Acceleration without radiation

Journal Article · Sun Dec 01 04:00:00 EST 1985 · Am. J. Phys.; (United States)

DOI:https://doi.org/10.1119/1.14084· OSTI ID:5005000

Abbott, T A; Griffiths, D J

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

Related Subjects

657007* -- Electricity & Magnetism-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATION
CURRENTS
CYLINDERS
ELECTRIC CURRENTS
ELECTROMAGNETIC RADIATION
POWER
RADIATIONS