## 23 Citations

Kinetic Models for Imaging in Random Media

- PhysicsMultiscale Model. Simul.
- 2007

This work quantifies the influence of small objects on (i) the energy density measured at an array of detectors and (ii) the correlation between the wave field measured in the absence of the object and theWave field measuredIn the presence of the objects.

Self-averaging of kinetic models for waves in random media

- Physics
- 2007

Kinetic equations are often appropriate to model the energy density
of high frequency waves propagating in highly heterogeneous media.
The limitations of the kinetic model are quantified by the…

IMAGING USING TRANSPORT MODELS FOR WAVE–WAVE CORRELATIONS

- Physics
- 2011

We consider the imaging of objects buried in unknown heterogeneous media. The medium is probed by using classical (e.g. acoustic or electromagnetic) waves. When heterogeneities in the medium become…

Inverse problems in random media: a kinetic approach

- Mathematics
- 2008

We consider the validity and accuracy of kinetic equations to model the propagation of high frequency waves in highly heterogeneous media. The kinetic models are used to infer the macroscopic…

Inverse problems in random media: a kinetic approach

- Mathematics
- 2008

We consider the validity and accuracy of kinetic equations to model the propagation of high frequency waves in highly heterogeneous media. The kinetic models are used to infer the macroscopic…

One-dimensional transport equation models for sound energy propagation in long spaces: simulations and experiments.

- PhysicsThe Journal of the Acoustical Society of America
- 2010

The results suggest that the transport equation models are able to accurately model the sound field in a long space and are substantially less time consuming than the previous models.

Numerical observation of the equipartition regime in a 3D random elastic medium, and discussion of the limiting parameters

- PhysicsComput. Geosci.
- 2017

Correlations of heterogeneous wave fields propagating in homogeneous media

- Mathematics, Physics
- 2011

The paper concerns the analysis of the correlations of wave fields propagating in heterogeneous media. We show that selected field-field correlations asymptotically propagate in non-scattering media,…

Dynamics of Wave Scintillation in Random Media

- Mathematics
- 2010

This paper concerns the asymptotic structure of the scintillation function in the simplified setting of wave propagation modeled by an Itô–Schrödinger equation. We show that the size of the…

Correlation of ambient noise signals in the radiative transport regime

- Physics
- 2011

The cross correlation of the wave signals emitted by ambient noise sources can be used to estimate the Green’s function of the wave equation in an inhomogeneous medium. In this paper we clarify the…

## References

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Radiative transfer and diffusion of waves in a layered medium: new insight into coda Q

- Geology
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SUMMARY This paper is devoted to the study of the seismic coda in inhomogeneous media exhibiting a discontinuity of physical properties at a given depth, We focus on the problem of a layer overlying…

On the kinetic theory of wave propagation in random media

- MathematicsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- 1973

This paper considers the theory of the multiple scattering of waves in extensive random media. The classical theory of wave propagation in random media is discussed with reference to its practical…

Transport equations for waves in randomly perturbed Hamiltonian systems, with application to Rossby waves

- Physics, Mathematics
- 2005

Wave transport along surfaces with random impedance

- Physics
- 2000

We study transport and diffusion of classical waves in two-dimensional disordered systems and in particular surface waves on a flat surface with randomly fluctuating impedance. We derive from first…

On the Self-Averaging of Wave Energy in Random Media

- MathematicsMultiscale Model. Simul.
- 2004

It is shown that wave energy is not stable, and instead scintillation is created by the wave dynamics, when the initial energy distribution is sufficiently singular.

Higher-Order Numerical Methods for Transient Wave Equations. Scientific Computation

- Physics, Computer Science
- 2002

Solving efficiently the wave equations involved in modeling acoustic, elastic or electromagnetic wave propagation remains a challenge both for research and industry. To attack the problems coming…

Time Reversal in Changing Environments

- PhysicsMultiscale Model. Simul.
- 2004

This paper analyzes the refocusing properties of time-reversed acoustic waves that propagate in different media during the forward and backward propagation phases. We show how the refocused signal is…

Polarization effects of seismic waves on the basis of radiative transport theory

- Geology
- 2000

Summary
Radiative transfer theory provides a good framework for the study of multiple scattering in the randomly inhomogeneous lithosphere. Envelopes of high-frequency seismograms (mainly S coda…