Matt Charnley

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Email: charnley at math dot rutgers dot edu

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Thesis Research

Thin Inhomogeneity

My thesis research was analyzing the conductivity problem in the case of thin inhomogeneities. In particular, I was looking at the case of a thin inhomogeneity with an open mid-curve and looked at the singularities that could develop around the endpoints of this curve. It turns out that these play a role in the analysis of the problem, but similar results to the case of a closed mid-curve can still be shown. More details can be found on the Thin Filaments page.

Radar Analysis

Object Scattering

Over the last few years, I have also done research with Prof. Aihua Wood at the Air Force Institute of Technology (AFIT) on through-the-wall imaging and radar analysis for Maxwell's Equations. This research involved creating a numerical algorithm for the 2-dimensional system and implementing a reconstruction algorithm for this system. More details on this work can be found on the Radar Analysis page.

For references to the papers and presentations that have come out of this research, as well as some of my other work in the past, look at my Publications page.