This paper describes analytical expressions for the magnetic leakage f
ield of two types of internal defects: two dimensional rectangular and
elliptical defects as functions of the applied magnetic field strengt
h, the defect size and the distance below the surface. In this study,
the magnetic image effects from the spatial boundary and the defect bo
undary are taken into consideration. That is, the leakage field of rec
tangular-like defects or elliptically shaped defects 'below the surfac
e' are derived by using the modified dipole model and image theory. Th
e profiles and strengths of leakage fields calculated from the propose
d analytical forms are presented under various conditions and compared
with experimentally measured ones.