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arXiv 1505.08166physics.acc-ph
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储存环主晶格中带电粒子的线性动力学

Linear dynamics of charged particles in the main lattices of storage rings

Oleg Shishanin

摘要:

为了研究加速器磁场中同步辐射的特性,首先需要得到希尔方程的连续解。为此目的,梯度或磁场的分量被开发成一系列。现在对储存环采用同样的程序。这种方法被证明是有趣的,不仅从描述粒子在普通三维空间中的运动的角度来看,而且在我们得到新的微分方程的事实。这一简短的评论可以被视为对所提出的方法的介绍。下一步可能是添加非线性。这将是现有加速器中确定电子感应加速器振荡的最佳近似。

英文摘要:

To study the characteristics of synchrotron radiation in magnetic fields of accelerators first the author was necessary to obtain a continuous solutions of Hill's equation. For this purpose the gradient or the components of magnetic field were developed in a series. The same procedure is followed now in the case of storage rings. This approach proved to be interesting not only from the point of view of describing the motion of partiles in ordinary three-dimensional space but also in the fact that we get new differential equations. This brief review can be regarded as an introduction to the proposed method. The next step may be to add nonlinearities. This would be the best approximation to the determination of betatron oscillations in the existing accelerators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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