Experimental validation of a transport-based imaging method in highly scattering environments

Bal, Guillaume; Carin, Lawrence; Liu, Dehong; Ren, Kui

doi:10.1088/0266-5611/23/6/015

Cited by 21 publications

(21 citation statements)

References 31 publications

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“…The imaging methods developed in this paper have been validated with real-world experimental data. The results are reported elsewhere [5].…”

Section: Discussionmentioning

confidence: 81%

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Transport-Based Imaging in Random Media

Bal¹,

Ren²

2008

SIAM J. Appl. Math.

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This paper generalizes well-established derivations of the radiative transfer equation from first principles to model the energy density of time-dependent and monochromatic high frequency waves propagating in a random medium composed of localized scatterers. The correlation length of the random scatterers is small compared to the overall distance of propagation so that ensemble averaging may take place. The correlation length may be either comparable to the typical wavelength in the system (the weak-coupling regime) or larger than the wavelength (the low-density regime).The paper also considers the detection and imaging of inclusions buried in highly scattering random media. In such multiple scattering environments, the coherent wave fields may be too weak to be used for imaging purposes. We thus propose to model the inclusions as parameters in the macroscopic radiative transfer equations and consider the imaging problem as an inverse transport problem.Numerical simulations address the domain of validity of the radiative transfer equation and of the imaging method. Wave propagation is solved by using a Foldy-Lax framework and the forward and inverse transport problems are solved by using a Monte Carlo method. Since the inverse transport problem is ill-posed, the buried inclusions are parameterized by a small number of degrees of freedom, typically their position and a few geometric properties.

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“…The imaging methods developed in this paper have been validated with real-world experimental data. The results are reported elsewhere [5].…”

Section: Discussionmentioning

confidence: 81%

“…The Helmholtz equation (17) is very demanding to solve numerically for the choice of sound speed fluctuations given in (5). Since β > 0 so that ε β → 0 as ε → 0, the localized scatterers are very small compared to the wavelength of the propagating waves.…”

Section: Foldy-lax Model For Point Scatterersmentioning

confidence: 99%

Transport-Based Imaging in Random Media

Bal¹,

Ren²

2008

SIAM J. Appl. Math.

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“…The motivation for our second result is to see how stable an imaging result, which could be the imaging of a point source as in our case, or a point scatter [3,4], or a reflector [27], or an extended target [6,7,30,55], is with respect to uncertainties in the medium properties. This is an important problem to be addressed since in most applications, the underlying media are either assumed known or have to be reconstructed as well.…”

Section: Discussionmentioning

confidence: 99%

“…Proof. With the regularity of n(x) assumed in (A), we can take φ as the well-known complex geometrical optics (CGO) solution to (6); see for instance [43]. More precisely, let ζ = η + iξ with η ∈ R 3 and ξ ∈ R 3 given vectors such that η · ξ = 0 and ζ · ζ = k 2 (i.e.…”

Section: Stability In Heterogeneous Mediamentioning

confidence: 99%

Imaging point sources in heterogeneous environments

Ren

Zhong

2019

Inverse Problems

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Imaging point sources in heterogeneous environments from boundary or far-field measurements has been extensively studied in the past. In most existing results, the environment, represented by the refractive index function in the model equation, is assumed known in the imaging process. In this work, we investigate the impact of environment uncertainty on the reconstruction of point sources inside it. Following the techniques developed by El Badia and El Hajj (C. R. Acad. Sci. Paris, Ser. I, 350 (2012), 1031-1035 ), we derive stability of reconstructing point sources in heterogeneous media with respect to measurement error as well as smooth changes in the environment, that is, the refractive index. Numerical simulations with synthetic data are presented to further explore the derived stability properties.

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“…Various techniques have been developed depending on the nature of the target under test [1,2]. Considering electromagnetic field measurement techniques, GPR techniques [3] and qualitative imaging [4][5][6][7][8] may allow to localize efficiently different kinds of targets. To improve the resolution and to obtain a quantitative image, inverse scattering algorithms can be used [9], [10,11].…”

Section: Introductionmentioning

confidence: 99%

Target localization and measured scattered field pre‐processing using spectral bandwidth minimization for shallowly buried target problems

Eyraud

Geffrin

Lewyllie

et al. 2009

Micro & Optical Tech Letters

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International audienceIn this article, a fast and efficient method to detect and localize shallow buried targets is presented. This technique, based on the electromagnetic scattering measurements, takes profit of the spectral bandwidth properties of the scattered field to pre-process the measured fields to extract the contribution of the target. It can also provide a quick estimation of the localization of the target under test. Experimental results in the context of rebar detection in concrete are presented

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Experimental validation of a transport-based imaging method in highly scattering environments

Cited by 21 publications

References 31 publications

Transport-Based Imaging in Random Media

Transport-Based Imaging in Random Media

Imaging point sources in heterogeneous environments

Target localization and measured scattered field pre‐processing using spectral bandwidth minimization for shallowly buried target problems

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