Abstract
An exact expression is found for the magnetostatic energy of interaction of a synthetic antiferromagnet with a free layer of a spin-tunnel element, the ferromagnetic layers of which have the shape of strongly oblate ellipsoids of revolution. It has been established that the exact value of this interaction energy can differ significantly from the usual value, which is calculated using the expression for the demagnetizing field. The parameters are calculated for which the complete compensation of the magnetic interaction of a synthetic antiferromagnet occurs.
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