X-ray dynamical diffraction Fraunhofer holography

2013

A numerical method of reconstruction of an object image using an X-ray dynamical diffraction Fraunhofer hologram is presented. Analytical approximation methods and numerical methods of iteration are discussed. An example of a reconstruction of an image of a cylindrical beryllium wire is considered. The results of analytical approximation and zero-order iteration coincide with exact values of the amplitude complex transmission coefficient of the object as predicted by the resolution limit of the scheme, except near the edges of the object. Calculations of the first- and second-order iterations improve the result at the edges of the object. This method can be applied for determination of the complex amplitude transmission coefficient of amplitude as well as phase objects. It can be used in X-ray microscopy.

“…The crystal is sufficiently thick and only the weakly absorbing mode of -polarization can be taken into account. The intensity distribution of the diffracted wave is (Balyan, 2013)…”

Section: Brief Description Of An X-ray Dynamical Diffraction Fraunhofmentioning

confidence: 99%

Section: Numerical Reconstruction Of An Object Imagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical reconstruction of an object image using an X-ray dynamical diffraction Fraunhofer hologram

2013

“…Watanabe et al (2004) suggested an X-ray twozone-plates FTH scheme. X-ray dynamical diffraction holography schemes have also been presented: for example, X-ray interferometric holography (including the Momose method) (Egiazaryan & Bezirganyan, 1980;Momose, 1995;Egiazaryan, 1998;Egiazaryan et al, 1998;Balyan, 2016a,b), X-ray Fraunhofer dynamical diffraction holography (Balyan, 2013) and X-ray Fourier transform dynamical diffraction holography (Balyan, 2015). Using hard X-ray holographic methods, the reconstruction can be performed by visible light or numerical (mathematical) methods.…”

Section: Introductionmentioning

confidence: 99%

X-ray Fourier transform holography by amplitude-division-type Fresnel zone plate interferometer

Haroutunyan

2018

Self Cite

A two-block X-ray Fresnel zone plate system forms two-beams - a plane wave and a spherical wave - which interfere at the focal distance of the virtual source of the spherical wave. An object placed in the path of the plane wave forms an object wave and the spherical wave is the reference wave. The recorded intensity distribution is the Fourier transform hologram of the object. Analytical and numerical calculations show the possibilities of this scheme to record the hologram and reconstruct the object image. Examples of recording holograms of a one-dimensional cosine-like grating and a two-dimensional grid object as well as reconstruction of the images are considered.

Object image correction using an X-ray dynamical diffraction Fraunhofer hologram

2014

Taking into account background correction and using Fourier analysis, a numerical method of an object image correction using an X-ray dynamical diffraction Fraunhofer hologram is presented. An example of the image correction of a cylindrical beryllium wire is considered. A background correction of second-order iteration leads to an almost precise reconstruction of the real part of the amplitude transmission coefficient and improves the imaginary part compared with that without a background correction. Using Fourier analysis of the reconstructed transmission coefficient, non-physical oscillations can be avoided. This method can be applied for the determination of the complex amplitude transmission coefficient of amplitude as well as phase objects, and can be used in X-ray microscopy.