Direct sampling method with optimal test dipole in inverse electromagnetic scattering 3D problem

Sangwoo Kang (1) , Marc Lambert (1)

1 GeePs - Laboratoire Génie électrique et électronique de Paris

Development and analysis of efficient methods and techniques for solving such an inverse scattering problem have been attracting research due to its potential in diverse application such as non-destructive testing [1], and biomedical imaging [2], etc. Non-iterative method is one significant part in these fields because of their many advantages such as low computational cost and/or preliminary information and simplicity of the algorithms, etc. Many of such algorithm, for instance, MUltiple SIgnal Classification (MUSIC), linear sampling method (LSM), and migration-type method (Kirchhoff migration, subspace migration), etc., have been studying and applying under many different conditions. These methods are able to reconstruct the shapes and locations of unknown targets when dealing with enough incident fields [3] but might fail otherwise [4]. To overcome these difficulties the so-called direct sampling method (DSM) was firstly suggested in [5] for 2D inverse acoustic scattering problem and 3D electromagnetic scattering inverse problem. According to [5, 6], DSM is a stable, robust with respect to noise and fast-because it doesn't need any matrix operation such as singular value decomposition-method. The authors also develop the DSM for solving inverse electromagnetic scattering problem [7]. Contrary to DSM for 2D acoustic problem, DSM for 3D electromagnetic problem have to handle vector formed scattered fields. Therefore, we have to consider the so called dyadic green function, and its polarization. Since the DSM, as defined in [5] needs the definition of an a priori test dipole, the imaging result might fail if the latter is not properly defined. To the best of our knowledge the choice of an optimal test dipole for DSM has not been presented yet because of their complexity of relation between optimal polarization and other parameters. To deal with this issue, DSM with our optimal test dipole (DSMO) is proposed and validated by various results from numerical simulations of non-degenerate and degenerate inhomogeneities.

Mots clés: numerical experiments; direct sampling method; inverse electromagnetic scattering problem; non-iterative method; dyadic green function

Domaines: Electromagnétisme

Sangwoo Kang, Marc Lambert. Direct sampling method with optimal test dipole in inverse electromagnetic scattering 3D problem. Europe-Korea Conference on Science and Technology (EKC 2018), Aug 2018, Glasgow, United Kingdom. pp.77. ⟨hal-01899050⟩