Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information

Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information

It is well-known that subspace migration is a stable and effective non-iterative imaging technique in inverse scattering problem. However, for a proper application, a priori information of the shape of target must be estimated. Without this consideration, one cannot retrieve good results via subspac...

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Main Author: Won-Kwang Park
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
subspace migration
thin electromagnetic inhomogeneities
Multi-Static Response (MSR) matrix
numerical simulation
Online Access:https://www.mdpi.com/2227-7390/8/5/799
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spelling doaj-12b49b71ce1c4b4491997cca0e4b067b2020-11-25T03:00:37ZengMDPI AGMathematics2227-73902020-05-01879979910.3390/math8050799Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori InformationWon-Kwang Park0Department of Information Security, Cryptology, and Mathematics, Kookmin University, Seoul 02707, KoreaIt is well-known that subspace migration is a stable and effective non-iterative imaging technique in inverse scattering problem. However, for a proper application, a priori information of the shape of target must be estimated. Without this consideration, one cannot retrieve good results via subspace migration. In this paper, we identify the mathematical structure of single- and multi-frequency subspace migration without any a priori of unknown targets and explore its certain properties. This is based on the fact that elements of so-called multi-static response (MSR) matrix can be represented as an asymptotic expansion formula. Furthermore, based on the examined structure, we improve subspace migration and consider the multi-frequency subspace migration. Various results of numerical simulation with noisy data support our investigation.https://www.mdpi.com/2227-7390/8/5/799subspace migrationthin electromagnetic inhomogeneitiesMulti-Static Response (MSR) matrixnumerical simulation
collection DOAJ
language English
format Article
sources DOAJ
author Won-Kwang Park
spellingShingle Won-Kwang Park
Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information
Mathematics
subspace migration
thin electromagnetic inhomogeneities
Multi-Static Response (MSR) matrix
numerical simulation
author_facet Won-Kwang Park
author_sort Won-Kwang Park
title Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information
title_short Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information
title_full Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information
title_fullStr Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information
title_full_unstemmed Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information
title_sort fast imaging of thin, curve-like electromagnetic inhomogeneities without a priori information
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-05-01
description It is well-known that subspace migration is a stable and effective non-iterative imaging technique in inverse scattering problem. However, for a proper application, a priori information of the shape of target must be estimated. Without this consideration, one cannot retrieve good results via subspace migration. In this paper, we identify the mathematical structure of single- and multi-frequency subspace migration without any a priori of unknown targets and explore its certain properties. This is based on the fact that elements of so-called multi-static response (MSR) matrix can be represented as an asymptotic expansion formula. Furthermore, based on the examined structure, we improve subspace migration and consider the multi-frequency subspace migration. Various results of numerical simulation with noisy data support our investigation.
topic subspace migration
thin electromagnetic inhomogeneities
Multi-Static Response (MSR) matrix
numerical simulation
url https://www.mdpi.com/2227-7390/8/5/799
work_keys_str_mv AT wonkwangpark fastimagingofthincurvelikeelectromagneticinhomogeneitieswithoutaprioriinformation
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