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

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  • Won-Kwang Park

    (Department of Information Security, Cryptology, and Mathematics, Kookmin University, Seoul 02707, Korea)

Abstract

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.

Suggested Citation

  • Won-Kwang Park, 2020. "Fast Imaging of Thin, Curve-Like Electromagnetic Inhomogeneities without a Priori Information," Mathematics, MDPI, vol. 8(5), pages 1-22, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:799-:d:358108
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    References listed on IDEAS

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    1. Ahmad, Sanwar & Strauss, Thilo & Kupis, Shyla & Khan, Taufiquar, 2019. "Comparison of statistical inversion with iteratively regularized Gauss Newton method for image reconstruction in electrical impedance tomography," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 436-448.
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