TY  - JOUR
AU  - Ayala, Rafael Ceja
AU  - Harris, Isaac
AU  - Kleefeld, Andreas
TI  - Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients
JO  - Analysis and Mathematical Physics
VL  - 14
IS  - 4
SN  - 1664-2368
CY  - Cham (ZG)
PB  - Springer International Publishing AG
M1  - FZJ-2024-05150
SP  - 90
PY  - 2024
AB  - In this paper, we consider the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. First, we show the uniqueness for recovering the coefficients from the known far-field data at a fixed incident direction for multiple frequencies. Then, we address the inverse shape problem for recovering the scatterer for the measured far-field data at a fixed frequency. Furthermore, we examine the direct sampling method for recovering the scatterer by studying the factorization for the far-field operator. The direct sampling method is stable with respect to noisy data and valid in two dimensions for partial aperture data. The theoretical results are verified with numerical examples to analyze the performance by the direct sampling method.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001272364700001
DO  - DOI:10.1007/s13324-024-00950-x
UR  - https://juser.fz-juelich.de/record/1029538
ER  -