Elastic wave scattering calculations, the Born series, and the matrix-variational Pade approximant method

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The matrix variational Pade approximant and its generalization to elastic wave scattering are discussed. Predictions of the method for the scattering of a longitudinal plane wave are compared with the exact scattering from spherical voids and inclusions. Its predictions are also compared to those of the first four partial sums of the Born Series for the scattered amplitude. Generally, the fourth partial sum and the variational results compare poorly with the exact results for ka less than or equal to 2 if the scatterer is strong, but compare well for ka less than or equal to 10 if the scatterer ... continued below

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Pages: 8

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Gubernatis, J.E. & Baker, G.A. Jr. January 1, 1981.

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The matrix variational Pade approximant and its generalization to elastic wave scattering are discussed. Predictions of the method for the scattering of a longitudinal plane wave are compared with the exact scattering from spherical voids and inclusions. Its predictions are also compared to those of the first four partial sums of the Born Series for the scattered amplitude. Generally, the fourth partial sum and the variational results compare poorly with the exact results for ka less than or equal to 2 if the scatterer is strong, but compare well for ka less than or equal to 10 if the scatterer strength is at best modest. The breakdown of the favorable comparison is traced to the divergence of the Born Series for strong scatterers. It is also demonstrated that by use of the N-point Pade approximant a good comparison with exact results can be obtained for all scatterer strengths.

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Pages: 8

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NTIS, PC A02/MF A01.

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  • AF/DARPA review of progress in quantitative NDE, Boulder, CO, USA, 2 Aug 1981

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  • Other: DE82002348
  • Report No.: LA-UR-81-3224
  • Report No.: CONF-810839-3
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 5997783
  • Archival Resource Key: ark:/67531/metadc1103725

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Office of Scientific & Technical Information Technical Reports

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  • January 1, 1981

Added to The UNT Digital Library

  • Feb. 18, 2018, 3:59 p.m.

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  • May 30, 2018, 3:31 p.m.

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Gubernatis, J.E. & Baker, G.A. Jr. Elastic wave scattering calculations, the Born series, and the matrix-variational Pade approximant method, article, January 1, 1981; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1103725/: accessed March 22, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.