Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method

Cui, Tie Jun; Chew, Weng Cho; Aydiner, Alaeddin; Chen, Siyuan

doi:10.1109/36.905242

Cited by 163 publications

(17 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For a unit source at a given antenna feed point r in V, the Green's function defines the field received at a particular antenna at r m . This quantity can be found using the principle of reciprocity 47 and the background field measurements already obtained by the forward solution. A particular advantage of computing the Green's function from the existing forward solution is that the exact radiative behavior of the antennas, including the mutual coupling, is built into the Green's functions and therefore, no correction factors are necessary, with the exception of the calibration for antenna modeling error described in Sec.…”

Section: Iiib Forward Solutionmentioning

confidence: 99%

Three‐dimensional microwave imaging of realistic numerical breast phantoms via a multiple‐frequency inverse scattering technique

et al. 2010

View full text Add to dashboard Cite

Purpose: Breast density measurement has the potential to play an important role in individualized breast cancer risk assessment and prevention decisions. Routine evaluation of breast density will require the availability of a low-cost, nonionizing, three-dimensional ͑3-D͒ tomographic imaging modality that exploits a strong properties contrast between dense fibroglandular tissue and less dense adipose tissue. The purpose of this computational study is to investigate the performance of 3-D tomography using low-power microwaves to reconstruct the spatial distribution of breast tissue dielectric properties and to evaluate the modality for application to breast density characterization. Methods: State-of-the-art 3-D numerical breast phantoms that are realistic in both structural and dielectric properties are employed. The test phantoms include one sample from each of four classes of mammographic breast density. Since the properties of these phantoms are known exactly, these testbeds serve as a rigorous benchmark for the imaging results. The distorted Born iterative imaging method is applied to simulated array measurements of the numerical phantoms. The forward solver in the imaging algorithm employs the finite-difference time-domain method of solving the timedomain Maxwell's equations, and the dielectric profiles are estimated using an integral equation form of the Helmholtz wave equation. A multiple-frequency, bound-constrained, vector field inverse scattering solution is implemented that enables practical inversion of the large-scale 3-D problem. Knowledge of the frequency-dependent characteristic of breast tissues at microwave frequencies is exploited to obtain a parametric reconstruction of the dispersive dielectric profile of the interior of the breast. Imaging is performed on a high-resolution voxel basis and the solution is bounded by a known range of dielectric properties of the constituent breast tissues. The imaging method is validated using a breast phantom with a single, high-contrast interior scattering target in an otherwise homogeneous interior. The method is then used to image a set of realistic numerical breast phantoms of varied fibroglandular tissue density. Results: Imaging results are presented for each numerical phantom and show robustness of the method relative to tissue density. In each case, the distribution of fibroglandular tissues is well represented in the resulting images. The resolution of the images at the frequencies employed is wider than the feature dimensions of the normal tissue structures, resulting in a smearing of their reconstruction. Conclusions:The results of this study support the utility of 3-D microwave tomography for imaging the distribution of normal tissues in the breast, specifically, dense fibroglandular tissue versus less dense adipose tissue, and suggest that further investigation of its use for volumetric evaluation of breast density is warranted.

show abstract

Section: Iiib Forward Solutionmentioning

confidence: 99%

Three‐dimensional microwave imaging of realistic numerical breast phantoms via a multiple‐frequency inverse scattering technique

et al. 2010

View full text Add to dashboard Cite

show abstract

“…However, they require dealing with an ill-posed and non-linear problem. Several approaches have been proposed to address this task (e.g., [8][9][10][11]).…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Imaging in Stratified Media by Means of a Finite-Element Variable-Exponent Inversion Approach

2023

RSL

View full text Add to dashboard Cite

An electromagnetic imaging technique for the characterization of targets embedded in stratified media is proposed. The method aims at reconstructing the distributions of the dielectric properties from scattering S-parameters measurements through a nonlinear inversion technique in variable-exponent Lebesgue spaces merged with a finite-element formulation. The proposed method is validated in a numerically simulated three-layer scenario involving both single and multiple targets, showing good reconstruction capabilities.

show abstract

“…Inverse electromagnetic scattering represents an important noninvasive imaging technology for interrogating material properties, and it arises in many practical applications, such as biomedical diagnosis [7], nondestructive testing [34] and geophysical exploration [14]. In this work, we are concerned with the inverse medium scattering problem of determining electrical/magnetic properties of unknown inhomogeneous objects embedded in a homogeneous background from noisy measurements of the scattered electric/magnetic field, corresponding to one or several incident fields impinged on the objects.…”

Section: Introductionmentioning

confidence: 99%

A direct sampling method for inverse electromagnetic medium scattering

2013

View full text Add to dashboard Cite

In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric or magnetic near-field data. We shall develop a novel direct sampling method based on an analysis of electromagnetic scattering and the behavior of the fundamental solution. The method is applicable even with one incident field and needs only to compute inner products of the measured scattered field with the fundamental solutions located at sampling points. Hence it is strictly direct, computationally very efficient, and highly tolerant to the presence of noise in the data. Two-and three-dimensional numerical experiments indicate that it can provide reliable support estimates of one single and multiple scatterers in case of both exact and highly noisy data.

show abstract

Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method

Cited by 163 publications

References 26 publications

Three‐dimensional microwave imaging of realistic numerical breast phantoms via a multiple‐frequency inverse scattering technique

Three‐dimensional microwave imaging of realistic numerical breast phantoms via a multiple‐frequency inverse scattering technique

Electromagnetic Imaging in Stratified Media by Means of a Finite-Element Variable-Exponent Inversion Approach

A direct sampling method for inverse electromagnetic medium scattering

Contact Info

Product

Resources

About