An Algebraic Solution Method for Nonlinear Inverse Scattering

Bevacqua, Martina T.; Crocco, Lorenzo; Donato, Loreto Di; Isernia, Tommaso

doi:10.1109/tap.2014.2382114

Cited by 30 publications

(24 citation statements)

References 37 publications

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“…In [6][7][8][9][10][11], the design of the VE exploits the integral equation at the core of LSM. To recall this procedure, let us introduce the far-field operator [1]:…”

Section: The Virtual Experimentsmentioning

confidence: 99%

“…In a recent series of papers [6][7][8][9][10][11], it has been shown that it is possible to take advantage of the information achieved from the LSM not only to estimate the unknown target's support, but also to introduce new quantitative inversion methods. These latter are capable of retrieving the electromagnetic parameters of the unknown targets using linear approximations that hold true for non-weak scatterers [6,7], localized non-linear approximations [8] or new regularization schemes [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…These latter are capable of retrieving the electromagnetic parameters of the unknown targets using linear approximations that hold true for non-weak scatterers [6,7], localized non-linear approximations [8] or new regularization schemes [9,10].…”

Section: Introductionmentioning

confidence: 99%

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The Factorization Method for Virtual Experiments Based Quantitative Inverse Scattering

Crocco¹,

Donato²,

Catapano³

et al. 2016

PIER

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Abstract-The concept of virtual experiments is based on the idea of solving the inverse scattering problem by processing a suitable recombination of the available data, instead of those arising from the measurements. By properly designing such experiments (and without additional measurements), it is possible to enforce some peculiar field's or contrast source's properties, which can be helpful to perform the inversion in a more simple and reliable way. In this paper, we show that the factorization method can be used as a tool to design the virtual experiments. In doing so, we also provide, for the first time, an insight into its physical meaning. As an example, we exploit the virtual experiments designed via FM as the backbone of a linearized inversion approach for quantitative imaging of non-weak targets.

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“…In [6][7][8][9][10][11], the design of the VE exploits the integral equation at the core of LSM. To recall this procedure, let us introduce the far-field operator [1]:…”

Section: The Virtual Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Factorization Method for Virtual Experiments Based Quantitative Inverse Scattering

Crocco¹,

Donato²,

Catapano³

et al. 2016

PIER

Self Cite

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“…In [14], [16] and [17], [18] such a concept has been used to devise new approximations for the internal fields and the contrast sources, respectively, and exploited to cast new approximated inversion methods capable of working well beyond traditional linear approximations. In [15], the field approximation used in [14] was instead exploited as a convenient starting guess for a field-based MG inversion scheme.…”

Section: Measured Informationmentioning

confidence: 99%

“…The proposed strategy relies on an emerging paradigm for microwave imaging, which consists in taking advantage of experiments that are designed in such a way to enforce some specific behavior of the field or of the contrast source which generate this field [14]- [18]. Notably, these experiments are implemented in a synthetic way, that is, without performing additional measurements, but simply processing the available ones.…”

Section: Introductionmentioning

confidence: 99%

Inverse Scattering Via Virtual Experiments and Contrast Source Regularization

Donato

Bevacqua

Crocco

et al. 2015

IEEE Trans. Antennas Propagat.

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In microwave imaging, the linearity of the relationship between the incident and the scattered field offers the possibility of a posteriori recombining the performed scattering experiments and then to cast the underlying inverse problem with respect to the resulting, virtual, ones. The interest of such a circumstance is that properly designed virtual experiments can enforce particular and convenient conditions. In this paper, we present an application of this paradigm to the popular contrast source inversion method. In particular, we first design a set of virtual experiments capable to induce contrast sources exhibiting circular symmetries (with respect to some pivot points). Then, we devise an original and effective regularized Contrast Source Inversion (CSI) scheme, in which a penalty term is added to the usual cost functional, in order to account for the symmetry of the auxiliary unknowns. Notably, the approach does not require any a priori assumption on the unknown contrast, as it relies on the particular nature of the virtual contrast sources. Results with single frequency Fresnel experimental data are given to assess the capabilities of the proposed approach.

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Microwave Imaging and the Potential of Contrast Enhancing Agents for Theranostics Use

Lahri¹,

Rahman²,

Kallos

et al. 2018

Theranostics and Image Guided Drug Delivery

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Clinical imaging modalities provide clinical data with a variety of resolutions, clinical implementation costs, and various levels of complexity when applied and interpreted. Imaging techniques that are aimed at molecular imaging require the utilization of ionizing radiation that can pose safety risks and questions related to their frequent use. Microwave sensing and imaging (MSI) is emerging as an alternative method based on nonionizing electromagnetic (EM) signals that lie over a wide frequency range. The main advantages of using EM signals is the low health risk, low cost of implementation, low operational cost, ease of use, and user friendliness. The development of such systems may revolutionise treatments and contribute to advanced safe and cost effective detection and/or treatments. MSI has been used for tumour detection (breast), blood clot/stroke detection, heart imaging, bone imaging, cancer detection, and localization of in-body radio frequency (RF) ablation sources. The introduction of tailor made agents to enhance microwave (MW) dielectric contrast may provide a very useful clinical tool. In MSI applications, nanomaterials that change the dielectric constant when concentrated in tumours could be an elegant solution for tumour detection. MW devices used for sensing can also induce focused and controlled elevation of temperature in tissues (hyperthermia, ablation). This dual operation of MW devices can be combined with smart temperature responsive drug delivery systems to provide integrated tumour therapy and targeted drug delivery systems. The aim of this chapter is to provide an overview of this emerging technique and its potential in diagnostics and therapy.

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An Algebraic Solution Method for Nonlinear Inverse Scattering

Cited by 30 publications

References 37 publications

The Factorization Method for Virtual Experiments Based Quantitative Inverse Scattering

The Factorization Method for Virtual Experiments Based Quantitative Inverse Scattering

Inverse Scattering Via Virtual Experiments and Contrast Source Regularization

Microwave Imaging and the Potential of Contrast Enhancing Agents for Theranostics Use

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