论文标题

在Infinity sans辐射反应中非零的po循环对均匀加速电荷的含义

Implications of a non-zero Poynting flux at infinity sans radiation reaction for a uniformly accelerated charge

论文作者

Singal, Ashok K.

论文摘要

我们详细研究电磁场和在均匀加速电荷的情况下,以检查这种电荷是否会“发射”辐射,尤其是鉴于电荷上没有辐射反应的事实。特别是我们关注的是,从均匀加速电荷的时间延迟位置上计算出的po绕流动(接近无穷大!),并将其作为电荷发出的辐射的证据,我们将证明这是不正确的。由于电荷由于恒定的加速而达到速度,因此自我场中的能量会增加,通常被推断为辐射的po频流实际上构成了所需的能量的一部分,这是所需的能量被送入田野的一部分,足以匹配其在统一被批化的电荷的各种距离内的能量,包括远处的电荷,包括远面的区域,包括该区域。实际上,对于减速电荷而言,其自我场中的能量在与电荷的所有距离上都降低了,直到瞬间保持横向场中没有能量,并且能量下降的降低均通过poynting载体的内向径向流动,向poynting载体的向内流动,朝向拖载电荷的“当前”位置。此外,充电的自我场有一个对流,被视为沿电荷运动的“当前”运动方向,被视为一个po绕的流动组件。此外,我们将表明,即使电磁场(包括加速场)的电磁场,即使它们距电荷的延迟位置很遥远,它们仍在电荷的“当下”位置周围,由于统一加速度,它们本身正朝着无限的位置移动。

We study in detail the electromagnetic fields and the Poynting flux in the case of a uniformly accelerated charge, in order to examine whether such a charge does `emit' radiation, especially in view of the widely accepted fact that there is no radiation reaction on the charge. Our concern, in particular, is with the Poynting flow computed at large distances (approaching infinity!) from the time-retarded positions of uniformly accelerated charge, and taken as an evidence of radiation emitted by the charge, which we shall demonstrate to be not true. As the charge picks up speed due to a constant acceleration, the energy in its self-fields accordingly increases and the Poynting flow, usually inferred as radiation, actually forms part of the requisite energy being fed into fields, at a rate just sufficient to match the increasing energy in its self-fields at various distances from the uniformly accelerated charge, including that in the far-off regions. In fact, for the decelerating charge, the energy in its self-fields decreases, at all distances from the charge, till it comes to momentary rest with no energy in its transverse fields, and this decrease in energy is shown {\em everywhere} by an inward radial flow of the Poynting vector, toward the `present' position of the decelerating charge. Moreover, there is a convective flow of self-fields of the charge, seen as a Poynting flow component always along the `present' direction of motion of the charge. Further, we shall show that effectively the electromagnetic fields, including the acceleration fields, even when they are at large distances from the time-retarded position of the charge, they continue to be all around the `present' position of the charge which itself is moving toward infinity due to the uniform acceleration.

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