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The hard axis magnetic field distribution within the uniaxial magnetic film element of a thin film memory device is calculated. In the memory device considered, the driving stripline and magnetic film are located between a magnetic keeper and a conducting ground plane. The difficulty encountered in the keeper-ground plane problem arises from the requirement of satisfying boundary conditions at the keeper and ground plane surfaces simultaneously, or in other words, from considering an infinite set of film and stripline images. A method of solution using Fourier transforms proves satisfactory. The dependence of the magnetic field distribution on the relative position of the elements and on variations in material properties is assessed.