Magnetic dipole oscillations and radiation damping

American Journal of Physics

Volumn 65, Issue 1, 1997, Pages 81-87

  Stump, Daniel R ^a   Pollack, Gerald L ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031541241     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18523     Document Type: Article

References (11)

1. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), 2nd ed.
2. D. J. Griffiths, Introduction to Electrodynamics (Prentice-Hall, Englewood Cliffs, 1989), 2nd ed.
3. H. C. Ohanian, Classical Electrodynamics (Allyn and Bacon, Boston, 1988), Eqs. (57) and (58) of Chap. 14.
4. Our problem is closely related to the problem of an electric dipole oscillating in an electric field. The principal difference is that the radiation rate is larger for the electric dipole. One can obtain the electric and magnetic radiation-zone fields for an electric dipole, whose electric-dipole moment is p, by making the replacements m→cp,E→-cB, and B→E/c, in Eqs. (3) and (4) (Ref. 5).
5. M. A. Heald and J. B. Marion, Classical Electromagnetic Radiation, (Saunders, Fort Worth, 1995), Eqs. (9.11) and (9.12), 3rd ed.
6. Reference 2, Eq. (9.53).
7. rad can be derived from the interaction of m with its own radiation field, in the manner that Abraham and Lorentz, and later Dirac, derived the reaction force on an accelerating charge from the interaction of the charge with its own radiation field. However, this would be the subject of another paper.
8. 4 reaches x = ±∞ in a finite time.
9. Dirac analyzed the equivalent problem for a radiating charge. P. A. M. Dirac, "Classical theory of radiating electrons," Proc. R. Soc. London Ser. A 167, 148-169 (1938).
10. M. Abramowitz and I. A. Stegun (Eds.), Handbook of Mathematical Functions (U. S. Government Printing Office, Washington, DC, 1965).
11. E. Jahnke and F. Emde, Tables of Functions (Dover, New York, 1945), 4th ed.