This paper describes a new method for the simulation of signals noised by t
he presence of other materials outside of test materials in eddy current te
sting. The method developed here, which can treat ferromagnetic materials,
is an extension of a pre-computed database approach based on the magnetic v
ector potential method. It results in much fewer degrees of freedom than th
ose of typical finite element approaches, and the method provides a very fa
st forward simulator even in the case,vith ferromagnetic materials.