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search.filters.applied.f.access: openAccess × Author: Elschner, Johannes × End date: 2009 × DDC: 510 × Type: Text × Subject: uniqueness ×

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    Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Elschner, Johannes; Yamamoto, Masahiro
    We consider the inverse acoustic scattering problem of determining a sound-hard obstacle by far field measurements. It is proved that a polyhedral scatterer in $R^n, nge 2$, consisting of finitely many solid polyhedra, is uniquely determined by a single incoming plane wave.
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    Uniqueness in inverse elastic scattering with finitely many incident waves
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2009) Elschner, Johannes; Yamamoto, Masahiro
    We consider the third and fourth exterior boundary value problems of linear isotropic elasticity and present uniqueness results for the corresponding inverse scattering problems with polyhedral-type obstacles and a finite number of incident plane elastic waves. Our approach is based on a reflection principle for the Navier equation.