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Fast Magnetic Resonance Electrical Impedance Tomography with highly undersampled data
(2016)Research ReportReport -
Mathematical framework for abdominal electrical impedance tomography to assess fatness
(2016)Research ReportReport -
Elastic Scattering Coefficients and Enhancement of Nearly Elastic Cloaking
(2016)Research ReportReport -
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A signal separation technique for sub-cellular imaging using dynamic optical coherence tomography
(2016)Research ReportReport -
Shape reconstruction of nanoparticles from their associated plasmonic resonances
(2016)Research ReportWe prove by means of a couple of examples that plasmonic resonances can be used on one hand to classify shapes of nanoparticles with real algebraic boundaries and on the other hand to reconstruct the separation distance between two nanoparticles from measurements of their first collective plasmonic resonances. To this end, we explicitly compute the spectral decompositions of the Neumann-Poincar´e operators associated with a class of ...Report -
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Mathematical Analysis of Ultrafast Ultrasound Imaging
(2016)Research Report / Seminar for Applied MathematicsReport -
Effective medium theory for acoustic waves in bubbly fluids near Minnaert resonant frequency
(2016)Research ReportWe derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of identical small bubbles in a homogeneous fluid. Under certain conditions on the configuration of the bubbles, we justify the point interaction approximation and establish an effective medium theory for the ...Report