On the scattered field generated by a ball inhomogeneity of constant index
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 an...
| Váldodahkki: | |
|---|---|
| Materiálatiipa: | Journal article |
| Giella: | English |
| Almmustuhtton: |
Society for Industrial and Applied Mathematics
2012
|
| Čoahkkáigeassu: | 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 $\epsilon$. |
|---|