Some properties of Bloch domain walls with cylindrical curvature

Abstract

Profiles of magnetic orientation have been calculated for long reverse domains with cylindrical 180° Bloch domain walls in uniaxial material subject to an applied field H just sufficient to equilibrate the domains against radial collapse. The dependence of the wall energy, bending moment, support field, wall width and other profile parameters on mean wall radius R have been investigated numerically. As these properties depend on the radial variation of the support field, two different simple cases have been treated: H=H0 independent of radius R; and H=H1/R. Fortunately the wall profiles are not too strongly dependent on the radial variation of H: in particular the wall energies differ by about 1% at most. The results should be applicable to curved walls whenever local demagnetizing fields are not expected to modify the Bloch character of the wall severely.