The phase retrieval problem for solutions of the Helmholtz equation

DOI10.1088/1361-6420/aa8640zbMath1377.35067arXiv1703.03742OpenAlexW3105742284MaRDI QIDQ4592691

Philippe Jaming, Salvador Pérez-Esteva

Publication date: 8 November 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03742

zbMATH Keywords

Helmholtz equationphase retrieval

Mathematics Subject Classification ID

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

Related Items (2)

Phase Retrieval: Uniqueness and Stability ⋮ Translation uniqueness of phase retrieval and magnitude retrieval of band-limited signals

Uses Software

• PhaseLift

Cites Work

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• Heisenberg uniqueness pairs and a theorem of Beurling and Malliavin
• Uniqueness theorems for Fourier transforms
• Uniqueness results in an extension of Pauli's phase retrieval problem
• On the first solution of a long standing problem: uniqueness of the phaseless quantum inverse scattering problem in 3-d
• Phase recovery, MaxCut and complex semidefinite programming
• Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation
• PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
• Phaseless inverse scattering and the phase problem in optics
• Optical Wavefront Reconstruction: Theory and Numerical Methods
• The phase retrieval problem
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
• Phaseless Inverse Scattering Problems in Three Dimensions

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