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Main >> Applications >> Sample problems

Linear particle accelerator - QuickField simulation example

Linear particle accelerator (linac) is used to accelerate charged particles.

Engineering question

How to find linear particle accelerator electric field distribution?

Answer
Set up an axisymmetric QuickField Electrostatics problem for a linear particle accelerator and evaluate electric field distribution from computed field results.

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Typical applications
linear particle accelerators, electrostatic accelerator sections, charged particle beamlines

Linear particle accelerator (linac)

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Simulation problem

Problem Type
Axisymmetric problem of electrostatics.

Geometry
Linear particle accelerator Linac is used to accelerate charged particles q U- U+ Emitter Ring Air

Given
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).

Task
Calculate the charged particle speed at the center of the linear accelerator ring.

Solution
Particle trajectory may be calculated using the built-in function in QuickField Electrostatic postprocessor or by the free tool TrajectoryTracer.

Results
Particle speed at the ring center is vz = 90000 km/s.
linear particle accelerator simulation

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