A linear sampling method for detecting fluctuations of the wavefield in an elastic half-space

作者：Touhei Terumi^*; Fukushiro Yasufumi; Tanaka Takumi

来源：International Journal of Solids and Structures, 2015, 72: 26-37.

DOI：10.1016/j.ijsolstr.2015.07.008

• Linear sampling method
• Solvability index
• Inverse scattering problem
• Elastic half-space
• Fluctuation of the wavefield
• Projection theorem of a Hilbert space
• Singular value decomposition

A linear sampling method for an elastic half-space is developed to reconstruct fluctuations in the wave-field. The starting point of the formulation is the near-field equation that was also used by Baganas et al. (2006). Instead of examining the norm of the solution of the near-field equation, we define a solvability index in order to obtain the spatial distribution of the amplitude of the solvability index and thus describe the location of the fluctuations. A numerical method for the evaluation of the index is also provided for a simplified algorithm; this method is based on a projection theorem for a Hilbert space and a singular value decomposition. Numerical calculations were performed, and the results validated the efficiency of the proposed method for reconstructing the fluctuations of a wavefield.

• 出版日期2015-10-15