Formulas for phase recovering from phaseless scattering data at fixed frequency

We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension d≥2. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and ac...

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2015-12, Vol.139 (8), p.923-936
Main Author: Novikov, R.G.
Format: Article
Language:English
Subjects:
Mathematical Physics
Mathematics
Monochromatic scattering data
Phase recovering
Phaseless inverse scattering
Schrödinger equation
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Summary:We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension d≥2. In these framework we give explicit formulas for phase recovering from appropriate phaseless scattering data. As a corollary, we give global uniqueness results for quantum and acoustic inverse scattering at fixed frequency without phase information.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2015.04.005