Department of Mathematics
Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern
© 2014 Society for Industrial and Applied Mathematics.We develop three inverse elastic scattering schemes for locating multiple small, extended, and multiscale rigid bodies, respectively. There are some salient and promising features of the proposed methods. The cores of these schemes are certain indicator functions, which are obtained by using only a single far-field pattern of the pressure (longitudinal) wave, or the shear (transversal) wave, or the total wave field. Though the inverse scat tering problem is known to be nonlinear and ill-posed, the proposed reconstruction methods are totally “direct,” and there are no inversions involved. Hence, the methods are very efficient and robust against noisy data. Both rigorous mathematical justifications and numerical simulations are presented in our study.
A single measurement, Indicator functions, Inverse elastic scattering, Locating schemes, Multiscale rigid bodies
Source Publication Title
SIAM Journal on Imaging Sciences
Society for Industrial and Applied Mathematics
Link to Publisher's Edition
Hu, Guanghui, Jingzhi Li, Hongyu Liu, and Hongpeng Sun. "Inverse elastic scattering for multiscale rigid bodies with a single far-field pattern." SIAM Journal on Imaging Sciences 7.3 (2014): 1799-1825.