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001029538 1001_ $$0P:(DE-HGF)0$$aAyala, Rafael Ceja$$b0
001029538 245__ $$aInverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients
001029538 260__ $$aCham (ZG)$$bSpringer International Publishing AG$$c2024
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001029538 520__ $$aIn 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.
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001029538 7001_ $$00000-0002-9648-6476$$aHarris, Isaac$$b1$$eCorresponding author
001029538 7001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b2$$ufzj
001029538 773__ $$0PERI:(DE-600)2588449-9$$a10.1007/s13324-024-00950-x$$gVol. 14, no. 4, p. 90$$n4$$p90$$tAnalysis and Mathematical Physics$$v14$$x1664-2368$$y2024
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