TY  - JOUR
AU  - Harris, Isaac
AU  - Kleefeld, Andreas
TI  - Analysis of new direct sampling indicators for far-field measurements
JO  - Inverse problems
VL  - 35
IS  - 5
SN  - 1361-6420
CY  - Bristol [u.a.]
PB  - Inst.
M1  - FZJ-2019-01631
SP  - 054002
PY  - 2019
AB  - This article focuses on the analysis of three direct sampling indicators which can be used for recovering scatterers from the far-field pattern of time-harmonic acoustic measurements. These methods fall under the category of sampling methods where an indicator function is constructed using the far-field operator. Motivated by some recent work, we study the standard indicator using the far-field operator and two indicators derived from the factorization method. We show equivalence of two indicators previously studied  as well as propose a new indicator based on the Tikhonov regularization applied to the far-field equation for the factorization method.Finally, we give some numerical examples to show how the reconstructions compare to other direct sampling methods.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000466266300002
DO  - DOI:10.1088/1361-6420/ab08be
UR  - https://juser.fz-juelich.de/record/861047
ER  -