Magnetization distribution in an isolated transition

A large-scale model was used to study the magnetization distribution in an isolated transition by measuring the stray fields near the top and bottom surfaces of the medium with a small Hall probe. It was found that, in an unoriented γFe
2
O
3
medium, more flux escapes from the top than from the bottom surface. A simple, four-parameter transition function was found which is consistent with the observed stray-field distribution; M
x
(x) is an arctan function, whereas M
y
(x) is an arctan derivative. Expressions for H
x
and H
y
, inside and outside the medium, were derived and values for the four parameters were calculated by a least-squares fit to 28 experimental points. In a thin, square-loop medium with high saturation magnetization, the isolated transition has a pronounced asymmetry and M
y
is either zero or an odd function of y.