Bound Volume Currents from Vortex-Like State
Channel: James Rantschler
Date: 2014-02-10

In class, we looked at a circularly magnetized squat dot and decided that we didn't much like the infinite bound current required at its center.  So, I've put together another example involving bound volume currents, with a model of the magnetization that's circular at the edges of the dot and vertical at the center, with the magnetization in the phi-direction linearly increasing from zero to the full magnetization.

This model is qualitatively similar to a real vortex state in a magnetic material.  The question is, does this simplified model avoid the infinity in the bound currents that we didn't like in the in-class problem?

Remember that the magnetization in a ferromagnet has a constant magnitude everywhere, even though its angle can be different at different.