Transmission of an X-ray beam through a two-dimensional photonic crystal and the Talbot effect

Author:

Kohn V. G.ORCID

Abstract

Results of computer simulations of the transmission of an X-ray beam through a two-dimensional photonic crystal as well as the propagation of an X-ray beam in free space behind the photonic crystal are reported. The photonic crystal consists of a square lattice of silicon cylinders of diameter 0.5 µm. The amount of matter in the path of the X-ray beam rapidly decreases at the sides of the cylinder projections. Therefore the transmission is localized near the boundaries, and appears like a channeling effect. The iterative method of computer simulations is applied. This method is similar to the multi-slice method that is widely used in electron microscopy. It allows a solution to be obtained with acceptable accuracy. A peculiarity in the intensity distribution inside the Talbot periodzTin free space was found when the intensity is approximately equal to the initial value at a distance 0.46zT, and it is shifted by half a period at distance 0.5zT. The reason for this effect is the existence of a periodic phase of the wavefunction of radiation inside the intensity peaks. Simulations with zero phase do not show this effect. Symmetry rules for the Talbot effect are discussed.

Publisher

International Union of Crystallography (IUCr)

Subject

Instrumentation,Nuclear and High Energy Physics,Radiation

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1. X-Ray Phase-Contrast Microscope: Theory and Computer Experiment;Crystallography Reports;2022-12

2. X-ray dynamical diffraction Talbot effect behind a crystal in free space;Acta Crystallographica Section A Foundations and Advances;2021-03-01

3. Feasibility of X-ray beam nanofocusing with compound refractive lenses;Journal of Synchrotron Radiation;2021-02-25

4. Coherence Requirements for X-Ray Dynamical Diffraction Talbot Effect Inside a Crystal;Journal of Contemporary Physics (Armenian Academy of Sciences);2021-01

5. Spherical-wave X-ray dynamical diffraction Talbot effect inside a crystal;Acta Crystallographica Section A Foundations and Advances;2020-06-01

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