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An iterative decomposition method for scatterer reconstruction in R3

  • Juan Liu [1] ; Lu Dai [2]
    1. [1] Jinan University

      Jinan University

      China

    2. [2] Sun Yat-sen University

      Sun Yat-sen University

      China

  • Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 287, Nº 1 (15 October 2015), 2015, págs. 148-161
  • Idioma: inglés
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  • Resumen
    • In this paper we investigate an iterative method to reconstruct the unknown scatter in R3, with only the far-field pattern for just one incident wave. We introduce a general boundary condition and prove its Fréchet derivative. Then this iterative method is able to implement without the boundary condition of the scatterer provided. In practical, one can obtain a better reconstruction without a forward solver at each step. The numerical experiments show the feasibility of this method.


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