A novel study on subspace migration for imaging of a sound-hard arc

Park, Won-Kwang

doi:10.1016/j.camwa.2017.07.045

Cited by 9 publications

(5 citation statements)

References 29 publications

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“…Throughout several researches [4,[20][21][22][23][24], estimation of N(x) at x ∈ Σ is essential to obtain good result. Unfortunately, we have no a priori information of crack, therefore an additional procedure for estimating N(x) is needed, but this requires large computational costs.…”

Section: Further Results: Imaging Of Cracks With Neumann Boundary Conmentioning

confidence: 99%

Fast Imaging of Short Perfectly Conducting Cracks in Limited-Aperture Inverse Scattering Problem

Park

2019

Electronics

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In this paper, we consider the application and analysis of subspace migration technique for a fast imaging of a set of perfectly conducting cracks with small length in two-dimensional limited-aperture inverse scattering problem. In particular, an imaging function of subspace migration with asymmetric multistatic response matrix is designed, and its new mathematical structure is constructed in terms of an infinite series of Bessel functions and the range of incident and observation directions. This is based on the structure of left and right singular vectors linked to the nonzero singular values of MSR matrix and asymptotic expansion formula due to the existence of cracks. Investigated structure of imaging function indicates that imaging performance of subspace migration is highly related to the range of incident and observation directions. The simulation results with synthetic data polluted by random noise are exhibited to support investigated structure.

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Section: Further Results: Imaging Of Cracks With Neumann Boundary Conmentioning

confidence: 99%

Fast Imaging of Short Perfectly Conducting Cracks in Limited-Aperture Inverse Scattering Problem

Park

2019

Electronics

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“…Unfortunately, we have no a priori information on targets A m and R s so that it is impossible to select optimal vectors c n . Thus, with motivation from several researches [14,15,41,42], we adopt following unit vector W(x) instead of (3) such that…”

Section: Remark 1 (Selection Of Test Vector)mentioning

confidence: 99%

“…Kirchhoff and subspace migration are also well-known non-iterative techniques for finding location/shape of unknown inhomogeneities, and they have been applied to a variety of problems (see [38][39][40][41][42][43], for instance). Several studies have confirmed that they are fast, stable, and effective methods for finding various kinds of defects without a priori information of unknown targets.…”

Section: Introductionmentioning

confidence: 99%

Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers

Ahn

Park

2019

Applied Sciences

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In this paper, we take into account a two-dimensional inverse scattering problem for localizing small electromagnetic anomalies when they are surrounded by small, randomly distributed electromagnetic scatterers. Generally, subspace migration is considered to be an improved version of Kirchhoff migration; however, for the problem considered here, simulation results have confirmed that Kirchhoff migration is better than subspace migration, though the reasons for this have not been investigated theoretically. In order to explain theoretical reason, we explored that the imaging function of Kirchhoff migration can be expressed by the size, permittivity, permeability of anomalies and random scatterers, and the Bessel function of the first kind of order zero and one. Considered approach is based on the fact that the far-field pattern can be represented using an asymptotic expansion formula in the presence of such anomalies and random scatterers. We also present results of numerical simulations to validate the discovered imaging function structures.

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“…The following result will be useful for this purpose. Its complete derivation can be found in [28,29].…”

Section: Subspace Migration Without Diagonal Elements Of Msr Matrixmentioning

confidence: 99%

“…Now, we analyze the imaging function in TE polarization. We first recall a useful result derived in [75,76]. Lemma 4.4.…”

Section: Structure Of the Imaging Function: Te Casementioning

confidence: 99%

Reconstruction of thin electromagnetic inhomogeneity without diagonal elements of a multi-static response matrix

Park¹

2018

Inverse Problems

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This paper aims to shape the identification of thin inhomogeneities with different dielectric/magnetic properties from a two-dimensional homogeneous background. The shapes are identified through subspace migration without requiring the diagonal elements of the collected multi-static response matrix. To understand why subspace migration without diagonal elements can retrieve the shape of a thin inhomogeneity, we carefully investigate the relations between the imaging function and Bessel functions of orders 0 and 1. This analysis exploits the fact that when a thin homogeneity exists, the measured far-field pattern can be represented as an asymptotic expansion formula. The investigated relation is supported in numerical experiments with noisy data.

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A novel study on subspace migration for imaging of a sound-hard arc

Cited by 9 publications

References 29 publications

Fast Imaging of Short Perfectly Conducting Cracks in Limited-Aperture Inverse Scattering Problem

Fast Imaging of Short Perfectly Conducting Cracks in Limited-Aperture Inverse Scattering Problem

Kirchhoff Migration for Identifying Unknown Targets Surrounded by Random Scatterers

Reconstruction of thin electromagnetic inhomogeneity without diagonal elements of a multi-static response matrix

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