Reconstructing Constitutive Parameters of Inhomogeneous Planar Layered Chiral Media Based on the Optimization Approach

Zarifi, Davoud; Farahbakhsh, Ali; Abdolali, Ali; Soleimani, Mohammad

doi:10.2528/pierm12121702

Cited by 4 publications

(5 citation statements)

References 30 publications

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“…The inversion of multilayer media parameters is essentially a one-dimensional inverse scattering problem and has been well developed in the past two decades. We refer the readers to [32][33][34] for the estimation of parameters of multilayered media.…”

Section: Numerical Resultsmentioning

confidence: 99%

Two-Dimensional Microwave Tomographic Algorithm for Radar Imaging Through Multilayered Media

Zhang¹

2014

PIER

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Abstract-The imaging of targets embedded in a planar layered background media has been an important topic in subsurface and urban sensing. In this paper a fast and efficient tomographic algorithm for the imaging of targets embedded in a multilayered media is presented. The imaging algorithm is based on the first-order Born approximation and exploits the spectral multilayered media Green's function. The exploding reflection model is employed and then the Green's function is expanded in the spectral form to facilitate the easy implementation of the imaging algorithm with fast Fourier transform (FFT). The wave propagation effect due to the presence of the layered subsurface media is automatically taken into account in the imaging formulation through the multilayer media Green's function. The linearization of the inversion scheme and employment of FFT make the imaging algorithm suitable in several applications concerning the diagnostics of large probed domain and allow real-time processing. Representative examples are presented to show the effectiveness and efficiency of the proposed algorithm for radar imaging through multilayered media.

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Section: Numerical Resultsmentioning

confidence: 99%

Two-Dimensional Microwave Tomographic Algorithm for Radar Imaging Through Multilayered Media

Zhang¹

2014

PIER

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“…The reconstruction of multilayer medium parameters is a 1-D inverse problem and has been well developed within the framework of 1-D inverse scattering in the past two decades. We refer the readers to Thajudeen et al (2011), Zhang et al (2001), Zarifi et al (2013), and Spagnolini (1997) for the inversion of complex permittivity and thickness of multilayered media. For the conventional single-layer subsurface, or a single-layer wall, analytical methods for estimation of the dielectric slab parameters were given in Thajudeen et al (2011) and Thajudeen and Hoorfar (2016).…”

Section: Numerical and Experimental Resultsmentioning

confidence: 99%

“…For the conventional single-layer subsurface, or a single-layer wall, analytical methods for estimation of the dielectric slab parameters were given in Thajudeen et al (2011) and Thajudeen and Hoorfar (2016). For multilayered subsurface medium, the number and parameter of each layer can be efficiently retrieved using a layer-stripping algorithm or the global optimization inverse scattering techniques (Spagnolini, 1997;Zhang et al, 2001;Zarifi et al, 2013). Alternatively, the number of layers may be directly identified from GPR time domain raw data.…”

Section: Numerical and Experimental Resultsmentioning

confidence: 99%

Three‐Dimensional Ground‐Penetrating Radar Imaging Through Multilayered Subsurface

Zhang

Hoorfar

2019

Radio Science

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Most of existing ground-penetrating radar (GPR) imaging algorithms are only capable of imaging of targets under a single-layer subsurface. In this paper, a generalized three-dimensional (3-D) fast imaging algorithm for GPR imaging of targets buried under multilayered subsurface is presented. The exploding reflection model is employed to simplify the imaging algorithm, and then the layered media dyadic Green's function is expanded in spectral form to facilitate the easy implementation of the imaging algorithm with fast Fourier transform. The wave propagation effects through multilayered subsurface are efficiently taken into account and are properly compensated for in the imaging formulation through the multilayer media dyadic Green's function. The linearization of the inversion scheme and utilization of fast Fourier transform resolve the time-consuming challenge in 3-D GPR imaging and make the imaging algorithm suitable in several applications concerning the diagnostics of a large probed region. Representative numerical and experimental examples are presented to show the effectiveness and efficiency of the proposed algorithm for 3-D GPR imaging through multilayered media.

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“…In practice, however, these parameters can be estimated using an inversion scheme. The inversion of multilayered medium parameters has been well developed within the framework of one-dimensional inverse scattering in the past two decades [32][33][34][35]. For the conventional single layer subsurface, analytical methods for estimation of the dielectric slab parameters have been provided in [32,35].…”

Section: Performance Comparisonmentioning

confidence: 99%

“…For the conventional single layer subsurface, analytical methods for estimation of the dielectric slab parameters have been provided in [32,35]. For multilayered subsurface media, the number and parameters of each layer can be efficiently retrieved using a layer-stripping algorithm or global optimization inverse scattering techniques [33,34].…”

Section: Performance Comparisonmentioning

confidence: 99%

Performance Evaluation of Group Sparse Reconstruction and Total Variation Minimization for Target Imaging in Stratified Subsurface Media

2019

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Sparse reconstruction methods have been successfully applied for efficient radar imaging of targets embedded in stratified dielectric subsurface media. Recently, a total variation minimization (TVM) based approach was shown to provide superior image reconstruction performance over standard L1-norm minimization-based method, especially in case of non-point-like targets. Alternatively, group sparse reconstruction (GSR) schemes can also be employed to account for embedded target extent. In this paper, we provide qualitative and quantitative performance evaluations of TVM and GSR schemes for efficient and reliable target imaging in stratified subsurface media. Using numerical electromagnetic data of targets buried in the ground, we demonstrate that GSR and TVM provide comparable reconstruction performance qualitatively, with GSR exhibiting a slight superiority over TVM quantitatively, albeit at the expense of less flexibility in regularization parameters.

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Reconstructing Constitutive Parameters of Inhomogeneous Planar Layered Chiral Media Based on the Optimization Approach

Cited by 4 publications

References 30 publications

Two-Dimensional Microwave Tomographic Algorithm for Radar Imaging Through Multilayered Media

Two-Dimensional Microwave Tomographic Algorithm for Radar Imaging Through Multilayered Media

Three‐Dimensional Ground‐Penetrating Radar Imaging Through Multilayered Subsurface

Performance Evaluation of Group Sparse Reconstruction and Total Variation Minimization for Target Imaging in Stratified Subsurface Media

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