Ray-tracing analysis of diffractive–refractive X-ray optics

Artemiev, Nikolay A.; Hrdý, J.; Peredkov, S.; Artem'ev, A. N.

doi:10.1107/s0909049503023343

Cited by 6 publications

(3 citation statements)

References 6 publications

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“…Ray tracing has been used in computer graphics as a technique for generating a realistic image by tracing the path of light through pixels in an image plane. In crystallography, ray tracing has been used, for example, for an analysis of X-ray optics (Yamada et al, 2001;Artemiev et al, 2004) and to research papers 536 Diederichs Simulation of X-ray frames using ray tracing Acta Cryst. (2009).…”

Section: Introductionmentioning

confidence: 99%

Simulation of X-ray frames from macromolecular crystals using a ray-tracing approach

Diederichs

2009

Acta Crystallogr D Biol Cryst

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An algorithm is described which simulates a data set obtained from a protein crystal using the rotation method. The diffraction pattern of an ideal crystal is specified by the orientation of the crystal's cell axes with respect to a specified laboratory coordinate system, the distance between the crystal and the detector, the wavelength and the rotation range per frame. However, a realistic simulation of an experiment additionally requires at least a plausible physical model for crystal mosaicity and beam properties. To explore the physical basis of reflection shape and rocking-curve variation, the algorithm simulates the diffraction of a real crystal composed of mosaic blocks which is illuminated with a beam of given divergence and dispersion. Ray tracing for each reflection leads to reflection shapes and rocking curves that appear realistic. A program implementing the algorithm may be used to reproducibly generate data sets that model different physical aspects (imperfections) of the crystal and the experiment. Certain types of systematic errors of the experimental apparatus may also be simulated. Further applications include teaching and characterization of the properties of data-reduction algorithms.

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Section: Introductionmentioning

confidence: 99%

Simulation of X-ray frames from macromolecular crystals using a ray-tracing approach

Diederichs

2009

Acta Crystallogr D Biol Cryst

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“…In previous simulations of the sagittal focusing due to parabolic grooves [12,13], we have used a ray-tracing code based on a rectangular shape approximation of the dynamical rocking curves, instead of, for example, the Darwin-Prince shape of a rocking curve for the coplanar case. This simplification may introduce some inaccuracy in the focus simulation.…”

Section: Ray Tracing Simulation Of the Sagittal Focusmentioning

confidence: 99%

Aberrations of diffractive–refractive optics: Bragg-case sagittal focusing of multiple parabolic elements

Hrdý¹,

Kuběna²,

Mikulı́k³

2005

J. Phys. D: Appl. Phys.

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The diffractive–refractive optical device consisting of four crystals in (+, −, −, +) setting with longitudinal parabolic grooves has a geometrical aberration which influences the achievable focus size. This aberration is discussed analytically by using a new, more precise formula for the calculation of focusing distance, which respects the finite distance between optical elements. The calculation of the intensity distribution surrounding the focus is illustrated by a ray-tracing method based on the dynamical theory of diffraction. It demonstrates an achievable focus size. Finally we discuss that this aberration may be suppressed by the slight narrowing of the groove profile. In particular, the parameter a in the equation of parabola has to slightly grow with x. A practical application may require an ultra-precise fabrication of the grooves.

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“…Both Bragg (Hrdý, 1998) and Laue (Hrdý et al, 2006) diffraction approaches have been demonstrated. Based on theoretical calculations (Hrdý & Oberta, 2008) and raytracing simulations (Artemiev et al, 2004), various applications for diffractive-refractive optics were proposed and tested at synchrotron facilities. Recently, the smallest focal spot size by diffractive-refractive optics (Oberta et al, 2010) was achieved and a novel method of higher harmonics separation in space was proposed at the Swiss Light Source (SLS; Hrdý et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

X-ray collimation by crystals with precise parabolic holes based on diffractive–refractive optics

Oberta

Mikulik

Kittler

et al. 2011

J Synchrotron Radiat

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Two crystals with precise parabolic holes were used to demonstrate sagittal beam collimation by means of a diffractive-refractive double-crystal monochromator. A new approach is introduced and beam collimation is demonstrated. Two Si(333) crystals with an asymmetry angle of α = 15° were prepared and arranged in a dispersive position (+,-,-,+). Based on theoretical calculations, this double-crystal set-up should provide tunable beam collimation within an energy range of 6.3-18.8 keV (Θ(B) = 71-18.4°). An experiment study was performed on BM05 at ESRF. Using 8.97 keV energy, the beam profile at various distances was measured. The experimental results are in good agreement with theoretical predictions. Owing to insufficient harmonic suppression, the collimated (333) beam was overlapped by horizontally diverging (444) and (555) beams.

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Ray-tracing analysis of diffractive–refractive X-ray optics

Cited by 6 publications

References 6 publications

Simulation of X-ray frames from macromolecular crystals using a ray-tracing approach

Simulation of X-ray frames from macromolecular crystals using a ray-tracing approach

Aberrations of diffractive–refractive optics: Bragg-case sagittal focusing of multiple parabolic elements

X-ray collimation by crystals with precise parabolic holes based on diffractive–refractive optics

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