The linear sampling method in inverse electromagnetic scattering theory

Colton, David; Haddar, Houssem; Piana, Michele

doi:10.1088/0266-5611/19/6/057

Cited by 299 publications

(268 citation statements)

References 51 publications

(79 reference statements)

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“…In the case of using optimization approaches based on minimizing an error function, the process starts with an initial guess and is optimized during iteration stages. Since in each stage the scattering problem must be solved, nonlinear optimization is slower, but has greater accuracy and quality of imaging than weak scattering approximation [6,7]. Other examples of these two quantitative methods are the modified gradient method [3], the distorted Born approximation [8,9], the contrast source method [10], the subspace optimization method [11], and the least square optimization method [12,13].…”

Section: Introductionmentioning

confidence: 99%

Frequency and Polarization-Diversified Linear Sampling Methods for Microwave Tomography and Remote Sensing Using Electromagnetic Metamaterials

et al. 2017

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Metamaterial leaky wave antennas (MTM-LWAs), one kind of frequency scanning antennas, exhibit frequency-space mapping characteristics that can be utilized to obtain a sufficient field of view (FOV) and reconstruct shapes in both remote sensing and microwave imaging. In this article, we utilize MTM-LWAs to conduct a spectrally encoded three-dimensional (3D) microwave tomography and remote sensing that can reconstruct conductive targets with various dimensions. In this novel imaging technique, we employ the linear sampling method (LSM) as a powerful and fast reconstruction approach. Unlike the traditional LSM using only one single frequency to illuminate a fixed direction, the proposed method utilizes a frequency scanning MTM antenna array able to accomplish frequency-space mapping over the targeted 3D background that includes unknown objects. In addition, a novel technique based on a frequency and polarization hybrid method is proposed to improve the shape reconstruction resolution and stability in ill-posed inverse problems. Both simulation and experimental results demonstrate the unique advantages of the proposed LSM using MTM-LWAs with frequency and polarization diversity as an efficient 3D remote sensing and tomography scheme.

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Section: Introductionmentioning

confidence: 99%

Frequency and Polarization-Diversified Linear Sampling Methods for Microwave Tomography and Remote Sensing Using Electromagnetic Metamaterials

et al. 2017

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“…To this end the Linear Sampling Method (LSM) is applied to the measured data [3,4]. The LSM solves a linear ill-posed problem to determine the support of the scatterer.…”

Section: Linear Samplingmentioning

confidence: 99%

“…The evaluation of this cost function and its derivatives is very efficient due to the use of an analytical forward model that explicitely uses the facts that the bars have a circular cross-section and can be modeled as perfectly electrically conducting (PEC) at microwave frequencies. To avoid the pitfall of multiple local minima of the cost function, the Linear Sampling Method (LSM) [3,4] is used as a preprocessing step that finds a good initial estimate for the optimization algorithm. The resulting method is robust and provides quasi-realtime reconstructions of the reinforcement bars.…”

Section: Introductionmentioning

confidence: 99%

2-D real-time quantitative microwave imaging of reinforcement bars: simulations and experiments

Zaeytijd

Maes

Franchois

2007

2007 International Conference on Electromagnetics in Advanced Applications

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-This paper treats the non-destructive localisation of reinforcement bars. It introduces a quantitative algorithm using a Gauss-Newton-type optimization to determine the radius and position of one reinforcement bar in a homogeneous medium from data collected with a bi-static linear measurement setup. The use of the Linear Sampling method as a preprocessing step and a fast analytical 2D model for the direct problem results in a robust and quasi-realtime microwave imaging system. Reconstructions from both simulated and experimental data are presented.

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“…In this paper, we propose a novel adaptive focusing strategy based on the linear sampling method (LSM) [12,13].…”

Section: Introductionmentioning

confidence: 99%

An Adaptive Method to Focusing in an Unknown Scenario

Crocco¹,

Donato²,

Iero³

et al. 2012

PIER

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Abstract-The problem of field focusing onto a target location in an unknown scenario is considered. In particular, we devise an adaptive procedure in which first an image of the unknown region where the target point is located is formed via the linear sampling method (LSM). Then, the LSM result is used also to define the excitations coefficients for the array elements needed to focus the field. This novel approach to focusing is described and tested with numerical examples.

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The linear sampling method in inverse electromagnetic scattering theory

Cited by 299 publications

References 51 publications

Frequency and Polarization-Diversified Linear Sampling Methods for Microwave Tomography and Remote Sensing Using Electromagnetic Metamaterials

Frequency and Polarization-Diversified Linear Sampling Methods for Microwave Tomography and Remote Sensing Using Electromagnetic Metamaterials

2-D real-time quantitative microwave imaging of reinforcement bars: simulations and experiments

An Adaptive Method to Focusing in an Unknown Scenario

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