ANALYTIC AND QUASI-ANALYTIC FORMULAS FOR MR HEADS

We present analytic procedures for calculating the magnetostatic and r esponse functions of magnetoresistive (MR) recording heads. To apply t hese methods we make several simplifying approximations, which have be en found to be valid for typical recording head geometries. In particu lar, we show how to calculate the bias magnetization distribution, ide al transition pulse shape, and frequency response for the unshielded M R (UMR) head. To do this, we summarize a method based on conformal map ping and reciprocity, and present a simpler direct method which produc es identical results. We extend this alternate method to find analytic expressions for the saturated bias magnetization.