Transmission Eigenvalues for Spherically Stratified Media

Abstract

The transmission eigenvalue problem plays a central role in the use of sampling methods to solve inverse scattering problem for acoustic and electromagnetic waves. In particular, it has been shown that the real transmission eigenvalues can be determined from the scattering data and used to obtain estimates on the index of refraction of the scattering object. The speaker and his collaborator concentrate on inverse problems in which the existence of complex eigenvalues is the main topic of discussion. It turns out that Mary Cartwright's class of entire functions of exponential type plays an important role. This is a joint work with Prof David Colton at the University of Delaware.

About the speaker

Prof. Yuk J. Leung received his PhD from the University of Michigan in 1978. He was a Visiting Member at the Institute for Advanced Study in Princeton in 1982. He is currently an Associate Professor in the Department of Mathematical Sciences at the University of Delaware.

Prof. Leung’s research interests include Classical Function Theory and Inverse Spectral Theory. He was on the editorial board (1995 – 1999) and the Chief Editor for several special issues of the Journal of Complex Variables and Applications.

About the program

For more information, please refer to the program website at http://iasprogram.ust.hk/inverseproblems.