Abstract
The problem of determining the shapes, sizes and material compositions of large inclusions embedded in elastic media from scattered elastic waves leads to the inverse scattering problems of the anisotropic linear elastic wave equations. Generalized Pulse-Spectrum Technique (GPST), a class of versatile and efficient Newton-like iterative algorithms with Tikhonov regularization, is used to solve this extremely difficult multi-parameter inverse problem. The summary of past and present applications of GPST to elastic inverse scattering problems are presented; in particular, the determination of shapes and sizes of large rigid near-spherical inclusions in an elastic medium from the scattered time-harmonic waves is described in detail. The future development of GPST and its tremendous potential for applications are discussed.
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