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physics.class-ph2022
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…
math.NA2022
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…
math-ph2022
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…