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

U Bellotti-+ and M Bornatici-+,++

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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.


PACS

12.20.-m Quantum electrodynamics

02.30.Nw Fourier analysis

MSC

78A40 Waves and radiation

42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

81V10 Electromagnetic interaction; quantum electrodynamics

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 12 (21 June 1997)

Received 14 October 1996, in final form 12 February 1997



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