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20042022
most citedGenealogical particle analysis of rare events

144 citations · 525 across the 23 of their papers we have counts for

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15 papers · 1 filter

math.AP2022

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…

math.AP2022

Speckle Memory Effect in the Frequency Domain and Stability in Time-Reversal Experiments

Josselin Garnier, Knut Solna

When waves propagate through a complex medium like the turbulent atmosphere the wave field becomes incoherent and the wave intensity forms a complex speckle pattern. In this paper…

math.AP2020

Low-frequency source imaging in an acoustic waveguide

Josselin Garnier

Time-harmonic far-field source array imaging in a two-dimensional waveguide is analyzed. A low-frequency situation is considered in which the diameter of the waveguide is slightly…

math.AP2019

Intensity fluctuations in random waveguides

Josselin Garnier

An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of the guided mode powers. The main…

math.AP2019

How a moving passive observer can perceive its environment ? The Unruh effect revisited

Mathias Fink, Josselin Garnier

We consider a point-like observer that moves in a medium illuminated by noise sources with Lorentz-invariant spectrum. We show that the autocorrelation function of the signal recor…

math.AP2018

Acoustic and geoacoustic inverse problems in randomly perturbed shallow-water environments

Laure Dumaz, Josselin Garnier, Guilhem Lepoultier

The main goal of this paper is to estimate the regional acoustic and geoacoustic shallow-water environment from data collected by a vertical hydrophone array and transmitted by dis…