沿圆弧运动的电子束团的横向自场
Transverse self-fields within an electron bunch moving in an arc of a circle
摘要：
作为由外力驱动的运动的结果，自场（不同于静态情况）起源于电子聚束内。在磁场外力作用下，超相对论光束的纵向自相互作用导致了与CSR（相干同步辐射）相关的现象，这一现象已被广泛研究。另一方面，横向自相互作用也存在。目前，现有的横向自作用力理论分析只考虑了束团沿圆轨道运动的情况，而没有考虑有限长偏转磁体的情况。在本文中，我们提出了一个电动力学分析的横向自场的起源，在测试粒子的位置，从一个超相对论电子束团运动在一个圆弧。这个问题将首先在两粒子系统中解决。然后，我们将我们的考虑扩展到具有阶梯密度分布的线束，这种情况可以很容易地推广到任意密度分布的情况。我们的方法也被证明是有用的，以获得一个更好的洞察力的情况下，简单的圆周运动的物理，以解决众所周知的问题的横向自我力的部分补偿。
英文摘要：
As a consequence of motions driven by external forces, self-fields (which are different from the static case) originate within an electron bunch. In the case of magnetic external forces acting on an ultrarelativistic beam, the longitudinal self-interactions are responsible for CSR (Coherent Synchrotron Radiation)-related phenomena, which have been studied extensively. On the other hand, transverse self-interactions are present too. At the time being, existing theoretical analysis of transverse self-forces deal with the case of a bunch moving along a circular orbit only, without considering the situation of a bending magnet with a finite length. In this paper we propose an electrodynamical analysis of transverse self-fields which originate, at the position of a test particle, from an ultrarelativistic electron bunch moving in an arc of a circle. The problem will be first addressed within a two-particle system. We then extend our consideration to a line bunch with a stepped density distribution, a situation which can be easily generalized to the case of an arbitrary density distribution. Our approach turns out to be also useful in order to get a better insight in the physics involved in the case of simple circular motion and in order to address the well known issue of the partial compensation of transverse self-force.
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