On the scattering amplitudes for elastic waves (Q1097738)
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scientific article; zbMATH DE number 4035279
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the scattering amplitudes for elastic waves |
scientific article; zbMATH DE number 4035279 |
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On the scattering amplitudes for elastic waves (English)
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1987
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The authors prove reciprocity and scattering theorems for the normalized spherical scattering amplitude for elastic waves with respect to the boundary problems: rigid scatterer, cavity and penetrable scattering region. Reciprocity relations of the radial-radial, radial-angular, and angular-angular type are estalished, depending on the polarization of the two incident waves. Radial and angular scattering theorems are also provided, which express the corresponding scattering amplitudes via integrals of the amplitudes over all directions of observation.
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general time dependent problem
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family of stationary problems
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parametrized by angular frequency
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time harmonic dependence
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hyperbolic problem in space-time
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elliptic problem in space
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longitudinal plane wave
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transverse plane wave
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scattering theorems
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normalized spherical scattering amplitude
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elastic waves
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boundary problems
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rigid scatterer
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cavity
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penetrable scattering region
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Reciprocity relations
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radial- radial
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radial-angular
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angular-angular type
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polarization
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