The Born approximation in the theory of the scattering of elastic waves by flaws

作者: J. E. Gubernatis , E. Domany , J. A. Krumhansl , M. Huberman

DOI: 10.1063/1.324142

关键词: Integral equationBorn approximationOrder of magnitudeClassical mechanicsPhysicsScatteringWave propagationWavelengthScattering amplitudeHigh frequency approximation

摘要: We used the integral equation formulation of scattering elastic waves to generate an approximate solution analogous Born approximation in quantum mechanics. This is attractive because ease with which it may be applied scatterers complicated shapes. investigated validity by comparing exact results for spherical scatterers. Our conclusion voids media that describes well when wavelength incident wave approximately order magnitude larger than scatterer and viewed backscattered directions. For many applications this range experimentally accessible. inclusions, however, where properties defect host differed 20–40%, surprisingly good all angles even at short wavelengths.

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