Direct and inverse problems in x-ray three-crystal triple Laue case interferometry

Area of Science:

• Condensed matter physics
• X-ray optics
• Crystallography

Background:

• X-ray moiré imaging is a technique used to study lattice distortions.
• Triple Laue case interferometers are sensitive tools for analyzing crystal structures.
• Local concentrated forces can induce significant changes in crystal lattices.

Purpose of the Study:

• To investigate the formation mechanisms of x-ray moiré images under specific force conditions.
• To analyze the influence of force orientation relative to the diffraction vector.
• To understand the effect of a constant phase shift on moiré fringe properties.

Main Methods:

• Utilizing a triple-crystalline triple Laue case interferometer.
• Applying one-dimensional rows of local concentrated forces to the interferometer's output surface.
• Analyzing moiré fringe formation with forces oriented parallel and perpendicular to the diffraction vector.
• Investigating the impact of a constant phase shift in the interferometer's analyzer.

Main Results:

• X-ray moiré images are formed by localized forces on the interferometer.
• A constant phase shift in one interfering wave diminishes moiré fringe period, contrast, and area.
• The interaction area of phase and deformation moirés is dependent on phase shift magnitude and force arrangement.
• Force orientation (parallel/perpendicular to diffraction vector) influences moiré pattern characteristics.

Conclusions:

• The study elucidates the mechanisms governing x-ray moiré image formation under applied forces.
• Phase shifts significantly alter deformation moiré fringe properties, affecting their visibility and extent.
• Optimizing force application and managing phase shifts are crucial for controlling moiré fringe interactions in interferometry.