Inverse scattering theory for wave equations in stratified media (Q1365214)
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scientific article; zbMATH DE number 1054114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inverse scattering theory for wave equations in stratified media |
scientific article; zbMATH DE number 1054114 |
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Inverse scattering theory for wave equations in stratified media (English)
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3 December 1997
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It is proved that the scattering matrix at a fixed positive energy determines uniquely the wave velocity which is assumed to depend asymptotically on one variable (the vertical coordinate). The velocity approaches its limit at infinity at an exponential rate. This limit is a piecewise constant velocity which depends on the vertical coordinate only and has just one jump (that is, it is a step function).
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scattering matrix
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wave velocity
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