Transmission eigenvalues and other spectra associated with inverse scattering problems



27/09/2018 - 11:00 Mr Houssem Haddar (CMAP, Ecole Polytechnique) Salle 106 - Batiment IMAG

Transmission eigenvalues correspond to frequencies for which there exists a (generalized) incident wave that does not scatter. This spectrum can be seen as the counter part of so-called resonances. We first review some recent methods to identify this spectrum from multistatic data. We then show how these methods can be used to identify other (artificially constructed) spectra associated with the scatterer that may have simpler structures and would be more relevant to address the inverse spectral problem.