A computational and theoretical study of forward and inverse scattering problems in heterogeneous media
Abstract
This collaborative proposal is concerned with two main themes: (1) The development of a novel methodology for active array imaging in heterogeneous media. (2) The analysis of beam propagation in moving cluttered media, and the detection and localization of beams from remote spectral measurements. For the first theme, we build on our recent advances in model reduction for inversion to obtain efficient imaging algorithms that are robust to noise, modeling error and clutter. We study imaging with both sound and electromagnetic waves, in either broadband regimes or for multi-frequency time harmonic waves, and pursue questions that are relevant to applications in ultrasonic nondestructive testing of structures such as airplane wings, and in imaging in strong clutter. For the second theme we study the interaction of sonar and electromagnetic beams in moving cluttered media, with the goal of quantifying the cumulative scattering effects on the beam at long distances of propagation. These include beam spreading, transport of energy, depolarization and beam scintillation. We also seek to understand if it is possible to detect and localize a (laser) beam from measurements of the spectrum at remote locations off the beam axis.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 04, 2017
- Source ID
- N000141712057
Entities
People
- Liliana Borcea
Organizations
- Board of Regents of the University of Michigan
- Office of Naval Research
- United States Navy