Imaging the shape of an elastic heterogeneity by the T-matrix method

Xiao-fei Chen; Mohammad Al-Fares; Keiiti Aki

doi:10.1117/12.164831

1 December 1993 Imaging the shape of an elastic heterogeneity by the T-matrix method

Xiao-fei Chen, Mohammad Al-Fares, Keiiti Aki

Proceedings Volume 2033, Mathematical Methods in Geophysical Imaging; (1993) https://doi.org/10.1117/12.164831
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

In this paper we shall present a new inversion method. Instead of imaging the volume heterogeneity, we shall reconstruct the shape of a heterogeneity in a homogeneous elastic medium from the knowledge of the observed scattering waves, the known incident waves and the elastic parameters of the heterogeneity as well as the surrounding material. First, we shall derive an analytic forward formulation for the scattering problem due to an arbitrary shape elastic heterogeneity by incorporating the perturbation approach with the T-matrix method for SH case, then we shall establish the corresponding inverse formation based on our analytic forward formulation. Finally, we shall assess the validity of our inversion formulation and discuss its implementation.

Citation Download Citation

Xiao-fei Chen, Mohammad Al-Fares, and Keiiti Aki "Imaging the shape of an elastic heterogeneity by the T-matrix method", Proc. SPIE 2033, Mathematical Methods in Geophysical Imaging, (1 December 1993); https://doi.org/10.1117/12.164831

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