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.
https://hal-centralesupelec.archives-ouvertes.fr/hal-01626430 Contributor : Marc LambertConnect in order to contact the contributor Submitted on : Thursday, July 16, 2020 - 5:23:42 PM Last modification on : Sunday, June 26, 2022 - 9:44:33 AM Long-term archiving on: : Monday, November 30, 2020 - 11:30:22 PM