Splitting the far field pattern of the field scattered by small inclusions

Abstract

We consider the Helmholtz equation with small multiple electromagnetic inclusions in the two-dimensional free space. When the inclusions are small, we can simplify the far field pattern of the solution to an asymptotic formula. In this case, the far field pattern comes out as a sum of far field patterns which is scattered by each inclusion. We apply the far field splitting method derived in [1] to split the far field corresponding to each inclusion.