The Karlqvist approximation revisited
C. Tannous
TL;DR
This paper reviews the historical Karlqvist approximation in magnetic recording head theory and compares it with advanced mathematical approaches that satisfy edge conditions for more precise results.
Contribution
It revisits the Karlqvist approximation and introduces comparisons with modern methods like Green, Fourier, and conformal mapping for improved accuracy.
Findings
Karlqvist approximation is foundational in magnetic head theory
Advanced methods provide more exact solutions respecting edge conditions
Comparison highlights the limitations and improvements over the classical approximation
Abstract
The Karlqvist approximation signaling the historical beginning of magnetic recording head theory is reviewed and compared to various approaches progressing from Green, Fourier, Conformal mapping that obeys the Sommerfeld edge condition at angular points and leads to exact results.
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Taxonomy
TopicsMathematical functions and polynomials · Electromagnetic Scattering and Analysis · Numerical methods in inverse problems