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Journal Article | FZJ-2019-01631 |
;
2019
Inst.
Bristol [u.a.]
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Please use a persistent id in citations: http://hdl.handle.net/2128/22141 doi:10.1088/1361-6420/ab08be
Abstract: 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.
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