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SUMMARY:Quantitative Imaging Using Averaged Steklov Eigenvalues - Houssem 
  Haddar (INRIA)
DTSTART:20260416T130000Z
DTEND:20260416T140000Z
UID:TALK244036@talks.cam.ac.uk
DESCRIPTION:Inspired by the so-called transmission eigenvalues\, a new cla
 ss of simple spectra for inverse scattering problems is introduced. These 
 spectra can be interpreted&nbsp\;as averaged Steklov eigenvalues. We first
  present the general structure of the associated eigenvalue problems\, and
  then show how the corresponding eigenvalues&nbsp\;can be reconstructed fr
 om multi-static data at a fixed frequency using the inside&ndash\;outside 
 duality method.The simplicity of the spectrum enables the design of an eff
 icient\, non-iterative inversion method for identifying macroscopic indica
 tor functions in highly cluttered&nbsp\;media. Numerical results based on 
 synthetic data are provided to illustrate and validate the theoretical fin
 dings. Finally\, we discuss possible extensions to&nbsp\;electromagnetic p
 roblems and anisotropic media.This work is based on a collaboration with L
 . Audibert\, M. Chavanne\, and F. Pourre.
LOCATION:Seminar Room 1\, Newton Institute
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