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Center For Applied and Computational Mathematics

Microlocal Analysis for Non-Destructive Imaging

Faculty: Raluca Felea

Summary:

We are interested in inverse scattering problems which arise in Synthetic Aperture Radar imaging (SAR).  An antenna on an aircraft emits waves to objects on the ground and the reflected waves are detected with the same antenna.  The received signals are then used to produce an image of the object.  The goal is to analyze the resulting image and determine the artifacts it may contain.

Publications:

  1. An FIO calculus for marine seismic imaging: folds and cross caps, R. Felea and A. Greenleaf, Communications in PDE.s Vol 33 (1), 2008.

  2. Displacement of artifacts in inverse scattering, R. Felea, Inverse Problems 23 (2007), pp. 1519-1531.

  3. Composition of Fourier integral operators with fold and blowdown singularities, R. Felea Communications in PDE.s Vol 30 (12), 2005.

Collaborators:

Allan Greenleaf (University of Rochester)
Cliff Nolan (University of Limerick, Ireland)