Numerical approximation of the potential in the two-dimesional inverse scattering problem (Q2786440)
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scientific article; zbMATH DE number 6541313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical approximation of the potential in the two-dimesional inverse scattering problem |
scientific article; zbMATH DE number 6541313 |
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Numerical approximation of the potential in the two-dimesional inverse scattering problem (English)
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12 February 2016
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inverse scattering
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Lippmann-Schwinger equation
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Born approximation
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far field pattern
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Helmholtz equations
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iterative algorithm
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numerical experiments
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The paper studies the inverse scattering problem of recovering the potential from the knowledge of the far field pattern for the two-dimensional Helmholtz equations. A fixed point iterative algorithm based on the Lippmann-Schwinger equation and the definition of the far field pattern is proposed. Various issues concerning the implementation of the iterative algorithm are considered. Some numerical experiments are reported.
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