scholarly journals Imaging Ultrafast Dynamical Diffraction Wave Fronts in Strained Si with Coherent X Rays

2021 ◽  
Vol 127 (15) ◽  
Author(s):  
Angel Rodriguez-Fernandez ◽  
Ana Diaz ◽  
Anand H. S. Iyer ◽  
Mariana Verezhak ◽  
Klaus Wakonig ◽  
...  
1964 ◽  
Vol 36 (3) ◽  
pp. 681-717 ◽  
Author(s):  
BORIS W. BATTERMAN ◽  
HENDERSON COLE
Keyword(s):  
X Rays ◽  

1991 ◽  
Vol 44 (6) ◽  
pp. 693 ◽  
Author(s):  
TJ Davis

A theoretical framework is developed to describe the dynamical diffraction of X-rays in perfect and imperfect crystals. The propagation of the X-ray beam inside the crystal is described by the evolution of a set of trajectories in the complex reflectance plane. The trajectory path is determined from a form of the Takagi-Taupin equations and leads naturally to simple forms for the crystal reflectivity for perfect crystals. A stochastic model for the effects of crystal defects is developed in terms of the Langevin equation which leads to a description of diffraction from imperfect crystals as the evolution of densities in a parameter space, described by a Fokker-Planck equation.


2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Hanfei Yan ◽  
Hyon Chol Kang ◽  
Ray Conley ◽  
Chian Liu ◽  
Albert T. Macrander ◽  
...  

The multilayer Laue lens (MLL) is a novel diffractive optic for hard X-ray nanofocusing, which is fabricated by thin film deposition techniques and takes advantage of the dynamical diffraction effect to achieve a high numerical aperture and efficiency. It overcomes two difficulties encountered in diffractive optics fabrication for focusing hard X-rays: (1) small outmost zone width and (2) high aspect ratio. Here, we will give a review on types, modeling approaches, properties, fabrication, and characterization methods of MLL optics. We show that a full-wave dynamical diffraction theory has been developed to describe the dynamical diffraction property of the MLL and has been employed to design the optimal shapes for nanofocusing. We also show a 16 nm line focus obtained by a partial MLL and several characterization methods. Experimental results show a good agreement with the theoretical calculations. With the continuing development of MLL optics, we believe that an MLL-based hard x-ray microscope with true nanometer resolution is on the horizon.


2015 ◽  
Vol 22 (4) ◽  
pp. 936-945 ◽  
Author(s):  
Lingfei Hu ◽  
Guangcai Chang ◽  
Peng Liu ◽  
Liang Zhou

The multilayer Laue lens (MLL) is essentially a linear zone plate with large aspect ratio, which can theoretically focus hard X-rays to well below 1 nm with high efficiency when ideal structures are used. However, the focusing performance of a MLL depends heavily on the quality of the layers, especially the layer placement error which always exists in real MLLs. Here, a dynamical modeling approach, based on the coupled wave theory, is proposed to study the focusing performance of a MLL with layer placement error. The result of simulation shows that this method can be applied to various forms of layer placement error.


2008 ◽  
Vol 41 (5) ◽  
pp. 944-949
Author(s):  
Özgür Kalenci ◽  
I. C. Noyan

It is shown through rigorous dynamical diffraction modeling that the ray tracing methods employed in kinematical diffraction analysis of strain become invalid for weakly deformed crystals that scatter in the dynamical limit. For an Si crystal illuminated by 12 keV X-rays, the kinematical formalisms should not be used if the strain gradient along the diffraction vector is smaller than 10−5 µm−1.


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