Applied Math Seminar- Imaging and inverse scattering using ROM estimates of internal waves

Date and and Time: Friday, Feb. 4, 3:15-4:15 pm

Place: Zoom

Zoom link: https://gwu-edu.zoom.us/s/98013143310

passcode: 349324

Speaker: Jörn Zimmerling, Michigan University, James Van Loo Postdoctoral Fellow and Assistant Professor

Title: Imaging and inverse scattering using ROM estimates of internal waves

Abstract: In this talk, we approach inverse scattering and imaging problems from the angle of reduced order modeling. We consider an inverse scattering problem, where data are gathered by arrays of sensors that probe an unknown heterogeneous medium with waves and measure the returns. Rather than asking the question "which scattering medium could have caused the measured wave returns" directly, we first construct a reduced-order model from the measured data. Using this reduced order model, we can approximate the field inside the unknown medium. Using these internal waves, we propose novel qualitative and quantitative approaches to solve inverse problems and locate scatters.