Abstract

We report near- and far-field computer simulations of synchrotron X-ray phase-contrast images using a micropipe in a SiC crystal as a model system. Experimental images illustrate the theoretical results. The properties of nearly perfect single crystals of silicon carbide are strongly affected by μm-sized pores even if their distribution in a crystal bulk is sparse. A non-destructive technique to reveal the pores is in-line phase-contrast imaging with synchrotron radiation. A quantitative approach to evaluating pore sizes is the use of computer simulations of phase-contrast images. It was found that near-field phase-contrast images are formed at very short distances behind a sample. We estimated these distances for tiny pores. The Fresnel zones did not provide any information on the pore size in the far-field, but a contrast value within the first Fresnel zone could be used for simulations. Finally, general problems in evaluating a micro-pore size via image analysis are discussed.

Highlights

  • We report near- and far-field computer simulations of synchrotron X-ray phase-contrast images using a micropipe in a silicon carbide (SiC) crystal as a model system

  • The properties of nearly perfect single crystals of silicon carbide are strongly affected by μm-sized pores even if their distribution in a crystal bulk is sparse

  • The Fresnel zones did not provide any information on the pore size in the far-field, but a contrast value within the first Fresnel zone could be used for simulations

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Summary

Introduction

The structural homogeneity and perfection of silicon carbide (SiC) single crystals have been improved in recent years by developing physical vapor transport technology. In-line phasecontrast imaging (PCI) allows one to visualize micro-objects in the volume of materials if absorption contrast is weak. Other imaging techniques such as x-ray microscopy (XRM), coherent diffraction imaging (CDI), or x-ray ptychography can provide nano-level resolution. A wide, diverging, partially coherent SR beam makes it possible to detect the crystal defects by the total phase shift along the beam path In this technique, image features depend on the sample-to-detector distance z. This paper presents experimental and simulated phase-contrast images corresponding to different distances behind the sample to evaluate a proper transverse size of a micro-pore from image analysis. We must conclude that the distance is too small and practically unattainable

Experiment
Numerical Simulation
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