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本文从单粒子理论出发,导出了切化科夫自由电子激光中自发辐射与受激辐射的关系。结果表明:在切化科夫自由电子激光中也存在着类似于wiggler自由电子激光中的Madey公式的关系。文中还利用得出的结果对倾斜角度受激切伦科夫辐射的增益进行了计算。In this paper, on the basis of a single-particle model, the relationship between spontaneous radiation and stimulated radiation in Cerenkov free electron lasers is obtained. The results show that in Cerenkov free electron lasers there is a relationship similar to Madey Theorem in wiggler free electron lasers. The gain calculation of oblique angle stimulated Cerenkov radiation by making use of this relationship is given.







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