Direct and Inverse Elastic Scattering from Anisotropic Media
Author | : Gang Bao |
Publisher | : |
Total Pages | : 390 |
Release | : 2016 |
ISBN-10 | : OCLC:1303064123 |
ISBN-13 | : |
Rating | : 4/5 (23 Downloads) |
Book excerpt: Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational formulation in a truncated bounded domain and show uniqueness and existence of weak solutions by applying the Fredholm alternative and using properties of the Dirichlet-to-Neumann map in both two and three dimensions. The Fréchet derivative of the near-field solution operator with respect to the scattering interface is derived. As an application, we design a descent algorithm for recovering the interface from the near-field data of one or several incident directions and frequencies. Numerical examples in 2D are demonstrated to show the validity and accuracy of our methods.