Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T04:30:58.346Z Has data issue: false hasContentIssue false
  • English
  • Français

The electromagnetic fields of moving dipoles

Published online by Cambridge University Press:  24 October 2008

G. N. Ward
G. N. Ward
Affiliation:
The College of Aeronautics, Cranfield
Get access Rights & Permissions [Opens in a new window]

Abstract

Recent papers by J. R. Ellis and the author contain formulae for the fields of moving dipoles which are expressed in rather different forms in the two papers, and it appears that the author's results are more general than Ellis's. Here, the results are re-derived from a consideration of the Hertzian six-vector potential for a distribution of moving dipoles, and a comparison is made with the previous forms. It is found that Ellis's results are essentially as general as the author's. The expressions for the potentials and the field tensors are treated as weak functions in Temple's sense, and very few restrictions have to be imposed on the dipole moments and velocities, which may be expressed either as functions of coordinate time or as functions of proper-time.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 547 - 553
Copyright
Copyright © Cambridge Philosophical Society 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Ellis, J. R.The fields of an arbitrarily moving dipole. Proc. Cambridge Philos. Soc. 59 (1963), 759–774.CrossRefGoogle Scholar
(2)Stratton, J. A.Electromagnetic theory (McGraw-Hill; New York, 1941).Google Scholar
(3)Temple, G.The theory of weak functions. I and II. Proc. Roy. Soc. Ser. A, 276 (1963), 149–167 and 168–177.Google Scholar
(4)Ward, G. N.On the integration of Maxwell's equations, and charge and dipole fields. Proc. Roy. Soc. Ser. A, 279 (1964), 562–571.Google Scholar
(5)Ward, G. N.Some fields associated with a moving point, and weak solutions of the wave equation. Proc. Cambridge Philos. Soc. 61 (1965), 191–200.CrossRefGoogle Scholar