In magnetostatic problems where no electric currents are present, it is possible to formulate and solve the problem using a scalar magnetic potential. In a current-free region you have ∇ × H =
0. This implies that the magnetic scalar potential
Vm can be defined from the relation
H =
−∇Vm, which is analogous to the definition of the electric potential for static electric fields.
The Magnetic Fields, No Currents Interface uses this equation for modeling of magnetostatics in the absence of electric currents.