TY  - JOUR
AU  - Ayala, Rafael Ceja
AU  - Harris, Isaac
AU  - Kleefeld, Andreas
TI  - Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary
JO  - Inverse problems and imaging
VL  - 18
IS  - 3
SN  - 1930-8337
CY  - Springfield, Mo.
PB  - AIMS
M1  - FZJ-2023-05021
SP  - 708-729
PY  - 2024
AB  - In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is known at a fixed wave number. Motivated by recent work, we study a new direct sampling indicator based on the Landweber iteration and the factorization method. Therefore, we prove the connection between these reconstruction methods. The method studied here falls under the category of qualitative reconstruction methods where an imaging function is used to recover the absorbing scatterer. We prove stability of our new imaging function as well as derive a discrepancy principle for recovering the regularization parameter. The theoretical results are verified with numerical examples to show how the reconstruction performs by the new Landweber direct sampling method.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001115861700001
DO  - DOI:10.3934/ipi.2023051
UR  - https://juser.fz-juelich.de/record/1018740
ER  -