Dynamical Theory of X-Ray Diffraction in a Crystal with a Surface Grating of Another Material

Using the formalism of dynamical scattering of spatially restricted X-ray fields, the diffraction of a microbeam in a crystal with boundary functions for the incident and reflected amplitudes was studied in the case of geometrical optics and the Fresnel approximation (FA). It is shown that, for a wide front of the X-ray field, the angular distributions of the scattered intensity in the geometrical optics approximation (GOA) and the FA are approximately the same. On the other hand, it is established that, for a narrow exit slit in the diffraction scheme, it is always necessary to take into account the X-ray diffraction at the slit edges. Reciprocal-space maps and the distribution of the diffraction intensity of the microbeam inside the crystal were calculated.

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“…1). In our previous work, we did not take into account the shift of slit S 2 (Punegov et al, 2017;Punegov, 2018aPunegov, , 2019a.…”

Section: Boundary Conditions For the Incident X-ray Microbeammentioning

confidence: 99%

X-ray microbeam diffraction in a crystal

Пунегов¹,

Karpov²

2021

Acta Crystallogr A Found Adv

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“…It is important to note that the surface relief of not only crystalline structures can be studied using the X-ray scattering method, but also thin polymer films (Geue et al, 2002). Investigations of the influence of deformation on crystals with different types of surface grating were performed by Punegov (2019) and Eberlein et al (2008). The present work is devoted to the development of a dynamical theory of X-ray diffraction on a surface crystalline relief obtained by holographic lithography and ion etching.…”

Section: Introductionmentioning

confidence: 99%

Dynamical theory of X-ray diffraction by crystals with different surface relief profiles

2023

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A dynamical theory is developed of X-ray diffraction on a crystal with surface relief for the case of high-resolution triple-crystal X-ray diffractometry. Crystals with trapezoidal, sinusoidal and parabolic bar profile models are investigated in detail. Numerical simulations of the X-ray diffraction problem for concrete experimental conditions are performed. A simple new method to resolve the crystal relief reconstruction problem is proposed.

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Scattering of spatially bounded X-ray beams in lateral periodic structures

Kazakov

Пунегов

2020

J. Phys.: Conf. Ser.

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The dynamical theory of X-ray diffraction is developed to the case when the incident and reflected X-ray beams are spatially bounded. X-ray diffraction in complicated lateral periodic structures is considered. Effects, due to periodic regular elastic deformations of a crystal lattice on an angular distribution of the scattered intensity, are investigated. Using the found solutions, numerical simulations of reciprocal space maps for crystals with periodically distributed elastic strains were performed. It was established, that for crystals modulated by a surface acoustic wave, diffraction orders consist of the main reflection vertical band and a pair of inclined bands, induced by spatially bounded X-ray beams. In the case of diffraction in crystals with the surface grating, one observes additional satellites along inclined bands caused by the spatial modulation of incident X-ray wave. Results of X-ray diffraction on a crystal modulated by a surface acoustic wave and on a crystal with a metal surface grating are presented.

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Dynamical Theory of X-Ray Diffraction in a Crystal with a Surface Grating of Another Material

Cited by 3 publications

References 39 publications

X-ray microbeam diffraction in a crystal

X-ray microbeam diffraction in a crystal

Dynamical theory of X-ray diffraction by crystals with different surface relief profiles

Scattering of spatially bounded X-ray beams in lateral periodic structures

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