Related Experiment Video
Updated: Jun 21, 2026

15:04
Picometer-Precision Atomic Position Tracking through Electron Microscopy
Published on: July 3, 2021
A moving window correlation method to reduce the distortion of scanning probe microscope images
Wei Chu1, Joseph Fu, Ronald Dixson
1National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.
The Review of Scientific Instruments
|August 7, 2009
Summary
This study introduces a moving window correlation method to quantify hysteresis in piezoelectric actuators used in scanning probe microscopy. This technique corrects distorted images caused by nonlinearities, improving positioning accuracy.
Area of Science:
- Materials Science
- Nanotechnology
- Instrumentation
Background:
- Scanning probe microscopy (SPM), including scanning tunneling microscopy (STM) and atomic force microscopy (AFM), relies on piezoelectric actuators for surface scanning.
- Open-loop operation of piezoelectric actuators introduces nonlinearities, primarily hysteresis and drift, which degrade positioning accuracy and image quality.
Purpose of the Study:
- To develop and present a novel method for quantifying hysteresis in piezoelectric actuators.
- To improve the accuracy of surface scans generated by SPM instruments.
- To reduce image distortions caused by actuator nonlinearities.
Main Methods:
- A moving window correlation method is proposed to analyze trace and retrace profiles.
- Correlation is performed between data within imposed windows on both profiles to identify corresponding pixel pairs.
- The method identifies pixel pairs at the same physical position along the fast scanning axis (x).
- Calculated x-distances between pixel pairs are used in a correction scheme.
Main Results:
- The moving window correlation method effectively quantifies hysteresis in piezoelectric actuators.
- The proposed correction scheme successfully reduces image distortions.
- Improved positioning accuracy is achieved through the correction of nonlinearities.
Conclusions:
- The moving window correlation method offers a viable solution for addressing hysteresis in piezoelectric actuators.
- This technique enhances the reliability and accuracy of SPM imaging.
- The findings contribute to the advancement of high-resolution surface analysis techniques.

