1 citations · 1 across the 9 of their papers we have counts for
13 papers
Generalized Snell's laws for rough interfaces
Christophe Gomez, Knut Sølna
In this paper, we consider the reflection and transmission problem of waves by a rapidly oscillating rough interface that exhibits general mixing properties. Using an asymptotic an…
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab
Adel Messaoudi, Régis Cottereau, Christophe Gomez
This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scatterin…
Boundary effects in Radiative Transfer of acoustic waves in a randomly fluctuating half-space
Adel Messaoudi, Regis Cottereau, Christophe Gomez
This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study…
A Monte Carlo Method for 3D Radiative Transfer Equations with Multifractional Singular Kernels
Christophe Gomez, Olivier Pinaud
We propose in this work a Monte Carlo method for three dimensional scalar radiative transfer equations with non-integrable, space-dependent scattering kernels. Such kernels typical…
An effective fractional paraxial wave equation for wave-fronts in randomly layered media with long-range correlations
Christophe Gomez
This work concerns the asymptotic analysis of high-frequency wave propagation in randomly layered media with fast variations and long-range correlations. The analysis takes place i…
Rigorous derivation of Lindblad equations from quantum jumps processes in 1D
Christophe Gomez, Maxime Hauray
We are interested by the behaviour of a 1D single heavy particle, interacting with an environment made of very fast particles in a thermal state. Assuming that the interactions are…
Radiative transfer with long-range interactions: regularity and asymptotics
Christophe Gomez, Olivier Pinaud, Lenya Ryzhik
This work is devoted to radiative transfer equations with long-range interactions. Such equations arise in the modeling of high frequency wave propagation in random media with long…
Fractional White-Noise Limit and Paraxial Approximation for Waves in Random Media
Christophe Gomez, Olivier Pinaud
This work is devoted to the asymptotic analysis of high frequency wave propagation in random media with long-range dependence. We are interested in two asymptotic regimes, that we…
Loss of Resolution for the Time Reversal of Waves in Random Underwater Acoustic Channels
Christophe Gomez
In this paper we analyze a time-reversal experiment in a random underwater acoustic channel. In this kind of waveguide with semi-infinite cross section a propagating field can be d…
Wave Decoherence for the Random Schroedinger Equation with Long-Range Correlations
Christophe Gomez
In this paper, we study the decoherence of a wave described by the solution to a Schroedinger equation with a time-dependent random potential. The random potential is assumed to ha…
Radiative Transport Limit for the Random Schrödinger Equation with Long-Range Correlations
Christophe Gomez
In this paper we study the asymptotic phase space energy distribution of solution of the Schrödinger equation with a time-dependent random potential. The random potential is assume…
Wave Propagation in Underwater Acoustic Waveguides with Rough Boundaries
Christophe Gomez
In underwater acoustic waveguides a pressure field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper,…
Wave Propagation in Shallow-Water Acoustic Random Waveguides
Christophe Gomez
In shallow-water waveguides a propagating field can be decomposed over three kinds of modes: the propagating modes, the radiating modes and the evanescent modes. In this paper we c…