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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Phase retrieval and phaseless inverse scattering with background information

## Phase retrieval and phaseless inverse scattering with background informationAdd to your list(s) Download to your calendar using vCal - Roman Novikov (CNRS & École polytechnique)
- Tuesday 16 May 2023, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. RNTW03 - New tomographic methods using particles We consider the problem of finding a compactly supported potential in the multidimensional Schrödinger equation from its differential scattering cross section (squared modulus of the scattering amplitude) at fixed energy. In the Born approximation this problem simplifies to the phase retrieval problem of reconstructing the potential from the absolute value of its Fourier transform on a ball. To compensate for the missing phase information we use the method of a priori known background scatterers. In particular, we propose an iterative scheme for finding the potential from measurements of a single differential scattering cross section corresponding to the sum of the unknown potential and a known background potential, which is sufficiently disjoint. The performance of the proposed algorithms is demonstrated in numerical examples. This talk is based on the work Hohage, Novikov, Sivkin, Preprint 2022, hal-03806616 This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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