Do corners always scatter? [PDF]
Eemeli Blåsten, Lassi Päivärinta, John SylvesterWe study time harmonic scattering for the Helmholtz equation in Rn. We show that certain penetrable scatterers with rectangular corners scatter every incident wave nontrivially. Even though these scatterers have interior transmission eigenvalues, the relative scattering (a.k.a. far field) operator has a trivial kernel and cokernel at every real wavenumber.View original: http://arxiv.org/abs/1211.1848
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