Role Of Diffraction In Phase Retrieval From Intensity Measurements

1983 ◽  
Author(s):  
John T. Foley ◽  
M. A. A. Jalil
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

Role of Diffractometer Geometry in the Standardization of Polycrystalline Data

1973 ◽  
Vol 17 ◽  
pp. 97-105
Author(s):  
William Parrish
Keyword(s):  
Preferred Orientation ◽  
Specimen Preparation ◽  
Reflection And Transmission ◽  
Intensity Measurements

AbstractThis paper reviews the factors in diffractometer geometry most likely to cause large errors in intensity measurements due to imperfect specimen preparation, particularly preferred orientation. It is recommended the same specimen be transferred to two or more diffractometer geometries in which the specimen has different orientations to obtain sets of complementary data. Three geometries are illustrated: θ-2θ scanning with reflection and transmission specimens, and Seeman-Bohlin with reflection specimen.

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.

Role of support information and zero locations in phase retrieval by a quadratic approach

1999 ◽  
Vol 16 (7) ◽  
pp. 1845 ◽  
Author(s):  
Tommaso Isernia ◽  
Giovanni Leone ◽  
Rocco Pierri ◽  
Francesco Soldovieri
Keyword(s):  
Phase Retrieval ◽  
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