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A new approach for fast field calculation in electrostatic electron lens design and optimization
Neda Hesam Mahmoudi Nezhad1, Mohamad Ghaffarian Niasar2, Cornelis W Hagen3
1Department of Imaging Physics, Delft University of Technology, Delft, The Netherlands. n.hesammahmoudinezhad@tudelft.nl.
Scientific Reports
|February 28, 2024
Summary
A new fourth-order electrode method offers fast and accurate electric field calculations for electron optics. This method enables efficient design and optimization of electrostatic lens systems, overcoming computational limitations of traditional approaches.
Area of Science:
- Electron optics
- Computational physics
Background:
- Accurate electric field calculation is crucial for electron optics simulations.
- Traditional methods like FEM are computationally expensive, hindering automated design of electrostatic lens systems.
Purpose of the Study:
- To develop a novel, fast, and accurate electric field calculation method for electrostatic lens systems.
- To enable efficient design and optimization of lens systems with numerous parameters.
Main Methods:
- Introduced the fourth-order electrode method, expressing off-axis potential using axial potential derivatives.
- Utilized quintic spline approximation by solving simultaneous linear equations derived from Laplace's equation and spline fundamentals.
- Implemented the method within a genetic algorithm for electrostatic lens system optimization.
Main Results:
- The fourth-order electrode method demonstrates comparable accuracy to FEM but with significantly improved speed.
- Optimization of electrostatic lens systems using the new method showed effectiveness compared to FEM and the second-order electrode method (SOEM).
Conclusions:
- The fourth-order electrode method provides a computationally efficient alternative for electric field calculations in electron optics.
- This method facilitates faster and more effective design and optimization of electrostatic lens systems.
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