A theoretical analysis of shielded magnetoresistive heads by conformal mapping

A new theoretical analysis of an asymmetrically shielded magnetoresistive sensor in the presence of a high-permeability underlayer is obtained by conformal mapping. The symmetrically shielded head is a special case. The solution also covers recessed sensors, and can be extended to the no underlayer situation. Head fields, spectral response functions, phase, dibit shift, and roll-off results for various head configurations are provided and discussed.