Exact Expression for Radiation of an Accelerated Charge in Classical Electrodynamics |
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| Authors: | Young-Sea Huang Kang-Hao Lu |
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| Institution: | (1) Department of Physics, Soochow University, Shih-Lin, Taipei, Taiwan;(2) Massachusetts Institute of Technology, Cambridge, MA 02139, USA |
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| Abstract: | The present expression of radiation of an accelerated point charge is only approximately valid. The exact expression of radiation
of an accelerated point charge is derived based on special relativity, and using the Larmor formulation for the radiation
of an charged particle being accelerated, but instantaneously at rest. The totaled radiation power obtained by the exact expression
is the same as Liénard’s generalization of the Larmor formula. |
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| Keywords: | Electromagnetic radiation Synchrotron radiation Larmor formula Doppler effect Relativistic Doppler effect Special relativity |
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