activity
20112026
most citedA model reduction approach to numerical inversion for a parabolic partial differential equation

31 citations · 213 across the 40 of their papers we have counts for

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Showing 2015Show all

5 papers · 1 filter

math.NA2015

Imaging with electromagnetic waves in terminating waveguides

Liliana Borcea, Dinh-Liem Nguyen

We study an inverse scattering problem for Maxwell's equations in terminating waveguides, where localized reflectors are to be imaged using a remote array of sensors. The array pro…

math.AP2015★ 16 cited

Derivation of a one-way radiative transfer equation in random media

Liliana Borcea, Josselin Garnier

We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an…

math.AP2015

Polarization effects for electromagnetic wave propagation in random media

Liliana Borcea, Josselin Garnier

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, calle…

math.OC2015

Synthetic Aperture Imaging of Direction and Frequency Dependent Reflectivities

Liliana Borcea, Miguel Moscoso, George Papanicolaou +1

We introduce a synthetic aperture imaging framework that takes into consideration directional dependence of the reflectivity that is to be imaged, as well as its frequency dependen…

math.NA2015

Resolution analysis of imaging with optimization

Liliana Borcea, Ilker Kocyigit

We study array imaging of a sparse scene of point-like sources or scatterers in a homogeneous medium. For source imaging the sensors in the array are receivers that collect measure…