Wave Propagation and Time Reversal in Randomly Layered Media

@inproceedings{Fouque2007WavePA,
  title={Wave Propagation and Time Reversal in Randomly Layered Media},
  author={Jean-Pierre Fouque and Josselin Garnier and George C Papanicolaou and Knut S{\o}lna},
  year={2007}
}
and Overview of the Book.- Waves in Homogeneous Media.- Waves in Layered Media.- Effective Properties of Randomly Layered Media.- Scaling Limits.- Asymptotics for Random Ordinary Differential Equations.- Transmission of Energy Through a Slab of Random Medium.- Wave-Front Propagation.- Statistics of Incoherent Waves.- Time Reversal in Reflection and Spectral Estimation.- Applications to Detection.- Time Reversal in Transmission.- Application to Communications.- Scattering by a Three-Dimensional… 
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References

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Stochastic Calculus
The following notes aim to provide a very informal introduction to Stochastic Calculus, and especially to the Itô integral and some of its applications. They owe a great deal to Dan Crisan's
Time reversal.
Random Waveguide
  • Random Waveguide
172 6.9.1 Quadratic Variation of a Continuous Martingale . . . . . . . 172 14.1.2 The Diffusion Approximation Regime
  • 172 6.9.1 Quadratic Variation of a Continuous Martingale . . . . . . . 172 14.1.2 The Diffusion Approximation Regime
Shift Properties
  • Shift Properties
567 20.4.1 Integral Representation of the Transmitted Field . . . . . . 567 20.4.2 Broadband Pulse Propagation in a
  • Homogeneous Waveguide
571 XX Contents 20
  • Time Reversal in Waveguides . . . . . . . . . . . . . . . . . . . . . . . Integral Representation of the Broadband Refocused Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Statistics of the Transmission Coefficients at Two Nearby Frequencies
5 Diffusion Approximation with Fast Oscillations
  • 5 Diffusion Approximation with Fast Oscillations
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 599 Index
  • References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 599 Index
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