Location

La Jolla, CA

Start Date

1980 12:00 AM

Description

Inverse elastic-wave scattering problems are shown to be ill-posed in general. Standard simplifying assumptions--the first Born approximation, the physical optics approximation, and the stopping power approximation of tomography--are shown to reduce to the same ill-posed mathematical problem, that of inverting a Fourier transform. Practical implications of this fact are illustrated with examples.

Book Title

Proceedings of the ARPA/AFML Review of Progress in Quantitative NDE

Chapter

12. Inversion Procedures

Pages

459-467

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Mathematical Principles of Data Inversion

La Jolla, CA

Inverse elastic-wave scattering problems are shown to be ill-posed in general. Standard simplifying assumptions--the first Born approximation, the physical optics approximation, and the stopping power approximation of tomography--are shown to reduce to the same ill-posed mathematical problem, that of inverting a Fourier transform. Practical implications of this fact are illustrated with examples.