Magnetostatics - boundary condition

[paweld]

Let's consider two media with magnetic permeability \mu_1, \mu_2.
What's the condition for magnetostatic vector potential \vec{A}
on the boundary. Is it true that its tangent component should be continuous.
Thanks for replay.

 

[marcusl]

The BC across the magnetic interface is

\vec{A_+} - \vec{A_-}=\mu_0\vec{M}\times\hat{n}

so only the normal component of A is continuous. A_tangential is continuous only in the special case when M is normal to the surface.

 

[paweld]

I don't see your point.
The condition on \vec{B} are the following:
\vec{n}( \vec{B}^+ - \vec{B}^-) = 0
and
\vec{n} \times (\frac{1}{\mu_1}\vec{B}^+ -\frac{1}{\mu_2} \vec{B}^-) = 0
Vector potential satisfies the condition \nabla \times \vec{A} = \vec{B}.
I'm exacly asking if the above conditions implies that some components of A are continous.

 

[Meir Achuz]

I don't agree with Marcus. Since curl A is finite, A tangential is continuous.
Since div A is zero, A normal is continuous.

 

[marcusl]

Clem is right, I am wrong. Please disregard my post above.