# A twist on Maxwell's equations boundary conditions

1. May 24, 2015

we have that Ht1 (x,y,z) - Ht2 (x,y,z) = Js and for the special case Ht1 (x,y,z) - Ht2 (x,y,z) = 0 where there is no surface current. At a boundary with Js =0, which for simplicity lets asume is at at x = a, then knowing that Ht1 and Ht2 are the magnetic fields to the left and right of the boundary respectively, we can then re write the boundary condition as lim e->0 Ht1 (a-e,y,z) - Ht2 (a+e,y,z) = 0 from which. Ht'(a,y,z) = 0 would follow if Ht1 (x,y,z) = Ht2 (x,y,z)?

2. May 30, 2015