The No Response Test for the reconstruction of polyhedral objects in electromagnetics

We develope a No Response Test for the reconstruction of some polyhedral obstacle from one or few time-harmonic electromagnetic incident waves in electromagnetics. The basic idea of the test is to probe some region in space with waves which are small on some test domain and, thus, do not generate a response when the scatterer is inside of this test domain. This is the first formulation of the No Response Test for electromagnetics. We will prove convergence of the method for testing a non-vibrating domain B whether the far field pattern of some scattered time-harmonic field is analytically extendable into the interior of B. We will describe algorithmical realizations of the No Response Test. Finally, we will show the feasibility of the method by reconstruction of polygonal objects in three dimensions.