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Multi-frequency direct sampling method in inverse scattering problem

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Abstract

We consider the direct sampling method (DSM) for the two-dimensional inverse scattering problem. Although DSM is fast, stable, and effective, some phenomena remain unexplained by the existing results. We show that the imaging function of the direct sampling method can be expressed by a Bessel function of order zero. We also clarify the previously unexplained imaging phenomena and suggest multi-frequency DSM to overcome traditional DSM. Our method is evaluated in simulation studies using both single and multiple frequencies.

Dates and versions

hal-01626037 , version 1 (30-10-2017)

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Sangwoo Kang, Marc Lambert, Won-Kwang Park. Multi-frequency direct sampling method in inverse scattering problem. International Workshop on New Computational Methods for Inverse Problems (NCMIP 2017), May 2017, Cachan, France. ⟨10.1088/1742-6596/904/1/012018⟩. ⟨hal-01626037⟩
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