Package voltrace

Welcome!

Voltrace is a general software package used for numerical electron optics. Its main feature is the implementation of the Boundary Element Method (BEM) to quickly calculate the surface charge distribution. The program supports both radial symmetry and general three-dimensional geometries. Electron tracing can be done very quickly using accurate radial series interpolation in both geometries. The electron trajectories obtained can help determine the aberrations of the optical components under study.

If you have any issues using the package, please contact us at [email protected].

Usage

In general, one starts with the voltrace.geometry module to create a mesh. For the BEM only the boundary of electrodes needs to be meshed. So in 2D (radial symmetry) the mesh consists of line elements while in 3D the mesh consists of triangles. Next, one specifies a suitable excitation (voltages) using the voltrace.excitation module. The excited geometry can then be passed to the solve_direct() function, which computes the resulting field. The field can be passed to the Tracer class to compute the trajectory of electrons moving through the field.

Validations

To make sure the software is correct, various problems from the literature with known solutions are analyzed using the Voltrace software and the results compared. In this manner it has been shown that the software produces very accurate results very quickly. The validations can be found in the /validations directory in the Github project. After installing Voltrace, the validations can be executed as follows:

    git clone https://github.com/leon-vv/Voltrace
    cd voltrace
    python3 ./validation/edwards2007.py --help

Units

SI units are used throughout the codebase. Except for charge, which is stored as \frac{ \sigma}{ \epsilon_0} .

Copyright statement

All Voltrace software is © copyrighted, Voltrace Software, 2025.

Sub-modules

voltrace.excitation

The excitation module allows to specify the excitation (or element types) of the different physical groups (electrodes) created with the …

voltrace.field

Radial series expansion in cylindrical symmetry …

voltrace.focus

Module containing a single function to find the focus of a beam of electron trajecories.

voltrace.geometry

The geometry module allows the creation of general meshes in 2D and 3D. The builtin mesher uses so called parametric meshes, meaning that for any …

voltrace.license
voltrace.logging
voltrace.mesher
voltrace.plotting

The voltrace.plotting module uses the vedo plotting library to provide some convenience functions to show the line and triangle meshes generated …

voltrace.solver
voltrace.tracing
voltrace.triangle_splitting
voltrace.typing