Boundary integral equations for acoustical inverse sound-soft scattering

O. Ivanyshyn, B.T. Johansson

    Research output: Contribution to journalArticlepeer-review


    The shape of a plane acoustical sound-soft obstacle is detected from knowledge of the far field pattern for one time-harmonic incident field. Two methods based on solving a system of integral equations for the incoming wave and the far field pattern are investigated. Properties of the integral operators required in order to apply regularization, i.e. injectivity and denseness of the range, are proved.
    Original languageEnglish
    Pages (from-to)65–78
    Number of pages14
    JournalJournal of Inverse and Ill-Posed Problems
    Issue number1
    Early online date5 Mar 2008
    Publication statusPublished - Mar 2008


    • far field pattern
    • ill-posed
    • Newton method
    • sound-soft
    • inverse scattering


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