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The fields of an arbitrarily moving dipole

Published online by Cambridge University Press:  24 October 2008

J. R. Ellis
J. R. Ellis
Affiliation:
Department of Mathematics, King's College, London†
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Abstract

The 4-dimensional tensor calculus is used to derive the retarded fields of an accelerated electric dipole of constant moment. Following the analogous case of the accelerated charge, it is shown that the result can be expressed concisely in terms of ordinary three-vectors. The radiation field is discussed for important cases including that of the slowly moving dipole. Cases are cited to exhibit the existence of a forward beam of radiation for uniform circular motion.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 4 , October 1963 , pp. 759 - 774
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Abraham, M.Theorie der Elektrizität, Bd. 2 (Teubner; Leipzig, 1920).Google Scholar
(2)Møller, C.The theory of relativity (Oxford, 1955).Google Scholar
(3)Panofsky, W. K. H. and Phillips, M.Classical electricity and magnetism (Addison-Wesley; Reading, Mass., 1955).Google Scholar
(4)Pauli, W.Theory of relativity (Pergamon; London, 1958).Google Scholar
(5)Synge, J. L.Relativity: the special theory (North-Holland; Amsterdam, 1956).Google Scholar