Determining planar multiple sound-soft obstacles from scattered acoustic fields

A. Carpio, B.T. Johansson, M.-L. Rapún

    Research output: Contribution to journalArticlepeer-review


    An inverse problem is considered where the structure of multiple sound-soft planar obstacles is to be determined given the direction of the incoming acoustic field and knowledge of the corresponding total field on a curve located outside the obstacles. A local uniqueness result is given for this inverse problem suggesting that the reconstruction can be achieved by a single incident wave. A numerical procedure based on the concept of the topological derivative of an associated cost functional is used to produce images of the obstacles. No a priori assumption about the number of obstacles present is needed. Numerical results are included showing that accurate reconstructions can be obtained and that the proposed method is capable of finding both the shapes and the number of obstacles with one or a few incident waves.
    Original languageEnglish
    Pages (from-to)185-199
    Number of pages15
    JournalJournal of Mathematical Imaging and Vision
    Issue number2
    Early online date16 Dec 2009
    Publication statusPublished - Feb 2010


    • shape reconstruction
    • topological derivative
    • scattering
    • sound-soft obstacles
    • acoustic waves


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