Anisotropy magnitude dispersion in thin films

The estimation of the effect of angular and magnitude dispersion of anisotropy on the behaviour of thin magnetic films is, in general, a problem of considerable difficulty, owing to the complexity of the magnetostatic interactions in the film. We note that the magnetostatic problem has a straight-forward solution for the case when angular dispersion is zero and amplitude dispersion is periodic along the hard direction. The calculations, although for a highly artificial type of anisotropy dispersion, are of interest, since, in this case, film behaviour can be predicted with due allowance for magnetostatic effects in the film.