An Enhanced Method for Inverse Scattering Problems Using Fourier Series Expansion in Conjunction With FDTD and Pso

Semnani, Abbas; Kamyab, M.

doi:10.2528/pier07061204

Cited by 32 publications

(23 citation statements)

References 20 publications

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“…In [9][10][11] the reconstruction of the target permittivity distribution is cast as the minimization of a non-quadratic cost function and solved with global or deterministic optimization methods. To improve the computation efficiency, the distorted Born iterative method (DBIM) and Born iterative method (BIM) dealing with intermediate scatterers are developed in [12,13].…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

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

Zhang¹

2014

PIER

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“…It is a kind of swarm intelligence that is based on social behavior. In recent year, some researchers have focused on applying PSO in the inverse problem [31][32][33][34][35]. To the best of our knowledge, there is still no investigation on using the PSO to reconstruct the electromagnetic imaging of homogeneous dielectric cylinders with arbitrary shape in free space under time domain.…”

Section: Introductionmentioning

confidence: 99%

Time Domain Inverse Scattering of a Two-Dimensional Homogenous Dielectric Object With Arbitrary Shape by Particle Swarm Optimization

Huang¹,

Chiu²,

Li³

et al. 2008

PIER

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Abstract-This paper presents a computational approach to the twodimensional time domain inverse scattering problem of a dielectric cylinder based on the finite difference time domain (FDTD) method and the particle swarm optimization (PSO) to determine the shape, location and permittivity of a dielectric cylinder. A pulse is incident upon a homogeneous dielectric cylinder with unknown shape and dielectric constant in free space and the scattered field is recorded outside. By using the scattered field, the shape and permittivity of the dielectric cylinder are reconstructed. The subgridding technique is implemented in the FDTD code for modeling the shape of the cylinder more closely. In order to describe an unknown cylinder with arbitrary shape more effectively, the shape function is expanded by closed cubicspline function instead of frequently used trigonometric series. The inverse problem is resolved by an optimization approach, and the global searching scheme PSO is then employed to search the parameter space. Numerical results demonstrate that, even when the initial guess is far away from the exact one, good reconstruction can be obtained. In addition, the effects of Gaussian noise on the reconstruction results are investigated. Numerical results show that even the measured scattered E fields are contaminated with some Gaussian noise, PSO can still yield good reconstructed quality.

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“…To investigate on the robustness of the IA-based inversion to noisy data, the reconstruction of the same scatterer profile of the previous example has been performed by varying the noise level within the range SN R = [5,50] [dB]. As indicated by the amount of the error indexes in Fig.…”

Section: Robustness Analysis Against Noisementioning

confidence: 99%

“…In order to avoid nonuniqueness and instability as well as to prevent the retrieval of false solutions [28], several inversion strategies have been proposed based on (a) a suitable definition of the integral equations either in exact [29,30] or approximated [31][32][33][34][35] forms to model the scattering phenomena, (b) the exploitation of the available a-priori information on some features of the scenario/scatterers under test [15,[36][37][38][39] or/and the knowledge of input-output samples of data and reference solutions [40][41][42] and/or the information acquired during the inversion process [43][44][45][46][47], and (c) the use of suitable global optimization strategies [48][49][50][51][52][53][54][55]. Whatever the approach, inversion methods generally consider an optimization step aimed at minimizing/maximizing a suitably defined data-mismatch cost function through gradient or evolutionarybased algorithms with still not fully resolved drawbacks.…”

Section: Introductionmentioning

confidence: 99%

Microwave Imaging Within the Interval Analysis Framework

Rocca¹,

Carlin²,

Manica³

et al. 2013

PIER

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Abstract-An approach based on the use of the arithmetic of intervals and Interval Analysis for the solution of inverse scattering problems is presented and assessed. By exploiting the property of the Interval Analysis to find the global minimum of a functional in a n-dimensional space, the proposed approach adopts a branch and bound process to discard the regions of the solutions space not containing the global solution, while keeping those where a feasible solution is expected until a suitable converge criterion is reached. A representative set of results concerned with the reconstruction of circular dielectric objects within the first-order Born approximation are reported and discussed to show potentialities and current limitations of the proposed approach.

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An Enhanced Method for Inverse Scattering Problems Using Fourier Series Expansion in Conjunction With FDTD and Pso

Cited by 32 publications

References 20 publications

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

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

Time Domain Inverse Scattering of a Two-Dimensional Homogenous Dielectric Object With Arbitrary Shape by Particle Swarm Optimization

Microwave Imaging Within the Interval Analysis Framework

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