This lecture will cover selected topics from the scattering theory. Among these are: mathematical models for acoustic and electromagnetic scattering problems, ill-posed problems and regularizations, well-posedness of direct scattering problems, uniqueness and numerical methods of inverse scattering problems.
Students will learn the mathematical model for direct and inverse acoustic and electromagnetic scattering problems, the analytic tools to solve the direct problems, and the numerical methods to solve the inverse problems.
Recommended literature:
- F. Cakoni and D. Colton, Qualitative Methods in Inverse Scattering Theory, Springer Verlag, 2006.
- D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, Springer Verlag, third edition, 2013.
- A. Kirsch and F. Hettlich, The Mathematical Theory of Time-Harmonic Maxwell's Equations, Springer Verlag, third edition, 2014.
- Trainer/in: Jörg Liesen
- Trainer/in: Ruming Zhang