- #1

hylander4

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I'm currently working on some magnetic shielding, and my supervisor wants me to try and find an analytical solution to the magnetic field inside the shielding.

The shielding is basically bucket shaped (a hollow cylinder with the top cut out), and its meant to shield its interior from the Earth's magnetic field (constant, in one direction). It has a very high permeability, and I'm assuming that its linearly polarizable.

I tried solving the system using boundary conditions and magnetic scalar potential, but I can only solve the approximate situation of an infinite cylinder with this method. What's worse, I can only solve for the magnetic field when the field's direction is perfectly perpendicular to the infinite cylinder.

Does anybody have any tips or alternative methods for solving this system analytically? My experience is limited to undergraduate E+M courses (griffiths, essentially), but I'm willing to learn new methods.