Imaging for inverse scattering in Reflection Tomography

Dr. Hassan Mansour presents MERL's work on inverse scattering in reflection tomography at the Colorado School of Mines Fall 2020 EENG 500 Graduate Seminar

Relevant publications:

Abstract: The problem of estimating the material properties of an object by measuring the wavefields it scatters is prevalent in a variety of applications including ground penetrating radar, seismic imaging, and microscopy. We consider in this talk the nonlinear wave-equation formulation that accounts for multiple wave scattering, and focus particularly on the reflection tomography regime where inverting the wave-equation presents a computational bottleneck. The complexity arises from the limited availability of spatial frequencies in the received measurements as well as the ill-conditioning of the Helmholtz operator in the reflection tomography regime when the values of the wavenumber and the material contrast ratio are very large. To that end, we develop a sequential frequency inversion framework with adaptive parameter selection that enables image reconstruction in the highly scattering regime.