Structure of a Bloch Wall

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Abstract
The standard form of a domain wall in a ferromagnetic medium is the result of a one-dimensional variational principle and is valid only for an unbounded medium. In a bounded ferromagnetic body two- or three-dimensional dipolar fields arise wherever a Bloch wall meets a surface of the body, and the form of the wall is distorted by these fields. If the fields and the corresponding distortions are small, they can be calculated approximately. We carry out the calculation for 180° walls in a ferromagnetic film with uniaxial anisotropy, and with the easy axis of magnetization either parallel or perpendicular to the surfaces of the film. Numerical results are not obtained but formulas are presented ready for evaluation.