Multipole expansion in magnetostatics

American Journal of Physics

Volumn 66, Issue 3, 1998, Pages 228-231

  Gonzalez H ^a   Juarez S R ^b   Kielanowski, P ^c   Loewe, Mark ^d  

^a UNIVERSIDAD SURCOLOMBIANA   (Colombia)

^b INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

^c DEPARTAMENTO DE FÍSICA   (Mexico)

^d The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346399504     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18850     Document Type: Article

References (11)

1. John David Jackson, Classical Electrodynamics (Wiley, New York, 1975), 2nd ed.
2. David J. Griffiths, Introduction to Electrodynamics (Prentice-Hall, Englewood Cliffs, NJ, 1989), 2nd ed.
3. J. B. Bronzan, "The Magnetic Scalar Potential," Am. J. Phys. 39, 1357-1359 (1971); J. B. Bronzan, "Magnetic Scalar Potentials and the Multipole Expansion for Magnetostatics," in Electromagnetism: Paths to Research, edited by Doris Teplitz (Plenum, New York, 1982), pp. 171-181.
4. J. B. Bronzan, "The Magnetic Scalar Potential," Am. J. Phys. 39, 1357- 1359 (1971); J. B. Bronzan, "Magnetic Scalar Potentials and the Multipole Expansion for Magnetostatics," in Electromagnetism: Paths to Research, edited by Doris Teplitz (Plenum, New York, 1982), pp. 171-181.
5. C. G. Gray, "Magnetic multipole expansions using the scalar potential," Am. J. Phys. 47, 457-459 (1979); Am. J. Phys. 47, 1011 (1979).
6. C. G. Gray, "Magnetic multipole expansions using the scalar potential," Am. J. Phys. 47, 457-459 (1979); Am. J. Phys. 47, 1011 (1979).
7. The vector b(r) is determined only up to the gradient of a scalar. For any bounded current distribution, this freedom may be used to choose b(r)=0 outside a sphere which contains the current distribution. We assume this choice has been made.
8. inii1...in-1in+1...il).
9. il...il(ξ̂)).
10. Piotr Kielanowski and Mark Loewe, "Exact Fields of Electrostatic and Magnetostatic Multipoles," Rev. Mex. Fís. (to appear).
11. ki1...in-1kin+1...il-1 of the tensor in Eq. (36) vanish.