Towards High-Resolution X-ray Microscopy on Mesoscopic Structures

A method of calculating the transmission of hard X-ray radiation through a perfect and well oriented photonic crystal and the propagation of the X-ray beam modified by a photonic crystal in free space is developed. The method is based on the approximate solution of the paraxial equation at short distances, from which the recurrent formula for X-ray propagation at longer distances is derived. A computer program for numerical simulation of images of photonic crystals at distances just beyond the crystal up to several millimetres was created. Calculations were performed for Ni inverted photonic crystals with the [111] axis of the face-centred-cubic structure for distances up to 0.4 mm with a step size of 4 µm. Since the transverse periods of the X-ray wave modulation are of several hundred nanometres, the intensity distribution of such a wave is changed significantly over the distance of several micrometres. This effect is investigated for the first time.

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Rocking curve and spatial coherence properties of a long X-ray compound refractive lens

Kohn

2018

J Synchrotron Radiat

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Semi-analytical theory of a long set of X-ray compound refractive lenses (CRLs) based on recurrence relations is developed further. The geometrical aperture, angular divergence of incident radiation and source size were accurately taken into account. Using this theory it is possible to calculate the width of the rocking curve of a long (40.7 cm) Be CRL which coincides with experimental data obtained earlier. By this approach the transverse coherence length for the X-ray beam after passing a set of CRLs of arbitrary complexity has been estimated. It is shown that at the focus this coherence length is equal to a diffraction-limited beam size (beam size in the case of a point source) and has minimal difference with the real beam size. research papers J. Synchrotron Rad. (2018). 25, 1634-1641 V. G. Kohn Rocking curve and coherence properties for X-ray CRL 1641 Figure 5Distance dependence of the beam size for a point source (black curve 1), for a real source (red curve 2) and a transverse coherence length (blue curve 3). See text for details.

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Towards High-Resolution X-ray Microscopy on Mesoscopic Structures

Cited by 4 publications

References 17 publications

Diamond X-ray Refractive Lenses with High Acceptance

Diamond X-ray Refractive Lenses with High Acceptance

Propagation of an X-ray beam modified by a photonic crystal

Rocking curve and spatial coherence properties of a long X-ray compound refractive lens

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