Multifrequency inverse source problems and a generalization of Prony's methodMS1

We consider a multifrequency inverse source problem for time-harmonic acoustic or electromagnetic waves. Assuming that far field measurements of the wave radiated by a collection of compactly supported sources are available across a whole frequency band but only at a few observation directions, we develop a non-iterative reconstruction scheme to locate the support of the sources. The method produces a union of convex polygons that approximate the positions and the geometry of well-separated source components.

This presentation is part of Minisymposium “MS1 - Inverse scattering and electrical impedance tomography (2 parts)
organized by: Nuutti Hyvönen (Aalto University) , Roland Griesmaier (Karlsruhe Institute of Technology) .

Roland Griesmaier (Karlsruhe Institute of Technology)
Christian Schmiedecke (Universität Würzburg)