Accurate approximation of fields and spectral response functions for perpendicular recording heads

IEEE Transactions on Magnetics

Volumn 35, Issue 4, 1999, Pages 2172-2179

  Wilton, David T ^a   Shute, Hazel A ^a   Mapps, Desmond J ^a  

^a UNIVERSITY OF PLYMOUTH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; MAGNETIC RECORDING; MAGNETORESISTANCE; MATHEMATICAL TECHNIQUES;

DIGITAL RECORDING; RECORDING HEADS; SPECTRAL RESPONSE FUNCTION;

MAGNETIC HEADS;

EID: 0032629593     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.774190     Document Type: Article

References (30)

1. M. A. Akhter, D. J. Mapps, G. Pan, and D. T. Wilton, "New materials for perpendicular magnetic disk recording," Trans. Materials Res. Soc. Jpn., vol. 15, pt. 2, pp. 727-732, 1994.
2. D. A. Thompson, "The role of perpendicular recording in the future of hard disk storage," J. Mag. Soc. Jpn., vol. 21, no. S2, pp. 9-15, 1997.
3. IBM press release, Dec. 1997 [Online]. Available: http//www.ibm.com/Press/media.nsf/allsparklers?openview&count=5000.
4. E. S. Murdock, R. F. Simmons, and R. Davidson, "Roadmap to 100 gbits/in2 media challenges," IEEE Trans. Magn., vol. 28, pp. 3078-3083, Sept. 1992.
5. G. J. Y. Fan, "Analysis of a practical perpendicular head for digital purposes," J. Appl. Phys., vol. 31, pp. 4028-4038, May 1960.
6. O. Karlqvist, "Calculation of the magnetic field in the ferromagnetic layer of a magnetic drum," Trans. R. Inst. Technol. Stockholm, vol. 86, pp. 1-27, 1954.
7. G. J. Y. Fan, "A study of the playback process of a magnetic ring head," IBM J. Res. Develop., no. 5, pp. 321-325, Oct. 1961.
8. R. I. Potter, "Digital magnetic recording theory," IEEE Trans. Magn., vol. MAG-10, pp. 502-508, Sept. 1974.
9. _, "Analytic expressions for the fringe fields of finite pole-tip length recording heads," IEEE Trans. Magn., vol. MAG-11, pp. 80-81, Jan. 1975.
10. J. C. Mallinson and H. N. Bertram, "On the characteristics of polekeeper head fields," IEEE Trans. Magn., vol. MAG-20, pp. 721-723, Sept. 1984.
11. J. J. M. Ruigrok, "Analysis of metal-in-gap heads," IEEE Trans. Magn., vol. MAG-20, pp. 872-874, Sept. 1984.
12. D. T. Wilton, "An analysis of the magnetic field of a ring head with a highly permeable underlayer," IEEE Trans. Magn., vol. 27, pp. 3751-3755, July 1991.
13. D. T. Wilton and D. J. Mapps, "An analysis of a shielded magnetic pole for perpendicular recording," IEEE Trans. Magn., vol. 29, pp. 4182-4193, Nov. 1993.
14. H. W. Wong-Lam, "A simple transition response model for magnetoresistive heads on thin-film media," IEEE Trans. Magn., vol. 33, pp. 799-808, Jan. 1997.
15. J. J. M. Ruigrok, Short-Wavelength Magnetic Recording. Oxford, UK: Elsevier Advanced Techn., 1990.
16. G. A. Bertero, H. N. Bertram, and D. M. Barnett, "Fields and transforms for thin film heads," IEEE Trans. Magn., vol. 29, pp. 67-76, Jan. 1993.
17. Y. Zhang, S. Shtrikman, and H. N. Bertram, "Playback pulse shape and spectra for shielded MR heads," IEEE Trans. Magn., vol. 33, pp. 1093-1103, Mar. 1997.
18. D. A. Lindholm, "Dependence of reproducing gap null on head geometry," IEEE Trans. Magn., vol. MAG-11, pp. 1692-1696, Nov. 1975.
19. T. J. Szczech, D. M. Perry, and K. E. Palmquist, "Improved field equations for ring heads," IEEE Trans. Magn., vol. MAG-19, pp. 1740-1744, Sept. 1983.
20. T. J. Szczech and P. R. Iverson, "An approach for deriving field equations for magnetic heads of different geometric configurations," IEEE Trans. Magn., vol. MAG-22, pp. 355-360, Sept. 1986.
21. D. T. Wilton, D. J. Mapps, and H. A. Shute, "Exact field calculations for conventional and graded magnetization thin film recording heads," IEEE Trans. Magn., vol. 30, pp. 253-263, Mar. 1994.
22. _, "A graded magnetization single pole head for perpendicular recording," IEEE Trans. Magn., vol. 31, pp. 2339-2350, May 1995.
23. H. A. Shute, D. T. Wilton, and D. J. Mapps, "Approximate spectral response functions for single pole heads," JMMM, nos. 157/158, pp. 577-578, 1996.
24. D. G. Duffy, Solution of Partial Differential Equations. Blue Ridge Summit, PA: TAB Books, 1986.
25. D. A. Lindholm, "Image fields for two-dimensional recording heads," IEEE Trans. Magn., vol. MAG-13, pp. 1463-1465, Sept. 1977.
26. H. Matzner and S. Shtrikman, "Some improved formulas for the Westmijze head," IEEE Trans. Magn., vol. 33, pp. 820-825, Jan. 1997.
27. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York: Dover, 1965.
28. H. N. Bertram, Theory of Magnetic Recording. Cambridge, U.K: Cambridge Univ. Press, 1994, ch. 7.
29. V. B. Minuhin, "Wavelength responses of probe heads with ideal windings in the presence of a permeable media underlayer," IEEE Trans. Magn., vol. MAG-22, pp. 1315-1320, Sept. 1986.
30. H. A. Shute, D. T. Wilton, and D. J. Mapps, "Analytic spectral response functions for two-dimensional models of perpendicular recording heads," IEEE Trans. Magn., vol. 32, pp. 3323-3333, July 1996.