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By matching a singular function approximation to the Fourier solution at the air-bearing surface (ABS), we have derived a three-dimensional (3-D) analytic model of a shielded giant magnetoresistive (GMR) head, with side shields, for perpendicular replay. We present an explicit expression for the potential in the ABS and give values for the parameters in that expression for a range of practical head dimensions. Using only a few terms of this singular potential model, we show that the vertical field is accurate to within 1% of the sensor potential in the region of the medium for the majority of head dimensions suitable for magnetic recording. [ABSTRACT FROM AUTHOR]

We investigated the effects of transition curvature on T50 and Vp-p for a shielded giant magnetoresistive (GMR) element reading a single, isolated transition recorded on a perpendicular medium in the presence of a soft magnetic underlayer. We considered displacement and rotation of the read head relative to the recorded track and a range of read head geometries. The curvature of the transition adversely affects T50, which also increases with azimuth angle. Both T50 and Vp-p decrease as either the GMR element or the element-side shield spacing is reduced. [ABSTRACT FROM AUTHOR]

Using the Fourier method, we have derived a three-dimensional, fully analytic model of a shielded magnetoresistive or giant magnetoresistive head for perpendicular replay. The head may include side shields. The field and the spectral response function are expressed in closed form. Here, we use the model to show the effect of varying the sensor-shield spacings and the air-bearing-surface-underlayer separation on the field and response of the sensor at high areal density. [ABSTRACT FROM AUTHOR]

In a move to extend the storage capabilities of magnetic storage systems beyond 1 Tb/in², the use of patterned media has often been cited. Here, recorded domains are constrained by the geometry of the magnetic island and not the geometry of the recording head. Conventional two-dimensional readout modeling techniques, using the reciprocity integral, rely on the assumption that the across-track medium magnetization is uniform under the giant magnetoresistive replay head. However, in the case of a geometrically constrained medium this is not the case. This paper investigates the effect that the island geometry has on the characteristics of the replay signal in perpendicular patterned magnetic media storage through the extension of the reciprocity integral to three dimensions. The paper describes replay pulses that offer different characteristics from those obtained by conventional two-dimensional techniques. The origins of these differences arc explained by the variation in medium magnetization across the track. [ABSTRACT FROM AUTHOR]

Presents a study which focused on integrals that arise in two-dimensional models of shielded magnetoresistive heads. Coefficient integrals; Potential integrals; Field integrals.

Presents information on a study which offered two analytic solutions for idealized mathematical models of double-element shielded magnetoresistive magnetic recording heads. Use of the Fourier analysis or conformal mapping ideas to study the magnetic field of a recording head; Magnetic field calculations; Comparison with approximate results; Conclusion.

Examines the effects of shield recession on the head-field components and on the replay characteristics of a shielded magnetoresistive (MR) sensor. Schematic diagram of a idealized MR sensor with recessed shields; How to obtain the magnetic potential or the head-field components; Conclusion.

Proposes a technique in the application of a keepered media system. Concept of the keepered-media-reproduction with Dual Magnetoresistive (DMR) heads; Information on keeper layer components; Feasibility of keepered-medium reproduction with DMR heads.

Presents a study on the application of Dual Magnetoresistive reproductive mode to improve the design and operation of high-performance multi-track Read-While-Write (RWW) heads. Mathematical model; Analysis of results; Experimental measurements.