Geometries with the demagnetizing energy independent of the direction of magnetization

IEEE Transactions on Magnetics

Volumn 43, Issue 3, 2007, Pages 982-991

  Sakurai, Shigeo ^a   Soda, Naoya ^a   Kobayashi, Masanori ^a   Rowlands, G ^b  

^a IBARAKI UNIVERSITY   (Japan)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

Demagnetizing energy; Nonellipsoidal shape; Symmetry groups; Uniform magnetization

Indexed keywords

COMPUTATIONAL GEOMETRY; MAGNETIC FIELDS; MAGNETIZATION;

DEMAGNETIZING ENERGY; NONELLIPSOIDAL SHAPE; ROTOINVERSION; SINGLE-DOMAIN PARTICLES; SYMMETRY GROUPS; UNIFORM MAGNETIZATION;

MAGNETIC STRUCTURE;

EID: 33847693116     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2006.877108     Document Type: Article

References (38)

1. J. Frenkel and J. Dorfman, "Spontaneous and induced magnetization in ferromagnetic bodies," Nature, vol. 126, pp. 274-275, Aug. 23, 1930.
2. E. C. Stoner, "Ferromagnetism: Magnetization curves," Phys. Soc. Rep. Prog. Phys., vol. 13, pp. 83-183, 1950.
3. A. Hubert and R. Schafer, Magnetic Domains - The Analysis of Magnetic Microstructures. Berlin, Germany: Springer-Verlag, 2000, ch. 3.
4. H. Qu and J. Y. Li, "Effective medium theory of magnetization reversal in magnetically interacting particles," IEEE Trans. Magn., vol. 41, no. 3, pp. 1093-1099, Mar. 2005.
5. C. C. Chang, Y. C. Chang, W. S. Chung, J. C. Wu, Z. H. Wei, M. F. Lai, and C. R. Chang, "Influences of the aspect ratio and film thickness on switching properties of elliptical Permalloy elements," IEEE Trans. Magn., vol. 41, no. 2, pp. 947-949, Feb. 2005.
6. Y. Uesaka, H. Endo, Y. Nakatani, N. Hayashi, and H. Fukushima, "Switching time of single magnetic particle and maximum recording frequency of perpendicular magnetic recording," IEEE Trans. Magn., vol. 42, no. 7, pp. 1892-1895, Jul. 2006.
7. M. Igarashi, M. Hara, A. Nakamura, Y. Hosoe, and Y. Sugita, "Highdensity perpendicular recording media with large grain separation," IEEE Trans. Magn., vol. 41, no. 2, pp. 549-554, Feb. 2005.
8. 2 hard/soft-stacked perpendicular recording media," IEEE Trans. Magn., vol. 41, no. 10, pp. 3136-3138, Oct. 2005.
9. H. Ito, T. Shima, K. Takanashi, Y. K. Takahashi, and K. Hono, "Control of the size for octahedral FePt nanoparticles and their magnetic properties," IEEE Trans. Magn., vol. 41, no. 10, pp. 3373-3375, Oct. 2005.
10. M. Nawate, N. Nishimura, S. Honda, and H. Tanaka, "Ab initio calculation for magnetism of Pd nanoparticles," IEEE Trans. Magn., vol. 41, no. 10, pp. 3424-3427, Oct. 2005.
11. T. Matsuda, J. Endo, N. Osakabe, A. Tonomura, and T. Arii, "Morphology and structure of biogenic magnetite particles," Nature, vol. 302, pp. 411-412, 1983.
12. L. W. Yeary, J.-W. Moon, L. J. Love, J. R. Thompson, C. J. Rawn, and T. J. Phelps, "Magnetic properties of biosynthesized magnetite nanoparticles," IEEE Trans. Magn., vol. 41, no. 12, pp. 4384-4388, Dec. 2005.
13. R. P. Cowburn, D. K. Koltsov, A. O. Adeyeye, M. E. Welland, D. M. Tricker, and T. J. Phelps, "Single-domain circular nanomagnets," Phys. Rev. Lett, vol. 83, pp. 1042-1045, 1999.
14. Y. G. Yoo, M. Kläui, C. A. F. Vaz, L. J. Heyderman, and J. A. C. Bland, "Switching field phase diagram of Co nanoring magnets," Appl. Phys. Lett., vol. 82, pp. 2470-2472, 2003.
15. M. Beleggia, J. M. Lau, M. A. Schofield, Y. Zhu, S. Tandon, and M. DeGraef, "Phase diagram for magnetic nano-rings," J. Magn. Magn. Mater., vol. 301, pp. 131-146, 2006.
