The new solution of an idealized mathematical model of the field due to a symmetrically shielded magnetic pole suitable for perpendicular recording is presented. Accurate Fourier coefficients and corresponding magnetic fields are obtained for a representative pole dimension and a range of pole/shield separation distances, and comparisons are made with the field of an unshielded isolated pole. It is found that the presence of a shield may significantly increase both the peak field strength and the field gradient. The highest field gradients presented are predicted for in-contact recording with certain thin-film pole/shield geometries.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Wilton et al. (1993) studied this question.
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