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SUMMARY:Josselin Garnier (Ecole Polytechnique)
DTSTART:20200618T160000Z
DTEND:20200618T170000Z
DTSTAMP:20260423T021145Z
UID:Inverse/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/10/"
 >Wave Propagation and Imaging in Random Media: From Gaussian to non-Gaussi
 an statistics</a>\nby Josselin Garnier (Ecole Polytechnique) as part of In
 ternational Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\nWe co
 nsider wave propagation and imaging in random media with the aim to descri
 be the wave statistics and to discuss correlation-based imaging. When scat
 tering is strong enough the coherent (mean) wave vanishes and the second-o
 rder moments of the wave field (more exactly\, the statistical Wigner tran
 sform) satisfies a radiative transfer equation. Under such circumstances t
 he wave correlations or Wigner transform should be used for correlation-ba
 sed imaging. In this talk we discuss the statistical stability of the empi
 rical Wigner transform. We discuss two regimes with different behaviors. I
 n the random paraxial regime the fluctuations of the smoothed Wigner trans
 form are small and correlation-based imaging is possible. In randomly pert
 urbed open waveguides the fluctuations of the mode powers and wave intensi
 ties grow exponentially and correlation-based imaging is challenging.\n
LOCATION:https://researchseminars.org/talk/Inverse/10/
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