Do corners always scatter?
Analysis of PDEs
2017-10-04 v2 Mathematical Physics
math.MP
Abstract
We 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.
Keywords
Cite
@article{arxiv.1211.1848,
title = {Do corners always scatter?},
author = {Eemeli Blåsten and Lassi Päivärinta and John Sylvester},
journal= {arXiv preprint arXiv:1211.1848},
year = {2017}
}