# MS 03: Recent Developments on Inverse Scattering Problems

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

## Organizer

Gang Bao

## Abstract

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 KirschTowards the identification of compact perturbations of periodic layers - preliminary results |

Jun LaiForward and inverse scattering problems for multi-particle system via FMM and NUFFT |

Peijun LiStability in inverse source problems for wave propagation |

Shuai LuIncreasing stability in the inverse source problem with attenuation and many frequencies |

Bo ZhangInverse Scattering Problems With Phaseless Far-field Data |