Linear particle accelerator - QuickField simulation example
Speed of a charged particle at the center of a linear accelerator ring, showing acceleration through the prescribed sequence of electric fields.
How can the charged particle speed at the center of the linear accelerator ring be calculated?
Answer Typical applications Geometry
Given
Task
Solution
Results
Engineering question
Solve the electrostatic field, trace the electron trajectory from the emitter, and read the particle speed at the center of the accelerator ring.
linear particle accelerators, electrostatic accelerator sections, charged particle beamlines
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Simulation problem
Problem Type
Axisymmetric problem of electrostatics.
Relative permittivity of vacuum ε = 1;
Ring potential U+ = 15 kV.
Emitter potential U- = -15 kV.
Charge (electron) q = -1.602e-19 C
Mass (electron) m = 9.109e-31 kg
Initial velocity vy = vz = vφ = 0 m/s.
Emitter position (0; 0; 0).
Calculate the charged particle speed at the center of the linear accelerator ring.
Particle trajectory may be calculated using the built-in function in QuickField Electrostatic postprocessor or by the free tool TrajectoryTracer.
Particle speed at the ring center is vz = 90000 km/s.
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