Konstantinos Baganas et al 2006 Inverse Problems 22 1835 doi:10.1088/0266-5611/22/5/018
Konstantinos Baganas1, Bojan B Guzina2, Antonios Charalambopoulos1 and George D Manolis3
Show affiliationsElastic-wave shape reconstruction of buried penetrable scatterers from near-field surface measurements is examined within the framework of the linear sampling method. The proposed inversion scheme is based on a linear integral equation of the first kind whose solution becomes unbounded as the (trial) source point of the reference Green's function approaches the boundary of an elastic scatterer from its interior. We provide a comprehensive theoretical setting to establish (i) the necessary transmission problems for near-field elastodynamics and (ii) solvability properties of the postulated linear equation in the context of penetrable obstacles. A set of numerical results with simply and multiply connected elastic scatterers is included to illustrate the performance of the reconstruction technique.
Issue 5 (October 2006)
Received 29 March 2006
Published 18 September 2006
Konstantinos Baganas et al 2006 Inverse Problems 22 1835
Ming-Hsien Wu and George M Whitesides 2002 J. Micromech. Microeng. 12 747
Dmitry Turaev and Vered Rom-Kedar 1998 Nonlinearity 11 575
Wathiq N Abdul-Razzaq et al 2008 Phys. Educ. 43 206
Feng Yang et al 2009 J. Phys. D: Appl. Phys. 42 072004
M Katsikini et al 2009 J. Phys.: Conf. Ser. 190 012204
Dongge Ma et al 2002 J. Phys. D: Appl. Phys. 35 520
J Tonishi et al 2006 J. Phys.: Conf. Ser. 51 275
V Sampath 2005 Smart Mater. Struct. 14 S253
Jing Wang et al. 1998 ApJ 509 93