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Trajectory displacement in a multi beam scanning electron microscope.

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Summary
This summary is machine-generated.

Statistical Coulomb interactions theory predicts trajectory displacement. A new approach reveals two independent contributions in multi-beam systems, validated by simulations and experiments.

Keywords:
Coulomb interactionsElectron opticsMulti-beam electron microscopeSlice methodTrajectory displacement

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Area of Science:

  • Physics
  • Beam Dynamics

Background:

  • Analytical theory of statistical Coulomb interactions accurately determines trajectory displacement in single, rotationally symmetrical beams.
  • Current methods estimate multi-beam displacement using the fully-filled segment approximation, predicting full compensation.

Purpose of the Study:

  • To investigate the accuracy of the fully-filled segment approximation for multi-beam systems.
  • To develop a more accurate method for calculating trajectory displacement in multi-beam systems.

Main Methods:

  • Comparison of analytical theory predictions with Monte Carlo simulations.
  • Development of a new analytical approach for multi-beam trajectory displacement.
  • Experimental validation using a multi-beam system.

Main Results:

  • The fully-filled segment approximation inaccurately predicts full trajectory displacement compensation.
  • Monte Carlo simulations and experimental data contradict the approximation's predictions.
  • A new calculation reveals two independent trajectory displacement contributions in multi-beam systems.

Conclusions:

  • The fully-filled segment approximation is inadequate for multi-beam systems.
  • A novel analytical approach accurately describes multi-beam trajectory displacement.
  • Findings are supported by both simulation and experimental evidence.