We study the radiation generated by electric currents in (1) infinite cylinders with longitudinal flow, (2) infinite cylinders with solenoidal flow, and (3) infinite planes. In each case we work out four specific examples, for which the retarded fields can be calculated exactly, and we derive a ‘‘Larmor-like’’ formula for the power radiated, in the limit of infinitesimal cross section. We then consider sinusoidal currents with finite cross section, and discover that for certain special frequencies the external fields are zero and there is no radiation. We relate our results to the work of Goedecke and others, and conclude with some remarks on the radiation reaction in these configurations.
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Abbott et al. (1985) studied this question.
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