The effect of curvature on domain wall energy and thickness

The variation in energy and thickness of a domain wall under the action of an applied magnetic field is investigated using a two-dimensional micromagnetic model, where it is assumed that the wall is pinned by inclusions. It is shown that there is an increase in wall energy due to the curvature produced in the wall, but that the change in this energy is small, It is also shown that although there is an appreciable variation in the thickness of the domain wall at the pinning points there is no change in thickness at its midpoint with increasing magnetic field. The curvature of the wall was found to depend on the pinning strength of the inclusions