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Emission by multipoles: an exact result in terms of reducible multipoles

U Bellotti et al 1997 J. Phys. A: Math. Gen. 30 4273-4281   doi: 10.1088/0305-4470/30/12/015  Help

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U Bellotti-+ and M Bornatici-+++
-+ INFM, Department of Physics `A Volta', University of Pavia, Pavia 27100, Italy
++ Department of Physics, University of Ferrara, Ferrara 44100, Italy

Abstract. On the basis of an expression for the (time-averaged) radiated power comprising the radiation sources at the retarded time, an exact expression relevant to the emission by reducible multipoles is obtained, which, along with the emission from independent multipoles, accounts for the emission from the interaction between multipoles of different order. Whereas the former contribution is known in literature, at least for the lower-order multipoles, the latter contribution so far appears to have been overlooked. The result thus obtained is discussed in reference to the treatment of multipole emission in terms of irreducible multipoles, generalized to non-monochromatic sources.

Print publication: Issue 12 (21 June 1997)
Received 14 October 1996, in final form 12 February 1997

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