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000861047 1001_ $$0P:(DE-HGF)0$$aHarris, Isaac$$b0
000861047 245__ $$aAnalysis of new direct sampling indicators for far-field measurements
000861047 260__ $$aBristol [u.a.]$$bInst.$$c2019
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000861047 520__ $$aThis 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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000861047 7001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b1$$eCorresponding author
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