The Uniqueness of Phase Retrieval from Intensity Measurements.

1981 ◽  
Author(s):  
John T. Foley
Keyword(s):  
Phase Retrieval ◽  
Intensity Measurements

scholarly journals Two-Step Phase Retrieval Algorithm Using Single-Intensity Measurement

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Cheng Zhang ◽  
Meiqin Wang ◽  
Qianwen Chen ◽  
Dong Wang ◽  
Sui Wei
Keyword(s):  
Phase Retrieval ◽  
Fourier Spectrum ◽  
Retrieval Algorithm ◽  
Improved Method ◽  
Retrieval Method ◽  
Intensity Measurements ◽  
Successful Recovery ◽  
Reconstruction Quality ◽  
Low Probability ◽  
Phase Retrieval Algorithm

Aiming at the problem that the single-intensity phase retrieval method has poor reconstruction quality and low probability of successful recovery, an improved method is proposed in this paper. Our method divides the phase retrieval into two steps: firstly, the GS algorithm is used to recover the amplitude in the spatial domain from the single-spread Fourier spectrum, and then the classical GS algorithm using two intensity measurements (one is recorded and the other is estimated from the first step) measurements is used to recover the phase. Finally, the effectiveness of the proposed method is verified by numerical experiments.

Uniqueness of phase retrieval from intensity measurements

1981 ◽  
Vol 71 (8) ◽  
pp. 1008 ◽  
Author(s):  
John T. Foley ◽  
R. Russell Butts
Keyword(s):  
Phase Retrieval ◽  
Intensity Measurements

Phase Retrieval from Two Defocused Images by the Transport-Ofintensity Equation Formalism with Fast Fourier Transform

2001 ◽  
Vol 7 (S2) ◽  
pp. 430-431
Author(s):  
V.V. Volkov ◽  
Y. Zhu
Keyword(s):  
Phase Retrieval ◽  
Optical Axis ◽  
Fresnel Zone ◽  
Diffraction Tomography ◽  
X Ray ◽  
Intensity Measurements ◽  
Magnetic Inductance ◽  
Experimental Parameters ◽  
Transport Of Intensity Equation ◽  
Made In

The problem of phase retrieval from intensity measurements plays an important role in many fields of physical research, e.g. optics, electron and x-ray microscopy, crystallography, diffraction tomography and others. in practice the recorded images contain information only on the intensity distribution I(x,y) = ψ*ψ*= |A|2 of the imaging wave function ψ = A*exp(-iϕ) and the phase information (ϕ(x,y) is usually lost. in general, the phase problem can be solved either by special holographic/interferometric methods, or by noninterferometric approaches based on intensity measurements in far Fraunhofer zone or in the Fresnel zone at two adjacent planes orthogonal to the optical axis. The latter approach uses the transport-of-intensity equation (TIE) formalism, introduced originally by Teague [1] and developed later in [2]. Applications of TIE to nonmagnetic materials and magnetic inductance mapping were successfully made in [3,4]. However, this approach still needs further improvement both in mathematics and in practical solutions, since the result is very sensitive to many experimental parameters.

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