Abstract
The magnetic interaction between a point dipole of horizontally oriented moment and a superconducting sphere in the complete Meissner state is investigated in detail. It is demonstrated that the levitation force for this configuration is precisely one half the value of the configuration with vertically oriented point dipole. An extension to other applied fields, still assuming the perfect flux exclusion state, is presented. The results have application to models for magnetic levitation and magnetic force microscopy.
Similar content being viewed by others
References
M. W. Coffey, Phys. Rev. B 52, R9851(1995).
A. Wadas and H. J. Güntherodt, Phys. Lett. A 146, 277(1990); T. Göddenhenrich et al., Appl. Phys. Lett. 57, 2612(1990); C. Schönenberger and S. F. Alvarado, Z. Phys. B 80, 373(1990).
M. W. Coffey, J. Supercond. 13, 381(2000).
M. W. Coffey, J. Phys. A 28, 4201(1995); M. W. Coffey and E. T. Phipps, Phys. Rev. B 53, 389(1996).
D. N. Ghosh Roy, Methods of Inverse Problems in Physics (CRC Press, Boca Raton, 1991); D. W. McLaughlin, ed., Inverse Problems (AMS, Providence, RI, 1984); A. G. Tijhuis, Electro-magnetic Inverse Profiling: Theory and Numerical Implementation (VNU Science Press, NY 1987); G. M. L. Gladwell, Inverse Problems in Scattering: An Introduction (Kluwer Academic, Dordrecht, The Netherlands, 1993).
M. W. Coffey, Phys. Rev. B 57, 11648(1998); M. W. Coffey, J. Supercond. 10, 567(1997); M. W. Coffey, Int. J. Eng. Sci. 36, 1493(1998); M. W. Coffey, Inv. Probs. 15, 669(1999); M. W. Coffey, Phys. Rev. Lett. 83, 1648(1999); M. W. Coffey, Phys. Rev. B 60, 3346(1999).
H. J. Reittu and R. Laiho, Supercond. Sci. Technol. 5, 448(1992); A. Wadas et al., Z. Phys. B 88, 317(1992); H. J. Hug et al., Physica C 175, 357(1991).
H. J. Hug et al., Physica B 194–196, 377(1994); A. Moser et al., J. Vac. Sci. Technol. B 12, 1586(1994); H. J. Hug et al., Physica C 235–240, 2695(1994); A. Moser et al., Phys. Rev. Lett. 74, 1847(1995).
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1980).
P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw Hill, New York, 1953).
W. R. Symthe, Static and Dynamic Electricity (McGraw Hill, New York, 1950).
J. Mathews and R. L. Walker, Mathematical Methods of Physics (Benjamin/Cummings, Menlo Park, CA, 1970); J. A. Stratton, Electromagnetic Theory (McGraw Hill, New York, 1941).
D. Rugar et al., Science 264, 1560(1994); O. Züger and D. Rugar, J. Appl. Phys. 75, 6211(1994); C. W. Yuan et al., Appl. Phys. Lett. 65, 1308(1994); U. Stahl et al., Appl. Phys. Lett. 65, 2878(1994); H. L. Edwards, J. T. Markert, and A. L. de Lozanne, Phys. Rev. Lett. 69, 2967(1992); H. L. Edwards et al., Phys. Rev. Lett. 75, 1387(1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Coffey, M.W. Levitation Force between a Horizontally Oriented Point Magnetic Dipole and a Superconducting Sphere. Journal of Superconductivity 15, 257–262 (2002). https://doi.org/10.1023/A:1019967529087
Issue Date:
DOI: https://doi.org/10.1023/A:1019967529087