From the beam-envelope matrix to synchrotron-radiation integrals.

From the beam-envelope matrix to synchrotron-radiation integrals.
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从束流包络矩阵到同步加速器辐射积分。

DOI:
10.1103/physreve.49.751
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发表时间:
1994
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
--
通讯作者:
K. Oide
K. Oide
中科院分区:
--
文献类型:
--
作者:
K. Ohmi;Kohji Hirata;K. Oide

文献摘要

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只要电子的运动是线性的,电子在储存环中的平衡状态可以用包络矩阵最精确地描述。平衡包线可以用与平衡重心(闭合轨道)相同的方法计算。这适合于精确的数值计算。“发射率”可以从包络中提取为近似量。辐射积分,其中表示的Twiss参数,色散和其他光学参数的发射度,扩展到涵盖一般6\ifmmode\times\else\texttimes\fi{}6动态。在模式之间没有任何耦合的情况下,这些模式减少到Sands模式。
The equilibrium state of an electron in a storage ring can be described most accurately by the envelope matrix, as long as the electron motion is linear. The equilibrium envelope can be calculated in the same way as the equilibrium barycenter (closed orbit). This is suited for accurate numerical calculations. The ``emittances'' can be extracted from the envelope as approximate quantities. The radiation integrals, which express the emittances in terms of Twiss parameters, dispersions, and other optical parameters, are extended to cover general 6\ifmmode\times\else\texttimes\fi{}6 dynamics. Without any coupling between modes, these reduce to those of Sands.