-----------------------------------------------------------
Applied Mathematics Colloquium
Friday, December 8, 2006, 11:30 am
Cullimore Lecture Hall II
New Jersey Institute of Technology
-----------------------------------------------------------
Electromagnetic Imaging of Small Inhomogeneities
Michael Vogelius
Department of Mathematics
Rutgers University
New Brunswick, NJ
Abstract
I shall start by giving a brief survey of theoretical as well as practical
(computational reconstruction-)results concerning the determination
of small inhomogeneities from electromagnetic boundary data.
Important tools are very precise asymptotic representation formulas
for the field perturbations caused by small inhomogeneities.
After a thorough discussion of such formulas and their derivation
at zero and fixed, finite frequency I shall turn to discuss some
very recent partial results that pertain to broad bands of
(arbitrarily high) frequencies.