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arXiv physics/9904041physics.acc-phchao-dynmath-phmath.MPnlin.CDphysics.comp-ph
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通过Wavelet的非线性加速器问题:3。插入装置对束流动力学的影响

Nonlinear Accelerator Problems via Wavelets: 3. Effects of Insertion Devices on Beam Dynamics

Antonina N. Fedorova, Michael G. Zeitlin

摘要:

在这一系列的八篇论文中,我们提出了一些加速器物理问题的小波分析多项式逼近的方法的应用。在这一部分中,我们假定场为正弦变化,考虑了插入装置对束流动力学影响的解析处理。利用小波方法研究了一类具有多项式非线性和变系数的动力学模型。我们构造了相应的小波表示。作为例子,我们考虑摆动器和波荡器磁体。我们认为,我们的变分方法,可适用于每个规模的进一步修改。

英文摘要:

In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part, assuming a sinusoidal field variation, we consider the analytical treatment of the effects of insertion devices on beam dynamics. We investigate via wavelet approach a dynamical model which has polynomial nonlinearities and variable coefficients. We construct the corresponding wavelet representation. As examples we consider wigglers and undulator magnets. We consider the further modification of our variational approach which may be applied in each scale.

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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