%0 Journal Article
%T On the scattered field generated by a ball inhomogeneity of constant index
%A Yves Capdeboscq
%J Mathematics
%D 2011
%I arXiv
%R 10.3233/ASY-2011-1080
%X 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 $\epsilon$.
%U http://arxiv.org/abs/1108.0615v2