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Magnetic field of a magnetron sputtering system - QuickField simulation example

The magnetic field of a magnetron should be properly configured to confine electrons close to the target. We calculate the magnetic field distribution and detect the magnetic field unbalance* in this example.

Engineering question

How to find magnetron sputtering magnetic field balance?

Answer
Set up an axisymmetric QuickField DC Magnetics problem for a magnetron sputtering system and evaluate magnetic field balance from computed field results.

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Typical applications
magnetron sputtering sources, plasma sputtering targets, sputtering magnet assemblies

Magnetic field of a magnetron sputtering system

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Simulation problem

Problem Type
Plane-parallel problem of DC magnetics.

Geometry
Magnetic field of a magnetron sputtering system The magnetic field of a magnetron should be properly configured to confine electrons close to the target. We calculate the magnetic field distribution and detect the magnetic field unbalance in this example. Steel Target PM PM Ø10mm 10mm 5 5 W½

Given
Permanent magnets are made of NdFeB N42, coercive force is 860 kA/m, relative permeability is 1.2.
Core relative permeability is 1000.

Task
Calculate the magnetic field distribution and measure the magnetic field unbalance.

Solution
We use the unbalance coefficient proposed by Gencoa Ltd*. The coefficient is calculated as g = ZBz=0 / W½, where ZBz=0 is the distance from target to the point, where magnetic flux z-component is zero, and W½ is the target radius.

Results
ZBz=0 = 12.6 mm. Unbalance coefficient g = 12.6 / 14 = 0.9.
Magnetic field of a magnetron sputtering system

Flux density distribution along the target surface.

References:
* R. Brown, V. Bellido-Gonzalez. Comparison of balanced and unbalanced array designs., Thin film and PV solution, 2013.

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