Abstract
A solution of the non-linear differential equations of a domain boundary is reported for the case of a thin film in which the demagnetizing energy associated with the magnetization at right angles to the plane of the film is included. The solution leads to a proposal for the internal structure of the cross-tie wall which has been observed in thin films of permalloy. The effects of the magnetic poles in this model of a cross-tie wall are discussed and compared with observations. The energy density of the wall is suggested to be about 10 ergs/cm2 and the correlation between cross-tie spacing and length is derived.

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