The potential vector [[theta].sub.v,[mu]] given through (38) can be seen as a specific

magnetic vector potential that corresponds to an isotropic magnetic field of constant strength 2[mu], since d(i[[theta].sub.v,[mu]])(z) = 2[mu]Vol(z).

The array was treated as magnetostatic, and the total

magnetic vector potential inside the bore from all permanent magnet segments can be obtained by (Allab et al.

Primary variables in GL model are order parameter, [psi], and

magnetic vector potential, A, occupying a superconductor sample in a three-dimensional region [OMEGA] having boundary [GAMMA].

Once the

magnetic vector potential A is obtained at some time step [t.sub.n+1], the magnetic flux B and electric field E at the same time step can be calculated using Eqs.

Noted key differences between the procedure in Section 2.1 and the one implemented for the magnetic line source include usage of the electric vector potential, [??], instead of the

magnetic vector potential and usage of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] to compute the scattered electric field.

In eddy current problems a set of equations that defines the relationship between

magnetic vector potential and material parameters are considered.

This shows that the

magnetic vector potential is also screened, provided that the fluid or current velocity is the same in all the volume under interest.

The

magnetic vector potential [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] at any point can be obtained using the complex Helmholtz equation [7], which can be derived from a differential form of Maxwell's field equation [8] given by the following:

Moreover, the

magnetic vector potential in regions I and IX must be finite at y = [infinity] and y = -[infinity], respectively.

Femm goes about finding a field that satisfies (4) and (6) via

magnetic vector potential approach.

The

magnetic vector potential A can be employed to obtain the electromagnetic equations needed for a complete description of the system.

The Laplace equation ([DELTA]A = -[mu]J), involving the

magnetic vector potential A, the current source density J and the magnetic permeability [mu], is solved using a 2D axisymetric finite element calculation.