Inverse Scattering Problems in Time Dependent Random Media, Waveguides and Cavities
Abstract
In this proposal we study inverse scattering problems in four different areas of interest to the Air Force. The first project is relevant to imaging in tunnels, and is formulated mathematically as an inverse problem in a waveguide with variable geometry and bends. To image targets in such waveguides, it is essential to determine the geometry of the waveguide. The project is concerned with the tomographic estimation of this geometry, using measurements of travel times of the waveguide modes excited by pulses emitted from sources in the waveguide. The second project is on imaging in cavities connected to waveguides. The cavities model caves and the waveguides model tunnels. The goal of the project is to develop a linear sampling imaging method for determining the shape of the cavity and locating targets in the cavity, using measurements at an active array of sensors located in the waveguide. The third project is concerned with a new incoherent imaging approach in random waveguides, that works in very strong scattering regimes, where all known methods fail. It is based on the ghost imaging method developed recently in optics, and it considers two imaging modalities that are relevant in applications. The fourthproject is concerned with the development of a new imaging methodology in moving random media. It builds on a recently developed transport theory for waves in random media in translational motion and seeks to exploit motion effects for improved imaging.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 09, 2018
- Source ID
- FA95501810131
Entities
People
- Liliana Borcea
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Michigan