An analytical approach to the reconstruction of the radiating currents in inverse electromagnetic scattering

A fast and efficient microwave tomographic algorithm is proposed for 2-D and 3-D real-time intrawall imaging. The exploding reflection model is utilized to simplify the imaging formulation, and the half-space Green's function is expanded in the spectral domain to facilitate the easy implementation of the imaging algorithm with the fast Fourier transform (FFT) and inverse fast Fourier transform (IFFT). The linearization of the inversion scheme and employment of FFT/IFFT in the imaging formula make the algorithm suitable for various applications pertaining to the inspection of a large probed region and allow real-time processing. Representative numerical and experimental results are presented to show the effectiveness and efficiency of the proposed algorithm for real-time intrawall characterization.

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“…where L a is the adjoint operator of L and maps the scattered field from the data space to the target space [24,25],…”

Section: Problem Formulationmentioning

confidence: 99%

Two- and Three-Dimensional Fast Intrawall Imaging with Microwave Tomographic Algorithm

Zhang

Hoorfar

Thajudeen

2018

International Journal of Antennas and Propagation

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“…• is of narrow bandwidth [19], which means that if we perform the singular value decomposition (SVD):…”

Section: Establishment Of the Cost Functionmentioning

confidence: 99%

“…After determining the radiating current one can derive the full data of E scatt via Equation (1). Analytical form of the SVD of the scattering operator can be derived for special case [19]. However, for different measurement setups and background, it is need to consider the SVD within the framework of a discrete form.…”

Section: Establishment Of the Cost Functionmentioning

confidence: 99%

A Novel Phase Retrieval Approach for Electromagnetic Inverse Scattering Problem With Intensity-Only Data

Xiang¹,

Li²,

Li³

2010

PIER M

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Abstract-To measure the phase of signal with very high working frequency such as THz, and optics band is still a challenging problem. In this paper, based on the relationship between radiating current and measured intensity of electrical field a novel phase retrieval algorithm has been developed. As opposed to the existing approaches of phase retrieval where usually the Fourier coefficients of measured data will be firstly reconstructed, the proposed approach is to reconstruct the so-called radiating currents, with more physical meaning than the former. It has a much smaller number of freedoms of radiating current than that of measurements, which means that the obtained equations are over-determined. Thus one can efficiently model the intensity of measured electric field via the radiating part, and reconstruct it quickly and stably. The novelty is that this physical consideration 1) leads to efficiently avoiding false solutions due to the ill-posedness of phase retrieval problem, and 2) offers a good initial guess for inverse scattering based imaging algorithm. Importantly, a closed-form formulation of phase retrieve also has been derived when the intensity of incident wave is much stronger than one of the scattered wave, for example, for the weak scattering objects. Finally, several numerical experiments are provided to show the high performance of proposed algorithm.

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“…At present, there are two main breast imaging techniques employing microwave signals: microwave tomography [1][2][3][4][5][6][7][8] and UWB radar techniques [9][10][11][12][13]. Microwave tomography techniques permit dielectric properties reconstruction by solving non linear inverse scattering problems, while UWB radar techniques solve simpler computational problems by seeking only to identify the significant scatterers inside the target volume.…”

Section: Introductionmentioning

confidence: 99%

Huygens Principle Based Imaging of Multilayered Objects With Inclusions

Ghavami

Tiberi

Edwards

et al. 2014

PIER B

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Abstract-The application of a recently introduced microwave imaging technique based on the Huygens principle (HP), has been extended to multilayered objects with inclusions in this paper. The methodology of HP permits the capture of contrast such that different material properties within the region of interest can be discriminated in the final image, and its simplicity removes the need to solve inverse problems when forward propagating the waves. Therefore the procedure can identify and localize significant scatterers inside a multilayered volume, without having apriori knowledge on the dielectric properties of the target object. Additionally, an analytically-based approach for analyzing UltraWide Bandwidth (UWB) body propagation is presented, where the body is modeled as a 3-layer stratified cylinder with an eccentric inclusion. Validation of the technique through both simulations and measurements on multilayered cylindrical objects with inclusions has been performed.

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An analytical approach to the reconstruction of the radiating currents in inverse electromagnetic scattering

Cited by 31 publications

References 15 publications

Two- and Three-Dimensional Fast Intrawall Imaging with Microwave Tomographic Algorithm

Two- and Three-Dimensional Fast Intrawall Imaging with Microwave Tomographic Algorithm

A Novel Phase Retrieval Approach for Electromagnetic Inverse Scattering Problem With Intensity-Only Data

Huygens Principle Based Imaging of Multilayered Objects With Inclusions

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