Analytical solutions for the three‐dimensional side‐fringing field of magnetic recording heads

Using conical coordinates, and in the limit of small gap length, the three‐dimensional boundary value problem for the side‐fringing field of beveled recording heads is reduced to two dimensions. This makes it possible to use analytic functions of a complex variable, and find simple expressions, in terms of elementary functions, for the scalar potential and three‐dimensional magnetic fringing field. For a given bevel angle, the spectral response for side reading from in‐plane and perpendicular magnetization depends on a single dimensionless parameter, and a quasi‐exponential falloff of this response is calculated as a function of the bevel angle.