Elastic wave scattering calculations, the Born series, and the matrix-variational Pade approximant method
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.
- Research Organization:
- Los Alamos Scientific Lab., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5997783
- Report Number(s):
- LA-UR-81-3224; CONF-810839-3; ON: DE82002348
- Country of Publication:
- United States
- Language:
- English
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