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

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

We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a ball of radius ε and another one outside.In this paper, we report that the results recently obtained in the two dimensional case in [Cap12] can be easily extended to …