Analysis of a multi-frequency electromagnetic imaging functional for thin, crack-like electromagnetic inclusions
arXiv:1208.2063 · doi:10.1016/j.apnum.2013.11.001
Abstract
Recently, a non-iterative multi-frequency subspace migration imaging algorithm was developed based on an asymptotic expansion formula for thin, curve-like electromagnetic inclusions and the structure of singular vectors in the Multi-Static Response (MSR) matrix. The present study examines the structure of subspace migration imaging functional and proposes an improved imaging functional weighted by the frequency. We identify the relationship between the imaging functional and Bessel functions of integer order of the first kind. Numerical examples for single and multiple inclusions show that the presented algorithm not only retains the advantages of the traditional imaging functional but also improves the imaging performance.
15 pages, 20 figures
References in corpus (4)
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Cited by in corpus (7)
- Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks
- Asymptotic properties of MUSIC-type imaging in two-dimensional inverse scattering from thin electromagnetic inclusions
- Fast shape reconstruction of perfectly conducting cracks by using a multi-frequency topological derivative strategy
- Analysis of multi-frequency subspace migration weighted by natural logarithmic function for fast imaging of two-dimensional thin, arc-like electromagnetic inhomogeneities
- Interpretation of MUSIC for location detecting of small inhomogeneities surrounded by random scatterers
- Certain properties of MUSIC-type imaging functional in inverse scattering from an open, sound-hard arc
- Localization of small perfectly conducting cracks from far-field pattern with unknown frequency