scholarly journals Takagi-Taupin description of x-ray dynamical diffraction from diffractive optics with large numerical aperture

2007 ◽  
Vol 76 (11) ◽  
Author(s):  
Hanfei Yan ◽  
Jörg Maser ◽  
Albert Macrander ◽  
Qun Shen ◽  
Stefan Vogt ◽  
...  
Keyword(s):  
Numerical Aperture ◽  
Diffractive Optics ◽  
Dynamical Diffraction ◽  
X Ray

scholarly journals Multilayer Laue Lens: A Path Toward One Nanometer X-Ray Focusing

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Hanfei Yan ◽  
Hyon Chol Kang ◽  
Ray Conley ◽  
Chian Liu ◽  
Albert T. Macrander ◽  
...  
Keyword(s):  
Theoretical Calculations ◽  
Numerical Aperture ◽  
Thin Film Deposition ◽  
Film Deposition ◽  
Diffraction Effect ◽  
X Rays ◽  
Dynamical Diffraction ◽  
Characterization Methods ◽  
X Ray ◽  
Laue Lens

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.

Dynamic X-ray lithography for blazed diffractive optics fabrication

2008 ◽  
Author(s):  
V. F. Pindyurin ◽  
B. G. Goldenberg ◽  
E. V. Petrova ◽  
U. V. Ancharova ◽  
V. S. Eliseev ◽  
...  
Keyword(s):  
Diffractive Optics ◽  
X Ray ◽  
Optics Fabrication

scholarly journals Imperfect Crystals and Dynamical X-ray Diffraction in the Complex Reflectance Plane

1991 ◽  
Vol 44 (6) ◽  
pp. 693 ◽  
Author(s):  
TJ Davis
Keyword(s):  
Stochastic Model ◽  
Parameter Space ◽  
Langevin Equation ◽  
Planck Equation ◽  
Theoretical Framework ◽  
Crystal Defects ◽  
X Rays ◽  
X Ray Diffraction ◽  
Dynamical Diffraction ◽  
X Ray

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.

High-resolution hard X-ray phase-contrast microscopy with a large-diameter and high-numerical-aperture zone plate

2002 ◽  
Vol 9 (3) ◽  
pp. 132-135 ◽  
Author(s):  
Yasushi Kagoshima ◽  
Yoshiyuki Yokoyama ◽  
Takashi Ibuki ◽  
Toshihiro Niimi ◽  
Yoshiyuki Tsusaka ◽  
...  
Keyword(s):  
High Resolution ◽  
Phase Contrast ◽  
Large Diameter ◽  
Numerical Aperture ◽  
Zone Plate ◽  
Phase Contrast Microscopy ◽  
X Ray ◽  
High Numerical Aperture ◽  
Contrast Microscopy

The real part of the dispersion surface in X-ray dynamical diffraction in the Laue case for perfect crystals

2018 ◽  
Vol 74 (5) ◽  
pp. 586-594 ◽  
Author(s):  
Takashi Saka
Keyword(s):  
Riemann Surface ◽  
Analytical Method ◽  
Bragg Condition ◽  
Approximation Characteristic ◽  
Dynamical Diffraction ◽  
X Ray ◽  
The Real ◽  
Dispersion Surface ◽  
Beam Approximation ◽  
Characteristic Features

The real part of the dispersion surface in X-ray dynamical diffraction in the Laue case for perfect crystals is analysed using a Riemann surface. In the conventional two-beam approximation, each branch or wing of the dispersion surface is specified by one sheet of the Riemann surface. The characteristic features of the dispersion surface are analytically revealed using four parameters, which are the real and imaginary parts of two quantities that specify the degree of departure from the exact Bragg condition and the reflection strength. The present analytical method is generally applicable, irrespective of the magnitudes of the parameters with no approximation. Characteristic features of the dispersion surface are also revealed by geometrical considerations with respect to the Riemann surface.

New developments including X-ray standing waves in the dynamical Bragg diffraction program of X-ray Server

2021 ◽  
Vol 54 (5) ◽  
pp. 1530-1534
Author(s):  
Sergey Stepanov
Keyword(s):  
Standing Waves ◽  
Grazing Incidence ◽  
Bragg Diffraction ◽  
Use Cases ◽  
X Ray Diffraction ◽  
New Developments ◽  
Dynamical Diffraction ◽  
X Ray

X-ray Server (https://x-server.gmca.aps.anl.gov) is a collection of programs for online modelling of X-ray diffraction and scattering. The dynamical diffraction program is the second most popular Server program, contributing 34% of total Server usage. It models dynamical X-ray diffraction from strained crystals and multilayers for any Bragg-case geometry including grazing incidence and exit. This paper reports on a revision of equations used by the program, which yields ten times faster calculations in most use cases, on implementing calculations of X-ray standing waves and on adding new options for modelling diffraction from monolayers.

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