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• W1984351441 endingPage "035022" @default.
• W1984351441 startingPage "035022" @default.
• W1984351441 abstract "This paper concerns an extension of the topological derivative concept for 3D inverse acoustic scattering problems, whereby the featured cost function J is expanded in powers of the characteristic size e of a sound-hard scatterer about e = 0. The O(e6) approximation of J is established for a small scatterer of arbitrary shape of given location embedded in an arbitrary acoustic domain, and generalized to several such scatterers. Simpler and more explicit versions of this result are obtained for a centrally-symmetric scatterer and a spherical scatterer. An approximate and computationally fast global search procedure is proposed, where the location and size of the unknown scatterer is estimated by minimizing the O(e6) approximation of J over a search grid. Its usefulness is demonstrated on numerical experiments, where the identification of a spherical, ellipsoidal or banana-shaped scatterer embedded in a acoustic half-space from known acoustic pressure on the surface is considered." @default.
• W1984351441 created "2016-06-24" @default.
• W1984351441 creator A5014740141 @default.
• W1984351441 date "2008-05-14" @default.
• W1984351441 modified "2023-10-15" @default.
• W1984351441 title "Inverse acoustic scattering by small-obstacle expansion of a misfit function" @default.
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• W1984351441 doi "https://doi.org/10.1088/0266-5611/24/3/035022" @default.
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