Convergence analysis of a fourier-based solution method of the laplace equation for a model of magnetic recording

DOI

10.1155/2008/154352

Document Type

Journal Article

Publication Date

4-1-2008

Publication Title

Mathematical Problems in Engineering

Volume

2008

ISSN

1024123X

Abstract

When engineers model the magnetostatic fields applied to recording heads of computer hard drives due to a magnetic recording medium,the solution of Laplace's equation must be found. A popular solution method is based on Fourier analysis. However, due to the geometry of the read head model, an interesting mathematical problem arises. The coefficients for the Fourier series solution of the desired magnetic potential satisfy an infinite system of linear equations. In practice, the infinite system is truncated to a finite system with little consideration for the effect this truncation has on the solution. The paper will provide a proper understanding of the underlying problem and a formal analysis of the effect of truncation.

Open Access

Gold

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