The Brown–LaBonte variation numerical method has been used to investigate the structure and
energy of the Néel domain wall (DW) in a thin magnetic film of the Permalloy type. The equilibrium structure
of the DW corresponds to the minimum of the total energy and to the Aharoni criterion close to unity. It has
been shown that, when moving from the center of the DW, variations in the magnetization occur in an oscil
lating manner with a period that increases upon approaching the edge of the DW. At the edge of the DW, the
period reaches a maximum value and, in this region, a sharp decrease occurs in the magnetization. In the
region of the extended side tails of the DW, a larger gradient of the change is obtained in the magnetization
than in the model of a logarithmic variation.