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Related Experiment Videos

FFT multislice method--the silver anniversary.

Kazuo Ishizuka1

  • 1HREM Research Inc., Higashimatsuyama, Saitama 355-0055, Japan. ishizuka@hremresearch.com

Microscopy and Microanalysis : the Official Journal of Microscopy Society of America, Microbeam Analysis Society, Microscopical Society of Canada
|August 13, 2004
PubMed
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The Fast Fourier Transform (FFT) multislice method, developed in 1977, is reviewed for its physical implications in electron microscopy simulations. This analysis addresses controversies and presents new findings for coherent convergent beam electron diffraction (CBED) and high-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM).

Area of Science:

  • Materials Science
  • Physics
  • Computational Methods

Background:

  • The Fast Fourier Transform (FFT) multislice method was introduced in 1977 and extended in 1982 to accommodate large incident beam tilts.
  • Advances in computing power have enabled its application in coherent convergent beam electron diffraction (CBED) and high-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM) simulations.
  • Existing literature presents controversial conclusions regarding the FFT multislice method due to inherent physical and numerical approximations.

Purpose of the Study:

  • To critically review the physical implications of the FFT multislice method, particularly concerning tilted illumination.
  • To present updated simulation results for coherent CBED and HAADF-STEM.
  • To address and clarify controversies surrounding the method's application and accuracy.

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Main Methods:

  • Review of the FFT multislice formula, focusing on its physical basis and approximations.
  • Analysis of the formula's extension for tilted incident beams.
  • Application of the method to simulate coherent CBED and HAADF-STEM experiments.

Main Results:

  • The review clarifies the physical underpinnings of the FFT multislice method for tilted beam conditions.
  • Simulation results for coherent CBED and HAADF-STEM are presented, offering insights into their behavior.
  • The study provides a basis for resolving discrepancies found in previous literature concerning the method.

Conclusions:

  • The FFT multislice method remains a valuable tool for electron microscopy simulations, despite its approximations.
  • Understanding the physical implications, especially with tilted illumination, is crucial for accurate interpretation.
  • Further research and validation are supported by the presented simulation results for CBED and HAADF-STEM.