Rapid perturbational calculations for the Helmholtz equation in two dimensions (Q2470842)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rapid perturbational calculations for the Helmholtz equation in two dimensions |
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Rapid perturbational calculations for the Helmholtz equation in two dimensions (English)
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15 February 2008
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Previous approaches to the solution of the inverse scattering problems in two and three dimensions rely on linearization of the Helmholtz equation. Here the presented method is based on the merging and splitting procedures already established for the solution of the Lippmann-Schwinger equation. For an m-by-m wavelength problem, the algorithm obtains perturbations to scattered waves for m distinct incident waves in \(O(m^3)\) steps.
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scattering matrix merging
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formulae fast direct algorithms
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inverse scattering
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Helmholtz equation
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Lippmann-Schwinger equation
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algorithm
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