Location

La Jolla, CA

Start Date

1980 12:00 AM

Description

In contrast with the scalar wave case, the scattering of elastic waves in the long wavelength limit yields data containing a surprising amount of information concerning the nature of the scatterer. We will consider both deterministic and probabilistic versions of the inversion problem pertaining to the above scattering problem. The deterministic version provides theoretical insight into the "blindspots" of an optimal inversion procedure in the hypothetical limit of zero measurement error. The probabilistic version is appropriate for the interpretation of real data containing errors and possible inconsistencies. In the former category our-discussion will start with a review of earlier results obtained by Kohn and Rice, Gubernatis, and the author. Some new results dealing with ellipsoidal inclusions will be discussed.

Book Title

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

Chapter

11. Ultrasonics, Material Properties

Pages

514-520

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Deterministic and Probabilistic Inversion at Long Wavelengths

La Jolla, CA

In contrast with the scalar wave case, the scattering of elastic waves in the long wavelength limit yields data containing a surprising amount of information concerning the nature of the scatterer. We will consider both deterministic and probabilistic versions of the inversion problem pertaining to the above scattering problem. The deterministic version provides theoretical insight into the "blindspots" of an optimal inversion procedure in the hypothetical limit of zero measurement error. The probabilistic version is appropriate for the interpretation of real data containing errors and possible inconsistencies. In the former category our-discussion will start with a review of earlier results obtained by Kohn and Rice, Gubernatis, and the author. Some new results dealing with ellipsoidal inclusions will be discussed.