Reconstruction of surface impedance of an object located over a planar PEC surface

Ünal, Gül Seda; Çayören, Mehmet; Tetik, Evrim

doi:10.1088/1742-6596/135/1/012099

Cited by 4 publications

(7 citation statements)

References 6 publications

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Section: Methodsmentioning

confidence: 99%

“…For example, a reconstruction method for inhomogeneous surface impedance and shape of a two-dimensional (2D) cylindrical object located over a perfectly electric conducting (PEC) plane, which has a mirror effect on the measured data that corresponds to a full view configuration, was presented in [10]. The method in [10] may be seen as the first step to a guided wave environment, where the guided modes are due to reflections between the boundary walls. In [11], the inverse problem of retrieving the shape of an inaccessible, perfectly electric conducting target from a set of far field measurements was considered, and a reconstruction method in which the unknown scatterer is modeled by means of a surface impedance was used.…”

Section: Methodsmentioning

confidence: 99%

“…However, due to the linearized (first-order perturbation) theory employed, the scattering parameters are here linear functions of g(x, z), as is evident from Eq. (10).…”

Section: Rectangular Waveguide Modelmentioning

confidence: 99%

“…We thereafter collect the measured values of the reflection coefficients (10) into a corresponding vector S. Thus we obtain a matrix equation Ag = S, where the elements of the matrix A can be obtained by explicit integration by substituting (11) into (10). The unknown coefficients g pq can then be obtained from the optimization condition min ∥Ag − S∥ 2…”

Section: Rectangular Waveguide Modelmentioning

confidence: 99%

See 3 more Smart Citations

Two-dimensional boundary shape reconstructions in rectangular and coaxial waveguides

Dalarsson

Norgren

2016

Wave Motion

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

“…However, due to the linearized (first-order perturbation) theory employed, the scattering parameters are here linear functions of g(x, z), as is evident from Eq. (10).…”

Section: Rectangular Waveguide Modelmentioning

confidence: 99%

Section: Rectangular Waveguide Modelmentioning

confidence: 99%

See 2 more Smart Citations

Two-dimensional boundary shape reconstructions in rectangular and coaxial waveguides

Dalarsson

Norgren

2016

Wave Motion

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“…Other possible approaches are based on the impedance boundary condition [10] or the so-called decomposition methods [11]. Although interesting approaches, these methods still rely on matrix inversions and regularization and do not seem suitable for real time applications.…”

mentioning

confidence: 99%

On the Combination of SAR and Model Based Techniques for High-Resolution Real-Time Two-Dimensional Reconstruction

González-Valdés

Álvarez

Martínez-Lorenzo

et al. 2014

IEEE Trans. Antennas Propagat.

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Abstract-A novel, real-time, two-dimensional method to find the shape of a body from its scattered electric fields is presented. The method is based on a unique combination of the information obtained from the target using the SAR formulation with a novel fast model-based inversion. In the first step, a fast implementation of the SAR inversion is used to recover an initial estimate of the body shape. Secondly, the phase and amplitude of the SAR image are used to extract a set of first guess contours close to the actual position of the body under test. In a third step, these contours are used as a starting point for a model-based inversion in order to disregard the contours that do not match the body profile and to improve the final result. Resolution of less than half of a wavelength for the proposed method is achieved using representative simulation results and measured data

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Surface impedance modeling of PEC targets: application to shape reconstruction

et al. 2009

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We consider the inverse electromagnetic scattering problem of retrieving the shape of an inaccessible, perfectly electric conducting target from a set of far field measurements and develop a new reconstruction method in which the unknown scatterer is modeled by means of a surface impedance. The basic idea is to approximate the unknown object through a circular impedance cylinder enclosed in it and equipped with a suitable inhomogeneous surface impedance. By doing so, the ill-posedness and the nonlinearity of the underlying problem are then handled separately, through two successive processing steps. In the first step, the inhomogeneous surface impedance of the auxiliary scatterer is reconstructed through the regularized analytical continuation of the measured far-field data. Then, the unknown shape is retrieved through the solution of a nonlinear optimization problem aimed at determining the spatial locations where the field outside of the impedance target vanishes, in agreement with the boundary condition arising onto the unknown target. As demonstrated with several numerical results, the method is robust against uncertainties on data and provides quite accurate results for targets with starlike boundaries having both convex and concave parts.

show abstract

Reconstruction of surface impedance of an object located over a planar PEC surface

Cited by 4 publications

References 6 publications

Two-dimensional boundary shape reconstructions in rectangular and coaxial waveguides

Two-dimensional boundary shape reconstructions in rectangular and coaxial waveguides

On the Combination of SAR and Model Based Techniques for High-Resolution Real-Time Two-Dimensional Reconstruction

Surface impedance modeling of PEC targets: application to shape reconstruction

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