16. E. C. Stoner, "The demagnetizing factors for ellipsoids," Phil. Mag., vol. 37, pp. 803-821, 1945.
17. P. Rhodes and G. Rowlands, "Demagnetising energies of uniformly magnetized rectangular blocks," in Proc. Leeds Phil. Soc., 1954, vol. 6, pp. 191-210.
18. R. I. Joseph, "Ballistic demagnetizing factor in uniformly magnetized rectangular prisms," J. Appl. Phys., vol. 38, pp. 2405-2406, 1967.
19. A. Aharoni, "Demagnetizing factors for rectangular ferromagnetic prisms," J. Appl. Phys., vol. 83, pp. 3432-3434, 1998.
20. A. Aharoni, L. Pust, and M. Kief, "Comparing theoretical demagnetizing factors with the observed saturation process in rectangular shields," J. Appl. Phys., vol. 87, pp. 6564-6566, 2000.
21. D. X. Chen, E. Pardo, and A. Sanchez, "Demagnetizing factors of rectangular prisms and ellipsoids," IEEE Trans. Magn., vol. 38, no. 4, pp. 1742-1752, Jul. 2002.
22. D. X. Chen, J. A. Brug, and R. B. Goldfarb, "Demagnetizing factors for cylinders," IEEE Trans. Magn., vol. 27, no. 4, pp. 3601-3619, Jul. 1991.
23. M. Kobayashi and Y. Ishikawa, "Surface magnetic charge distributions and demagnetizing factors of circular cylinders," IEEE Trans. Magn., vol. 28, no. 3, pp. 1810-1814, May 1992.
24. D.-X. Chen, C. Prados, and E. Pardo, "Transverse demagnetizing factors of long rectangular bars: I. Analytical expressions for extreme values of susceptibility," J. Appl. Phys., vol. 91, pp. 5254-5259, 2002.
25. E. Pardo, A. Sanchez, and D.-X. Chen, "Transverse demagnetizing factors of long rectangular bars: II. Numerical calculations for arbitrary susceptibility," J. Appl. Phys., vol. 91, pp. 5260-5267, 2002.
26. E. Pardo, D.-X. Chen, and A. Sanchez, "Demagnetizing factors for square bars," IEEE Trans. Magn., vol. 40, no. 3, pp. 1491-1498, May 2004.
27. D.-X. Chen, E. Pardo, and A. Sanchez, "Demagnetizing factors for rectangular prisms," IEEE Trans. Magn., vol. 41, no. 6, pp. 2077-2088, Jun. 2005.
28. H. Fukushima, Y. Nakatani, and N. Hayashi, "Volume average demagnetizing tensor of rectangular prisms," IEEE Trans. Magn., vol. 34, no. 1, pp. 193-198, Jan. 1998.
29. M. Beleggia and M. D. Graef, "On the computation of the demagnetization tensor field for an arbitrary particle shape using a Fourier space approach," J. Magn. Magn. Mater., vol. 263, pp. L1-L9, 2003.
30. S. Tandon, M. Beleggia, Y. Zhu, and M. De Graef, "On the computation of the demagnetization tensor for uniformly magnetized particles of arbitrary shape. Part I: Analytical approach," J. Magn. Magn. Mater., vol. 271, pp. 9-26, 2004.
31. _, "On the computation of the demagnetization tensor for uniformly magnetized particles of arbitrary shape. Part II: numerical approach," J. Magn. Magn. Mater., vol. 271, pp. 27-38, 2004.
32. C. Giuffrida, G. Gruosso, and M. Repetto, "Finite formulation of non-linear magnetostatics with integral boundary conditions," IEEE Trans. Magn., vol. 42, no. 5, pp. 1503-1511, May 2006.
33. R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics. Reading, MA: Addison-Wesley, 1967, vol. II, ch. 6.
34. _, The Feynman Lectures on Physics. Reading, MA: Addison-Wesley, 1967, vol. II, ch. 15.
35. F. Nye, Physical Properties of Crystals. New York: Oxford, 1985.
36. A. Holden, Shapes, Space, and Symmetry. New York: Dover, 1971.
37. http://www.mathconsult.ch/showroom/unipoly/list.html.
38. http://www.korthalsaltes.com/index_hoofd.html.