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SUMMARY:Detection of an unbounded thin waveguide in the Helmholtz equation
  in the plane. - Matias Courdurier (Pontificia Universidad Católica de Ch
 ile)
DTSTART:20230519T123000Z
DTEND:20230519T133000Z
UID:TALK198148@talks.cam.ac.uk
DESCRIPTION:We consider the solutions of the Helmholtz equation in the two
 -dimensional space in the presence of an unbounded thin waveguide layer wi
 th a high contrast index of refraction. We are interested in the identific
 ation of some parameters of the waveguide from its response to a localized
  excitation. This is related to some inverse problems appearing in seismol
 ogy for layered media and in optical or sound probing of laminated media. 
 In this study\, for identification purposes\, we will exploit an interesti
 ng phenomenon. When the medium is excited by an external point source in a
  wide range of frequencies\, it can be observed that at some given frequen
 cies the behavior of the solution abruptly changes. To properly characteri
 ze this phenomenon\, we perform an asymptotic analysis of the explicitly s
 olution of the Helmholtz equation\, in the two-dimensional space\, in the 
 presence of an unbounded waveguide.\nThis is a joint work with Eric Bonnet
 ier\, Faouzi\, Triki and Axel Osses.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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