Inverse scattering in waveguides: The research in this area focuses on the reconstruction of velocity inhomogeneities from point source data for the wave equation, and on the study of global uniqueness for the reconstruction of the refraction index from the DtN map for the Helmholtz equation, on complex geometric optics for waveguides as well as on the reconstruction of hard obstacles in homogeneous wave guides. Inverse problems for non-homogeneous acoustic and elastic waveguides are studied with new imaging functionals such as quantum fidelity and Loschmidt echo, by exploiting aspects of chaotic ray dynamics.
A. ONGOING PROJECTS
B. COMPLETED PROJECTS