加速电荷辐射功率与辐射反应功率损失的离散性
Discrepancy between power radiated and the power loss due to radiation reaction for an accelerated charge
摘要:
在这里,我们研究辐射功率之间的差异,计算从坡印廷通量在无穷远,和功率损耗由于辐射反应的加速充电。需要强调的是,人们需要保持一个明确的区别之间的电磁功率接收的远程观察员和机械功率损失所经历的收费。在文学中,这两个量几乎被视为同义词,但两者通常可能完全不同。结果表明,在周期性运动的情况下,这两个配方产生的功率损耗在时间平均意义上是相同的,即使,瞬时率是相当不同的。证明了两个功率公式之间的不一致仅仅反映了延迟时间和现在时间之间电荷在自场中的功率的差异。特别是,在均匀加速电荷的情况下,当前进入自场的功率等于延迟时间进入自场的功率加上加速场的功率,通常称为辐射。从远场与均匀加速电荷的瞬时位置的比较,它表明,它的所有字段,包括加速字段,保持在电荷周围,而不是{ \em辐射离开}。
英文摘要:
We examine here the discrepancy between the radiated power, calculated from the Poynting flux at infinity, and the power loss due to radiation reaction for an accelerated charge. It is emphasized that one needs to maintain a clear distinction between the electromagnetic power received by distant observers and the mechanical power loss undergone by the charge. In literature both quantities are treated as almost synonymous, the two in general could, however, be quite different. It is shown that in the case of a periodic motion, the two formulations do yield the power loss in a time averaged sense to be the same, even though, the instantaneous rates are quite different. It is demonstrated that the discordance between the two power formulas merely reflects the difference in the power going in self-fields of the charge between the retarded and present times. In particular, in the case of a uniformly accelerated charge, power going into the self-fields at the present time is equal to the power that was going into the self-fields at the retarded time plus the power going in acceleration fields, usually called radiation. From a comparison of the far fields with the instantaneous location of the uniformly accelerated charge, it is shown that all its fields, including the acceleration fields, remain around the charge and are not {\em radiated away} from it.
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