Dynamical contrast of the topographic image of a crystal with continuous X-ray radiation. II. A theoretical study of the polychromatic interference fringes

Аристов, В. В.; Шмытько, И. М.; Shulakov, E. V.

doi:10.1107/s0567739477001090

Cited by 26 publications

(3 citation statements)

References 2 publications

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“…This is impossible for beams The geometry of the experiment was in accordance with Fig. 1 (z 1 = 100-150 mm, z 3 = 50-300 mm) and was very similar to that of Aristov, Shmytko & Shulakov (1977b). In order to decrease the background of radiation scattered by various elements of the experimental scheme the primary beam divergence was limited to 4-6 o by slit 1.…”

Section: Resultsmentioning

confidence: 99%

“…The range of wavelengths contributing to the total intensity at the observation point is determined by the width of the monochromatic beams (2Ttan era/cos ~'), the interferometer defocusing (zlb = b 2 --b~) (usually,, and the experimental geometry. It may be considered that only those rays are incident upon the point r e for which the following condition is fulfilled (Aristov et al, 1977a):…”

Section: Ismentioning

confidence: 99%

“…radiation by an interferometer we use the method proposed by Aristov, Shmytko & Shulakov (1977a) for analysing the contrast of a perfect-crystal topographical image. The essence of this method is that the radiation of a polychromatic point source expands into spherical monochromatic waves, the intensities of each of these waves being calculated at all points of the film after their diffraction by the crystal.…”

Section: Diffraction Of Polychromatic Radiation By the Lll Interferommentioning

confidence: 99%

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X-ray interferometry with divergent polychromatic beams

Shulakov¹,

Аристов²

1979

Acta Cryst Sect A

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The theory of a strongly absorbing Laue interferometer for an arbitrary composition of the X-radiation has been developed on the basis of the Takagi equations. The coherent properties of interfering beams of polychromatic radiation are discussed. Formulas have been derived showing the dependence on the moir~ pattern and the contrast of interference fringes of the type of deviation of the interferometer geometry from the perfectly aligned case. The results of an experiment for obtaining the moir~ pattern of a symmetric Laue case (LLL) interferometer with Bremsstrahlung radiation are presented.

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Section: Resultsmentioning

confidence: 99%

Section: Ismentioning

confidence: 99%

Section: Diffraction Of Polychromatic Radiation By the Lll Interferommentioning

confidence: 99%

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X-ray interferometry with divergent polychromatic beams

Shulakov¹,

Аристов²

1979

Acta Cryst Sect A

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Hard x-ray imaging using free-standing spherically bent crystals

Faenov

Pikuz

Avrutin

et al. 2003

Review of Scientific Instruments

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We report the attempt to prepare free-standing spherically bent Si crystals with radii of curvature as small as 30 cm and large uniform working areas up to several cm2. We also report on the use of these crystals in the Laue geometry to record two-dimensional high spatial resolution x-ray images in the hard x-ray region (λ∼0.5 Å). We discuss how these bent crystals were made, and show how these spherically bent crystals were used in the Laue geometry to obtain hard x-ray images of test objects at the silver K-alpha wavelength at two different magnifications. The mean spatial resolution of this x-ray imaging scheme, determined from the recorded image traces, was found to be better than 10 μm over a field of view of 1.5×1.5 mm. Contributions of possible focusing mechanisms (dynamical and polychromatic) are discussed. Additional theoretical understanding of how such a scheme is working is needed.

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Dynamical Theory of X-Ray Diffraction

Authier

2003

394

658

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X-ray diffraction is a major tool for the study of crystal structures and the characterization of crystal perfection. Since the discovery of X-ray diffraction by von Laue, Friedrich, and Knipping in 1912 two basic theories have been used to describe this diffraction. One is the approximate geometrical, or kinematical theory, applicable to small or highly imperfect crystals; it is used for the determination of crystal structures and the study of powders and polycrystalline materials. The other one is the rigorous dynamical theory, applicable to perfect or nearly perfect crystals and, for that reason, is the one used for the assessment of the structural properties of high technology materials. It has witnessed exciting developments since the advent of synchrotron radiation. This book provides an account of the dynamical theory of diffraction and of its applications. The first part serves as an introduction to the subject, presenting early developments, Ewald's theory of dispersion and the basic results of Laue's dynamical theory. This is followed in the second part by a detailed development of the diffraction and propagation properties of X-rays in perfect crystals, including the study of anomalous absorption, Pendellösung, grazing incidence diffraction (GID) and n-beam or multiple-beam diffraction. The third part constitutes an extension of the theory to the case of slightly and highly deformed crystals. The last part gives three applications of the theory: X-ray optics for synchrotron radiation, location of atoms at surfaces and interfaces and X-ray diffraction topography.

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Dynamical contrast of the topographic image of a crystal with continuous X-ray radiation. II. A theoretical study of the polychromatic interference fringes

Cited by 26 publications

References 2 publications

X-ray interferometry with divergent polychromatic beams

X-ray interferometry with divergent polychromatic beams

Hard x-ray imaging using free-standing spherically bent crystals

Dynamical Theory of X-Ray Diffraction

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