31 citations · 213 across the 40 of their papers we have counts for
6 papers · 1 filter
Second-Harmonic Imaging in Random Media
Liliana Borcea, Wei Li, Alexander V. Mamonov +1
We consider the problem of optical imaging of small nonlinear scatterers in random media. We propose an extension of coherent interferometric imaging (CINT) that applies to scatter…
Pulse reflection in a random waveguide with a turning point
Liliana Borcea, Josselin Garnier
We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and va…
Imaging in random media with convex optimization
Liliana Borcea, Ilker Kocyigit
We study an inverse problem for the wave equation where localized wave sources in random scattering media are to be determined from time resolved measurements of the waves at an ar…
Time and direction of arrival detection and filtering for imaging in strongly scattering random media
Liliana Borcea, George Papanicolaou, Chrysoula Tsogka
We study detection and imaging of small reflectors in heavy clutter, using an array of transducers that emits and receives sound waves. Heavy clutter means that multiple scattering…
Robust imaging with electromagnetic waves in noisy environments
Liliana Borcea, Josselin Garnier
We study imaging with an array of sensors that probes a medium with single frequency electromagnetic waves and records the scattered electric field. The medium is known and homogen…
A discrete Liouville identity for numerical reconstruction of Schrödinger potentials
Liliana Borcea, Fernando Guevara Vasquez, Alexander V. Mamonov
We propose a discrete approach for solving an inverse problem for Schrödinger's equation in two dimensions, where the unknown potential is to be determined from boundary measuremen…