Scattering and Inverse Problems

People

  • Thomas Angell, Professor
     Optimization theory, inverse electromagnetic scattering, antenna theory

  • Constantin Bacuta, Associate Professor
     Multilevel finite element theory; applications in incompressible flows and electromagnetism

  • Fioralba Cakoni, Professor
     Mixed boundary value problems. Direct and inverse problems in acoustic, electromagnetic and elastic scattering and wave propagation

  • David Colton, UNIDEL Professor
     Inverse acoustic and electromagnetic scattering

  • Robert Gilbert, UNIDEL Professor
     Ocean acoustics, inverse scattering from poro-elastic bodies

  • George C. Hsiao,Carl Rees Professor of Mathematics
     Boundary integral equations, finite element methods. Applications in elasticity

  • Peter Monk, UNIDEL Professor
     Finite element methods, applications in computational electromagnetism and inverse problems

  • Yvonne Ou, Assistant Professor
     Dehomogenization, Inverse/direct acoustic scattering for waveguides, Time-reversal in layered elastic media

  • Rakesh, Professor
     Time domain inverse problems, uniqueness theorems

Research

Research in scattering theory is mainly focused on developing and analyzing algorithms for computing approximations to scattered acoustic and electromagnetic fields.  There is also a significant activity in antenna modeling.  Research on inversion techniques includes acoustic inverse problems in ocean acoustics, and electromagnetic inverse problems in complex environments.  Graduate students are welcome!


 
Inverse scattering reconstruction of an aluminium
triangle using measured microwave data. 
Created by Joe Coyle, a past graduate student.

Seminars

Graduate Studies

Students wishing to study scattering theory or inverse scattering usually enroll in the Applied Mathematics graduate program (see The Graduate Program web pages for more details). There are a number of courses for students interested in this area as well as topics courses. For example

Courses which are of particular interest to this area are:

Other courses in the Department of Mathematical Sciences of interest to students in scattering and inverse scattering are:

Funding

Besides the usual university and departmental funding for TAs and fellows some students are also supported directly by companies