes advantage of the fact that for perfect electric conductors the induced currents are localized on the boundary, and equivalent sources also placed on the surface of the scatterers can be considered in the case of dielectric targets by virtue of the equivalence theorem. Starting from these considerations, a new inversion approach is formulated in order to retrieve the location and the boundary of unknown objects. Examples with both numerical and experimental data are given to demonstrate and assess the effectiveness of the method.

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“…TRM, which has been demonstrated both theoretically and experimentally in an extensive set of ultrasonic and acoustic literatures [14][15][16][17][18][19][20], as well as in recent electromagnetic studies [21][22][23][24][25][26][27][28], is widely regarded as a powerful tool for imaging, especially in the complex environment. [29] reported a preliminary application of TRM in UWB-TWRI.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of TRM in the Complex Through Wall Environment

Zheng¹,

Zhao

Nie³

et al. 2009

PIER

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Abstract-Practical interests arising from behind-the-wall target detection, surveillance and reconnaissance et al. claim for high capability of imaging in complicated environments. Time Reversal Mirror (TRM) technique, making use of the principle of reciprocity, emerges as a promising way to deal with such complex problem. In this paper, we investigate TRM in the ultra-wideband (UWB) through wall radar imaging (TWRI) through numerical simulation. The probing region is a square room, with walls of rough surface and random media parameters. TRM is used to image the target settled in the room. We evaluate the degradation of the images when the aperture of the array is decreased or the received signals are contaminated by noises. The back projection (BP) algorithm is employed here as a comparison for imaging quality. For the case in which the random walls are changed between the forward and inverse phase of time reversal, we check the imaging stability and applied an averaged Green's function to improve the imaging quality. Finally, some interesting conclusions are drawn.

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Decomposition of the Time Reversal Operator for Electromagnetic Scattering

Cited by 102 publications

References 12 publications

D.O.R.T. method as applied to electromagnetic subsurface sensing

D.O.R.T. method as applied to electromagnetic subsurface sensing

Shape Reconstruction via Equivalence Principles,constrained Inverse Source Problems and Sparsity Promotion

Evaluation of TRM in the Complex Through Wall Environment

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