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应用Ｍａｄｅｙ定理计算了电子在ＳｈｏｌｍｏＰｉｎｈａｓ提出的一种磁场与纵向坐标无关的摆动器中自发辐射谱分布，并将所得到的结果与利用线性摆动器时产生的辐射谱进行了比较，发现它们有相同的形式。初步论证了利用该摆动器产生高次谐波相干辐射的可能性。
The Madey theorem is used to calculate the distribution of spontaneous emission spectra of electrons in an oscillator independent of the longitudinal coordinate proposed by Sholmo Pinhas. The obtained results are compared with those obtained by using linear oscillators and found to be the same form. The feasibility of using the oscillator to generate higher harmonic coherent radiation is preliminarily demonstrated.