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Applied Math Seminar Series 11/4/16

Date: 
November 4, 2016 - 3:00pm

Flyer File

Chrysoula Tsogka, University of Crete

Abstract:

This talk concerns the problem of active array imaging of weak localized scatterers in randomly inhomogeneous media when only intensities are measured. To image we propose a methodology based on cross-correlations, which can be obtained from multiple-frequency intensity only measurements. The cross-correlations are the elements of the time reversal matrix for one receiver and multiple sources emitting at multiple stepped frequencies. We show how the time-reversal matrix can be obtained from intensity only measurements using an appropriate illumination strategy and the polarization identity. Imaging is based on back-propagating the elements of the time reversal matrix that correspond to cross-correlations at nearby frequencies and for nearby sources. A simple linear algebra implementation of the thresholding operation is implemented using a mask, that is a matrix with only zero and one elements. The robustness of our approach is illustrated with several numerical simulations carried out in an optical imaging regime.

Location

Location: 
Student Services Building 120

Contact Information

Name: 
Francois Blanchette
Title: 
Associate Professor
Department: 
School of Natural Sciences, Applied Mathematics