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Superconducting bowl shield with the optional layer of mu-metal

QuickField simulation example

This is a simulation example of the superconducting bowl shield in the uniform external magnetic field. Example is prepared by Professor James R. Claycomb as a part of the webinar QuickField for Electromagnetic Shielding Applications.

Problem Type axisymmetric problem of DC magnetics.

Geometry
Superconducting bowl shield Superconducting bowl shield with the optional layer of mu-metal Superconductor Mu-metal (optional) D t1 t2

D = 32 cm, t1 = 1 cm, t2 = 1 cm

Given
Relative magnetic permeability of mu-metal μ = 10000,
External field B = 277 mT.

Problem:
Determine the shielding factor for the single layer superconducting bowl shield and for the bowl covered with the second layer of mu-metal.

Solution
Uniform external magnetic field was defined by assigning a non-zero vector magnetic potential distribution on the simulation area boundary.

Results
Magnetic field strength distribution in case of the single layered superconducting bowl shield.
single layered superconducting bowl shield

Magnetic field strength distribution in case of the superconducting bowl shield covered with the mu-metal layer
superconducting bowl shield covered with mu-metal layer

Superconducting bowl shield Magnetic flux density
5 cm away from the bowl bottom
Single layered 7.5 mT (2.7%)
With additional mu-metal layer 9.7 mT (3.5%)