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arXiv · 1108.0615

On the scattered field generated by a ball inhomogeneity of constant index

Yves Capdeboscq
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Abstract

We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a disk of radius $\epsilon$ and another one outside. We derive sharp estimates of the size of the scattered field caused by this disk inhomogeneity, for any frequencies and any contrast. We also provide a broadband estimate, that is, a uniform bound for the scattered field for any contrast, and any frequencies outside of a set which tend to zero with $\epsilon$.

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Yves Capdeboscq. 2011-08-02. On the scattered field generated by a ball inhomogeneity of constant index. https://doi.org/10.3233/asy-2011-1080

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