MS 03: Recent Developments on Inverse Scattering Problems

Mon, 27 March, 2017, 13:30–15:30, Room: SP2 416


Gang Bao


Inverse scattering problems arise in diverse areas of industrial and military applications, such as nondestructive testing, seismic imaging, submarine detections, near-field and nano optical imaging, and medical imaging. A model scattering (direct) problem is concerned with a given wave incident on a medium enclosed by a bounded domain. The problemis to determine the scattered field or the energy distribution for the known scatterer. The inverse problem is to determine the scatterer from the boundary measurements of the fields. Although this is a classical problem in mathematical physics, mathematical issues and numerical solution of the inverse problemremain to be challenging since the problem is nonlinear, large-scale, and most of all ill-posed! The severe ill-posedness has thus far limited in many ways the scope of inverse problem methods in practical applications. It also presents great opportunities for a source of many exciting new problems in mathematical modeling, analysis, and computation.
The minisymposium will focus on most recent developments of inverse scattering problems. Topics of particular interest include inverse scattering by multiple frequency boundary measurements, direct imaging methods for inverse scattering, stability analysis for inverse scattering, inverse scattering of radom source problems, breaking the diffraction limit vis inverse scattering, and inverse scattering in elasticity.

List of speakers

Andreas Kirsch
Towards the identification of compact perturbations of periodic layers - preliminary results
Jun Lai
Forward and inverse scattering problems for multi-particle system via FMM and NUFFT
Peijun Li
Stability in inverse source problems for wave propagation
Shuai Lu
Increasing stability in the inverse source problem with attenuation and many frequencies
Bo Zhang
Inverse Scattering Problems With Phaseless Far-field Data