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Main >> Applications >> Sample problems

Magnetic lens - QuickField simulation example

Trajectory of a charged particle through a magnetic lens, showing focusing of the particle beam by the axisymmetric magnetic-field distribution.

Engineering question

How to calculate the charged particle trajectory in a magnetic lens?

Answer
Particle trajectory may be calculated using the free tool TrajectoryTracer .

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Typical applications
magnetic electron lenses, beam focusing magnets, vacuum beamline optics

Magnetic lens

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics.

Geometry
Magnetic lens

Given
Relative permittivity of vacuum ε = 1;
Coil current I = 10 A.
Relative permeability of the core μ = 1000;
Charge (electron) q = -1.602e-19 C
Mass (electron) m = 9.109e-31 kg
Initial velocity vy = 300 km/s, vz = 1000 km/s.

Task
Calculate the charged particle trajectory.

Solution
Particle trajectory may be calculated using the free tool TrajectoryTracer.

Results
Final velocity vy = 2.2 km/s, vz = 1000 km/s.
magnetic lense simulation

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