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Image transfer with spatial coherence for aberration corrected transmission electron microscopes.

Fumio Hosokawa1, Hidetaka Sawada2, Takao Shinkawa3

  • 1BioNet Ltd., 2-3-28 Nishikityo, Tachikwa, Tokyo, Japan; Tokyo Institute of Technology, 4259 Nagatsuta, Midoriku, Yokohama 226-8503, Japan.

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A new formula for spatial coherence in aberration-corrected transmission electron microscopy was derived. This formula reveals how different aberrations affect image quality and coherence, aiding in advanced microscopy applications.

Keywords:
Aberration corrected TEMImage transferSpatial coherence

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Area of Science:

  • Physics
  • Materials Science
  • Microscopy

Background:

  • Aberration-corrected transmission electron microscopy (TEM) enhances imaging resolution.
  • Understanding spatial coherence is crucial for high-resolution TEM imaging.
  • Residual aberrations can degrade image quality in TEM.

Purpose of the Study:

  • To derive a formula for spatial coherence that includes aberrations up to six-fold astigmatism.
  • To analyze the impact of various aberrations on transfer functions in aberration-corrected TEM.
  • To investigate the influence of aberration symmetry on spatial coherence damping.

Main Methods:

  • Derivation of a spatial coherence formula incorporating higher-order astigmatism.
  • Calculation of linear imaging transfer functions using the derived formula.
  • Simulation of image formation for specific materials (haemoglobin, Si [211]) using calculated spatial coherence.

Main Results:

  • The derived formula accurately describes spatial coherence with aberrations.
  • Rotational symmetric damping of coherence is observed for n-fold astigmatism.
  • Non-rotational symmetric damping occurs for aberrations like coma and star.
  • Odd-symmetric wave aberrations significantly attenuate image intensity via spatial coherence.

Conclusions:

  • The study provides a theoretical framework for understanding spatial coherence in aberration-corrected TEM.
  • The findings highlight the distinct effects of different aberration types on image quality.
  • This work aids in optimizing imaging conditions and interpreting results in advanced electron microscopy.