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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/799 |
| _version_ | 1797567939413540864 |
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| author | Won-Kwang Park |
| author_facet | Won-Kwang Park |
| author_sort | Won-Kwang Park |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T19:49:16Z |
| format | Article |
| id | doaj.art-12b49b71ce1c4b4491997cca0e4b067b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:49:16Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-12b49b71ce1c4b4491997cca0e4b067b2023-11-20T00:27:51ZengMDPI AGMathematics2227-73902020-05-018579910.3390/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 |
| 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 |
| title | 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_short | 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 |
| 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 |