Seminars & Colloquia Calendar
New thoughts on inverse screen scattering problem
Lassi Päivärinta (Tallinn University of Technology)
Location: Hill 525
Date & time: Friday, 07 April 2023 at 3:00PM - 4:00PM
We describe some new ideas in inverse scattering problem for screens in euclidian spaces. Especially we study the inverse problem including one passive measurement. By this we mean the physical problem where the transmitter is keeping fixed as well as the energy but the the measurement angle is allowed to vary. In mathematical terms the far field is known only for one fixed incoming wave and fixed wave number. Compared to standard fixed energy inverse scattering problem the dimension of the data for us is exactly half of the latter oner. At the end of the talk we give one simple result of this kind but by using a method that is promising to solve many more of such problems. On our way we let R.H. Mellin to meet J-B. J. Fourier and D. Hilbert on a half-line.
This is join study with Emilia Blåsten from the Lappeenranta University of Technology, Petri Ola from the University of Helsinki and Sadia Sadique from the Tallinn University of Technology.
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