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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…
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,…