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Updated: Jan 19, 2026

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
Published on: May 23, 2017
Dynamical diffraction effects on the geometric phase of inhomogeneous strain fields.
L Meißner1, T Niermann1, D Berger2
1Institut für Optik und Atomare Physik, Technische Universität Berlin, Straße des 17. Juni 135, Berlin 10623, Germany.
Electron beam dynamical diffraction reveals strain field information in materials. Analyzing the diffracted electron beam
Area of Science:
- Materials Science
- Solid State Physics
- Electron Microscopy
Background:
- Dynamical diffraction effects in electron microscopy create complex wave properties.
- Inhomogeneous displacement fields within specimens encode crucial material information.
- The phase of diffracted electron beams is sensitive to internal strain.
Purpose of the Study:
- To investigate the phase of diffracted electron waves in the presence of inhomogeneous displacement fields.
- To experimentally and theoretically analyze dynamical diffraction effects under varying conditions.
- To understand the relationship between strain fields and electron wave phase.
Main Methods:
- Utilizing dark-field electron holography to measure the phase and amplitude of diffracted beams.
- Employing numerical wave propagation based on Darwin-Howie-Whelan equations for theoretical analysis.
- Investigating an inclined InGaAs/GaAs system as a model for controlled strain fields.
Main Results:
- Experimental measurements of diffracted beam phase and amplitude align with theoretical calculations.
- A significant dependence of the observed effects on excitation conditions was identified.
- The study demonstrates the sensitivity of electron holography to strain-induced phase shifts.
Conclusions:
- The phase of the diffracted electron beam contains detailed information about inhomogeneous displacement fields.
- Dynamical diffraction effects significantly influence the interpretation of strain-induced geometric phase.
- Accurate interpretation requires considering the interplay between dynamical diffraction and the material's strain field.
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