论文标题

辐射功率与加速电荷的辐射反应引起的功率损失之间的差异

Discrepancy between power radiated and the power loss due to radiation reaction for an accelerated charge

论文作者

Singal, Ashok K.

论文摘要

我们在这里检查了辐射功率之间的差异,该辐射功率是根据无穷大的Poynting Flux计算出的,以及由于加速电荷的辐射反应引起的功率损失。有人强调,需要保持遥远观察者接收到的电磁功率与电荷发生的机械功率损失之间的明显区别。在文献中,两个数量几乎是同义词,两者通常可能会大不相同。结果表明,在周期性运动的情况下,这两个配方确实在平均意义上会产生功率损失,即使瞬时速率却大不相同。已经证明,两个功率公式之间的不一致仅反映了智障和当前时间之间的自我场中力量的差异。特别是,在统一加速的情况下,目前进入自我场的功率等于在弱势时间内进入自我场的力量,加上加速场中的功率,通常称为辐射。从将远场与均匀加速电荷的瞬时位置进行比较,可以证明其所有字段,包括加速场,都保留在电荷周围,并且不会{\ em辐射远方}。

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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