Location

La Jolla, CA

Start Date

1979 12:00 AM

Description

It is shown that a family of scattering matrices for elastic and acoustic waves may be directly deduced from the boundary conditions at the surface of the defect, which in the present work is constrained to be a void or rigid immovable obstacle in a homogeneous isotropic medium, although the method can be readily generalized. From this family of matrices (which includes those derived and used by Waterman, and Pao and Varatharajulu) an optimum one may be chosen, and a criterion is given for doing so. This optimum T-matrix is numerically calculated for a variety of axially symmetric voids and obstacles and results are given for direct and mode-converted differential and total cross-sections.

Book Title

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

Chapter

11. Fundamentals and New Techniques

Pages

424-429

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Optimization of Scattering Matrix for Elastic Waves from Voids and Obstacles

La Jolla, CA

It is shown that a family of scattering matrices for elastic and acoustic waves may be directly deduced from the boundary conditions at the surface of the defect, which in the present work is constrained to be a void or rigid immovable obstacle in a homogeneous isotropic medium, although the method can be readily generalized. From this family of matrices (which includes those derived and used by Waterman, and Pao and Varatharajulu) an optimum one may be chosen, and a criterion is given for doing so. This optimum T-matrix is numerically calculated for a variety of axially symmetric voids and obstacles and results are given for direct and mode-converted differential and total cross-sections.