31 citations · 213 across the 40 of their papers we have counts for
16 papers · 1 filter
Paraxial wave propagation in random media with long-range correlations
Liliana Borcea, Josselin Garnier, Knut Solna
We study the paraxial wave equation with a randomly perturbed index of refraction, which can model the propagation of a wave beam in a turbulent medium. The random perturbation is…
Factorization method versus migration imaging in a waveguide
Liliana Borcea, Shixu Meng
We present a comparative study of two qualitative imaging methods in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and contains unknown obstacles…
Wave propagation in randomly perturbed weakly coupled waveguides
Liliana Borcea, Josselin Garnier
We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between…
A direct approach to imaging in a waveguide with perturbed geometry
Liliana Borcea, Fioralba Cakoni, Shixu Meng
We introduce a direct, linear sampling approach to imaging in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and has unknown geometry due to compa…
Wave propagation and imaging in moving random media
Liliana Borcea, Josselin Garnier, Knut Solna
We present a study of sound wave propagation in a time dependent random medium and an application to imaging. The medium is modeled by small temporal and spatial random fluctuation…
A ghost imaging modality in a random waveguide
Liliana Borcea, Josselin Garnier
We study the imaging of a penetrable scatterer, aka target, in a waveguide with randomly perturbed boundary. The target is located between a partially coherent source which transmi…