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
DOI: 10.1016/j.cam.2015.03.033
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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.