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Quantifying resolution in pink-beam dark-field X-ray microscopy: experiments and simulations
M La Bella1, H F Poulsen1, S Staeck1,2
1Technical University of Denmark, 2800 Kgs Lyngby, Denmark.
Journal of Applied Crystallography
|August 6, 2026
Summary
Pink-beam dark-field X-ray microscopy (pDFXM) offers higher diffraction intensity for studying material microstructure and strain. However, it results in a tenfold decrease in angular resolution, impacting axial strain mapping but benefiting integrated intensity measurements.
Area of Science:
- Materials Science
- Condensed Matter Physics
- X-ray Optics
Background:
- Pink-beam dark-field X-ray microscopy (pDFXM) is an emerging technique for time-resolved studies of microstructure and strain evolution in crystalline materials.
- Assessing pDFXM performance against monochromatic DFXM is crucial for optimizing its application.
Purpose of the Study:
- To systematically evaluate the performance of pDFXM compared to monochromatic DFXM using a compound refractive lens objective.
- To derive and validate analytical expressions for spatial and angular resolution in pDFXM.
Main Methods:
- Derivation of analytical expressions for spatial and angular resolution.
- Numerical simulations based on geometrical optics.
- Experimental validation using crystalline materials.
Main Results:
- pDFXM provides increased diffraction intensity, with a tenfold degradation in angular resolution along rocking and axial strain directions.
- Chromatic aberration is absent in perfect crystals under parallel illumination but significant under condensed illumination, strongly depending on crystal distortion.
- Weak-beam imaging for dislocation resolution remains feasible with pDFXM, potentially improving signal-to-noise ratio.
- Incident flux is enhanced by two orders of magnitude, leading to a ~30x increase in diffracted intensity; beam heating effects were quantified.
Conclusions:
- pDFXM presents a trade-off between intensity and angular resolution, advantageous for integrated intensity measurements but disadvantageous for axial strain mapping.
- The technique is suitable for resolving dislocations and offers significantly higher diffracted intensity.
- Quantified beam heating effects provide insights for optimizing scanning protocols in pDFXM studies.
