TY - GEN

T1 - APPLICATION OF MULTIPLE SCATTERING THEORY TO SUB-SURFACE DEFECTS.

AU - Domany, E.

AU - Entin-Wohlman, O.

PY - 1984

Y1 - 1984

N2 - A recently developed multiple scattering formalism is applied to treat scattering of elastic waves by subsurface defects. In particular, the problem of a spherical cavity near a stress free surface is considered. The spherical cavity is viewed as one scatterer, and the stress free plane (reflector) as the second. The solution to the sub-surface cavity is then represented as an expansion in the two scattering processes. This expansion is truncated after a finite number of terms; namely, only processes that include single scattering by the sphere are kept. The multiple scattering formalism is reviewed, and physical interpretation of the various terms in the expansion is presented. Then the contribution of each term is expressed in terms of scattering amplitudes of a spherical cavity in an infinite medium and the reflection coefficients of a stress-free planar surface. The results are summarized in terms of graphs of scattered amplitude as a function of frequency and scattering angle. An example of titanium testing is presented.

AB - A recently developed multiple scattering formalism is applied to treat scattering of elastic waves by subsurface defects. In particular, the problem of a spherical cavity near a stress free surface is considered. The spherical cavity is viewed as one scatterer, and the stress free plane (reflector) as the second. The solution to the sub-surface cavity is then represented as an expansion in the two scattering processes. This expansion is truncated after a finite number of terms; namely, only processes that include single scattering by the sphere are kept. The multiple scattering formalism is reviewed, and physical interpretation of the various terms in the expansion is presented. Then the contribution of each term is expressed in terms of scattering amplitudes of a spherical cavity in an infinite medium and the reflection coefficients of a stress-free planar surface. The results are summarized in terms of graphs of scattered amplitude as a function of frequency and scattering angle. An example of titanium testing is presented.

UR - http://www.scopus.com/inward/record.url?scp=0021616494&partnerID=8YFLogxK

U2 - 10.1007/978-1-4684-1194-2_9

DO - 10.1007/978-1-4684-1194-2_9

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AN - SCOPUS:0021616494

SN - 0306416786

SN - 9780306416781

T3 - Review of Progress in Quantitative Nondestructive Evaluation

SP - 95

EP - 109

BT - Review of Progress in Quantitative Nondestructive Evaluation

PB - Plenum Press

ER -