Jean-Pierre Fouque

"Beat the Diffraction Limit":
Asymptotics for Time-Reversal in Random Media

 Abstract:I will present diffusion-approximation limit theorems which are used in
 the study of time-reversal for waves in random media in various regimes of separation of scales.
 In particular the following topics will be discussed:
 
      - From time-domain to multi-frequency domains through moments
        analysis.
      - Interactions between correlation lengths and wavelengths.
      - The highly contrasted layered case.
      - Stationary phases and diffusion-approximation.
      - Parabolic and white noise approximation in weakly fluctuating
        media.