以长直载流导线磁场作摆动器场的自由电子激光的Madey定理

Madey theorem in a magnetostatic field produced by current carrying linear wire

Ｓ．Ｐｉｎｈａｓ提出以长直载流导线磁场作为摆动器场产生自由电子激光的新思想。本文利用单粒子理论推导出了反映自发辐射与受激辐射关系的Ｍａｄｅｙ定理在这种磁场中的对应形式。结果表明：Ｍａｄｅｙ定理的第一部分形式不变；而第二部分有相似形式，但相差一个倍乘因子。

S.Pinhas proposed a new wiggler field which is produced by current carrying linear wire.In this paper,we derive the Madey theorem in this kind of magnetostatic field by means of a single particle approach.It is shown that the first part of Madey theorem remains the same,but the second has a more factor.