Abstract: An acoustic medium occupying a compact domain with non-constant sound speed is probed by an impulsive plane wave, and the far-field medium response is measured in all directions for all frequencies. A longstanding open problem, called the fixed angle scattering inverse problem, is the recovery of the sound speed from this far-field response. We consider a time domain, near field version of this problem and show that natural fixed angle measurements distinguish between a constant velocity medium and a non-constant velocity medium. Time-dependent velocities (Lorentzian metrics) are also discussed.
Talk is based on joint work with Rakesh (Delaware) and Mikko Salo (Jyväskylä).
Geometric analysis seminar: Lauri Oksanen (University of Helsinki)
Event information
Event date
-
Event type
Public lectures, seminars and round tables
Event language
English
Event payment
Free of charge
