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Acceleration without radiation

Journal Article · · Am. J. Phys.; (United States)
DOI:https://doi.org/10.1119/1.14084· OSTI ID:5005000

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.

Research Organization:
Stanford Linear Accelerator Center, Stanford University, Stanford, California, 94305 and Physics Department, Reed College, Portland, Oregon 97202
DOE Contract Number:
AC03-76SF00515
OSTI ID:
5005000
Journal Information:
Am. J. Phys.; (United States), Journal Name: Am. J. Phys.; (United States) Vol. 53:12; ISSN AJPIA
Country of Publication:
United States
Language:
English