A holographic uniqueness theorem

DOI10.1134/s0081543824020123MaRDI QIDQ6633156

Roman G. Novikov

Publication date: 5 November 2024

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

holographyHelmholtz equationphase recovering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• Inverse wave propagation problems without phase information
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• A uniqueness result for propagation-based phase contrast imaging from a single measurement
• Phaseless Inverse Scattering Problems in Three Dimensions
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions
• Phase recovery from phaseless scattering data for discrete Schrödinger operators

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