Pedro Serranho 2006 Inverse Problems 22 663 doi:10.1088/0266-5611/22/2/017
Pedro Serranho
Show affiliationsWe present a hybrid method to numerically solve the inverse scattering problem for shape and impedance, given the far-field pattern for one incident direction. This method combines ideas of both iterative and decomposition methods, inheriting the advantages of each of them, such as getting good reconstructions and not needing a forward solver at each step. An optimization problem is presented as the theoretical background of the method and numerical results show its feasibility.
43.20.Fn Scattering of acoustic waves
02.30.Jr Partial differential equations
Issue 2 (April 2006)
Received 5 December 2005
Published 27 March 2006
Pedro Serranho 2006 Inverse Problems 22 663
Herbert Egger et al 2006 Inverse Problems 22 1247
Kamal Belkebir and Marc Saillard 2004 Inverse Problems 21 S1
Alan L Andrew 2005 Inverse Problems 21 223
A El Badia et al 2005 Inverse Problems 21 1121
M Bertero et al 1986 Inverse Problems 2 131
Hans Lundmark and Jacek Szmigielski 2003 Inverse Problems 19 1241
Koen Denecker et al 1998 Inverse Problems 14 615
J Madore 1992 Class. Quantum Grav. 9 69
K Shiraishi and S Hirenzaki 1992 Class. Quantum Grav. 9 2277