New sets of eigenvalues in inverse scattering theory
Samual Cogar - Rutgers University
Location: Hill 423
Date & time: Wednesday, 02 October 2019 at 11:00AM - 12:20PM
Abstract: A recent area of interest in the inverse problems community has been the development and study of new eigenvalue problems arising from scattering theory. In addition to a purely mathematical motivation, these new classes of eigenvalues have the potential to serve as target signatures in nondestructive testing of materials. After a brief overview of recent work on this subject, I will introduce an eigenvalue method that is tailored to overcome the persistent difficulty of establishing the existence of eigenvalues for an absorbing medium. I will conclude with a variation of this method that improves the sensitivity of eigenvalues to changes in a medium, which will be supported by numerical examples.